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志zhì第dì二èr十shí一yī天tiān文wén一yī

昔xī者zhě,尧yáo命mìng羲xī、和hé,出chū纳nà日rì月yuè,考kǎo星xīng中zhōng以yǐ正zhèng四sì时shí。至zhì舜shùn,则zé曰yuē“在zài璿xuán玑jī玉yù衡héng ,以yǐ齐qí七qī政zhèng”而ér已yǐ。虽suī二èr典diǎn质zhì略lüè,存cún其qí大dà法fǎ,亦yì由yóu古gǔ者zhě天tiān人rén之zhī际jì,推tuī候hòu占zhàn测cè,为wèi术shù犹yóu简jiǎn。至zhì于yú后hòu世shì,其qí法fǎ渐jiàn密mì者zhě。必bì积jī众zhòng人rén之zhī智zhì,然rán后hòu能néng极jí其qí精jīng微wēi哉zāi。盖gài自zì三sān代dài以yǐ来lái详xiáng矣yǐ。诗shī人rén所suǒ记jì,婚hūn礼lǐ、土tǔ功gōng必bì候hòu天tiān星xīng。而ér《春chūn秋qiū》书shū日rì食shí、星xīng变biàn,《传chuán》载zài诸zhū国guó所suǒ占zhàn次cì舍shě、伏fú见jiàn、逆nì顺shùn。至zhì于yú《周zhōu礼lǐ》测cè景jǐng求qiú中zhōng、分fēn星xīng辨biàn国guó、妖yāo祥xiáng察chá候hòu,皆jiē可kě推tuī考kǎo,而ér独dú无wú所suǒ谓wèi璿xuán玑jī玉yù衡héng者zhě,岂qǐ其qí不bù用yòng于yú三sān代dài耶yé?抑yì其qí法fǎ制zhì遂suì亡wáng,而ér不bù可kě复fù得dé耶yé?不bù然rán,二èr物wù者zhě,莫mò知zhī其qí为wèi何hé器qì也yě。至zhì汉hàn以yǐ后hòu,表biǎo测cè景jǐng晷guǐ,以yǐ正zhèng地dì中zhōng,分fēn列liè境jìng界jiè,上shàng当dàng星xīng次cì,皆jiē略lüè依yī古gǔ。而ér又yòu作zuò仪yí以yǐ候hòu天tiān地dì,而ér浑hún天tiān、周zhōu髀bì、宣xuān夜yè之zhī说shuō,至zhì于yú星xīng经jīng、历lì法fǎ,皆jiē出chū于yú数shù术shù之zhī学xué。唐táng兴xīng,太tài史shǐ李lǐ淳chún风fēng、浮fú图tú一yī行xíng,尤yóu称chēng精jīng博bó,后hòu世shì未wèi能néng过guò也yě。故gù采cǎi其qí要yào说shuō,以yǐ著zhù于yú篇piān。至zhì于yú天tiān象xiàng变biàn见jiàn所suǒ以yǐ谴qiǎn告gào人rén君jūn者zhě,皆jiē有yǒu司sī所suǒ宜yí谨jǐn记jì也yě。

贞zhēn观guàn初chū,淳chún风fēng上shàng言yán:“舜shùn在zài璿xuán玑jī玉yù衡héng,以yǐ齐qí七qī政zhèng,则zé浑hún天tiān仪yí也yě。《周zhōu礼lǐ》,土tǔ圭guī正zhèng日rì景jǐng以yǐ求qiú地dì中zhōng,有yǒu以yǐ见jiàn日rì行xíng黄huáng道dào之zhī验yàn也yě。暨jì于yú周zhōu末mò,此cǐ器qì乃nǎi亡wáng。汉hàn落là下xià闳hóng作zuò浑hún仪yí,其qí后hòu贾jiǎ逵kuí、张zhāng衡héng等děng亦yì各gè有yǒu之zhī,而ér推tuī验yàn七qī曜yào,并bìng循xún赤chì道dào。按àn冬dōng至zhì极jí南nán,夏xià至zhì极jí北běi,而ér赤chì道dào常cháng定dìng于yú中zhōng,国guó无wú南nán北běi之zhī异yì。盖gài浑hún仪yí无wú黄huáng道dào久jiǔ矣yǐ。”太tài宗zōng异yì其qí说shuō,因yīn诏zhào为wèi之zhī。至zhì七qī年nián仪yí成chéng。表biǎo里lǐ三sān重chóng,下xià据jù准zhǔn基jī,状zhuàng如rú十shí字zì,末mò树shù鰲áo足zú,以yǐ张zhāng四sì表biǎo。一yī曰yuē六liù合hé仪yí,有yǒu天tiān经jīng双shuāng规guī、金jīn浑hún纬wěi规guī、金jīn常cháng规guī,相xiāng结jié于yú四sì极jí之zhī内nèi。列liè二èr十shí八bā宿xiù、十shí日rì、十shí二èr辰chén、经jīng纬wěi三sān百bǎi六liù十shí五wǔ度dù。二èr曰yuē三sān辰chén仪yí,圆yuán径jìng八bā尺chǐ,有yǒu璿xuán玑jī规guī、月yuè游yóu规guī,列liè宿sù距jù度dù,七qī曜yào所suǒ行xíng,转zhuǎn于yú六liù合hé之zhī内nèi。三sān曰yuē四sì游yóu仪yí,玄xuán枢shū为wèi轴zhóu,以yǐ连lián结jié玉yù衡héng游yóu筩tóng而ér贯guàn约yuē矩jǔ规guī。又yòu玄xuán极jí北běi树shù北běi辰chén,南nán矩jǔ地dì轴zhóu,傍bàng转zhuǎn于yú内nèi。玉yù衡héng在zài玄xuán枢shū之zhī间jiān,而ér南nán北běi游yóu,仰yǎng以yǐ观guān天tiān之zhī辰chén宿sù,下xià以yǐ识shí器qì之zhī晷guǐ度dù。皆jiē用yòng铜tóng。帝dì称chēng善shàn,置zhì于yú凝níng晖huī阁gé,用yòng之zhī测cè候hòu。阁gé在zài禁jìn中zhōng,其qí后hòu遂suì亡wáng。

开kāi元yuán九jiǔ年nián,一yī行xíng受shòu诏zhào,改gǎi治zhì新xīn历lì,欲yù知zhī黄huáng道dào进jìn退tuì,而ér太tài史shǐ无wú黄huáng道dào仪yí,率lǜ府fǔ兵bīng曹cáo参cān军jūn梁liáng令lìng瓚zàn以yǐ木mù为wèi游yóu仪yí,一yī行xíng是shì之zhī,乃nǎi奏zòu:“黄huáng道dào游yóu仪yí,古gǔ有yǒu其qí术shù而ér无wú其qí器qì,昔xī人rén潜qián思sī,皆jiē未wèi能néng得dé。今jīn令lìng瓚zàn所suǒ为wèi,日rì道dào月yuè交jiāo,皆jiē自zì然rán契qì合hé,于yú推tuī步bù尤yóu要yào,请qǐng更gèng铸zhù以yǐ铜tóng铁tiě。”十shí一yī年nián仪yí成chéng。一yī行xíng又yòu曰yuē:“灵líng台tái铁tiě仪yí,后hòu魏wèi斛hú兰lán所suǒ作zuò,规guī制zhì朴pǔ略lüè,度dù刻kè不bù均jūn,赤chì道dào不bù动dòng,乃nǎi如rú胶jiāo柱zhù。以yǐ考kǎo月yuè行xíng,迟chí速sù多duō差chà,多duō或huò至zhì十shí七qī度dù,少shǎo不bù减jiǎn十shí度dù,不bù足zú以yǐ稽jī天tiān象xiàng、授shòu人rén时shí。李lǐ淳chún风fēng黄huáng道dào仪yí,以yǐ玉yù衡héng旋xuán规guī,别bié带dài日rì道dào,傍bàng列liè二èr百bǎi四sì十shí九jiǔ交jiāo,以yǐ携xié月yuè游yóu,法fǎ颇pǒ难nán,术shù遂suì寝qǐn废fèi。臣chén更gèng造zào游yóu仪yí,使shǐ黄huáng道dào运yùn行xíng,以yǐ追zhuī列liè舍shě之zhī变biàn,因yīn二èr分fēn之zhī中zhōng,以yǐ立lì黄huáng道dào,交jiāo于yú奎kuí、轸zhěn之zhī间jiān,二èr至zhì陟zhì降jiàng,各gè二èr十shí四sì度dù。黄huáng道dào内nèi施shī白bái道dào月yuè环huán,用yòng究jiū阴yīn阳yáng朓tiǎo,朒nǜ,动dòng合hé天tiān运yùn。简jiǎn而ér易yì从cóng,可kě以yǐ制zhì器qì垂chuí象xiàng,永yǒng传chuán不bù朽xiǔ。”于yú是shì玄xuán宗zōng嘉jiā之zhī,自zì为wèi之zhī铭míng。

又yòu诏zhào一yī行xíng与yǔ令lìng瓚zàn等děng更gèng铸zhù浑hún天tiān铜tóng仪yí,圆yuán天tiān之zhī象xiàng,具jù列liè宿sù赤chì道dào及jí周zhōu天tiān度dù数shù。注zhù水shuǐ激jī轮lún,令lìng其qí自zì转zhuàn,一yī昼zhòu夜yè而ér天tiān运yùn周zhōu。外wài络luò二èr轮lún,缀zhuì以yǐ日rì月yuè,令lìng得dé运yùn行xíng。每měi天tiān西xī旋xuán一yī周zhōu,日rì东dōng行xíng一yí度dù,月yuè行xíng十shí三sān度dù十shí九jiǔ分fēn度dù之zhī七qī,二èr十shí九jiǔ转zhuǎn有yǒu余yú而ér日rì月yuè会huì,三sān百bǎi六liù十shí五wǔ转zhuǎn而ér日rì周zhōu天tiān。以yǐ木mù柜guì为wèi地dì平píng,令lìng仪yí半bàn在zài地dì下xià,晦huì明míng朔shuò望wàng迟chí速sù有yǒu准zhǔn。立lì木mù人rén二èr于yú地dì平píng上shàng:其qí一yī前qián置zhì鼓gǔ以yǐ候hòu刻kè,至zhì一yī刻kè则zé自zì击jī之zhī;其qí一yī前qián置zhì钟zhōng以yǐ候hòu辰chén,至zhì一yī辰chén亦yì自zì撞zhuàng之zhī。皆jiē于yú柜guì中zhōng各gè施shī轮lún轴zhóu,钩gōu键jiàn关guān锁suǒ,交jiāo错cuò相xiāng持chí。置zhì于yú武wǔ成chéng殿diàn前qián,以yǐ示shì百bǎi官guān。无wú几jǐ而ér铜tóng铁tiě渐jiàn涩sè,不bù能néng自zì转zhuàn,遂suì藏cáng于yú集jí贤xián院yuàn。

其qí黄huáng道dào游yóu仪yí,以yǐ古gǔ尺chǐ四sì分fēn为wéi度dù。旋xuán枢shū双shuāng环huán,其qí表biǎo一yī丈zhàng四sì尺chǐ六liù寸cùn一yī分fēn,纵zòng八bā分fēn,厚hòu三sān分fēn,直zhí径jìng四sì尺chǐ五wǔ寸cùn九jiǔ分fēn,古gǔ所suǒ谓wèi旋xuán仪yí也yě。南nán北běi科kē两liǎng极jí,上shàng下xià循xún规guī各gè三sān十shí四sì度dù。表biǎo里lǐ画huà周zhōu天tiān度dù,其qí一yí面miàn加jiā之zhī银yín钉dīng。使shǐ东dōng西xī运yùn转zhuàn,如rú浑hún天tiān游yóu旋xuán。中zhōng旋xuán枢shū轴zhóu,至zhì两liǎng极jí首shǒu内nèi,孔kǒng径jìng大dà两liǎng度dù半bàn,长zhǎng与yǔ旋xuán环huán径jìng齐qí。玉yù衡héng望wàng筩tóng,长zhǎng四sì尺chǐ五wǔ寸cùn八bā分fēn,广guǎng一yī寸cùn二èr分fēn,厚hòu一yī寸cùn,孔kǒng径jìng六liù分fēn。衡héng旋xuán于yú轴zhóu中zhōng,旋xuán运yùn持chí正zhèng,用yòng窥kuī七qī曜yào及jí列liè星xīng之zhī阔kuò狭xiá。外wài方fāng内nèi圆yuán,孔kǒng径jìng一yí度dù半bàn,周zhōu日rì轮lún也yě。阳yáng经jīng双shuāng环huán,表biǎo一yī丈zhàng七qī尺chǐ三sān寸cùn,里lǐ一yī丈zhàng四sì尺chǐ六liù寸cùn四sì分fēn,广guǎng四sì寸cùn,厚hòu四sì分fēn,直zhí径jìng五wǔ尺chǐ四sì寸cùn四sì分fēn,置zhì于yú子zi午wǔ。左zuǒ右yòu用yòng八bā柱zhù,八bā柱zhù相xiāng固gù。亦yì表biǎo里lǐ画huà周zhōu天tiān度dù,其qí一yí面miàn加jiā之zhī银yín钉dīng。半bàn出chū地dì上shàng,半bàn入rù地dì下xià。双shuāng间jiān挟xié枢shū轴zhóu及jí玉yù衡héng望wàng筩tóng旋xuán环huán于yú中zhōng也yě。阴yīn纬wěi单dān环huán,外wài内nèi广guǎng厚hòu周zhōu径jìng,皆jiē准zhǔn阳yáng经jīng,与yǔ阳yáng经jīng相xiāng衔xián各gè半bàn,内nèi外wài俱jù齐qí。面miàn平píng,上shàng为wèi天tiān,下xià为wèi地dì。横héng周zhōu阳yáng环huán,谓wèi之zhī阴yīn浑hún也yě。平píng上shàng为wèi两liǎng界jiè,内nèi外wài为wèi周zhōu天tiān百bǎi刻kè。天tiān顶dǐng单dān环huán,表biǎo一yī丈zhàng七qī尺chǐ三sān寸cùn,纵zòng广guǎng八bā尺chǐ,厚hòu三sān分fēn,直zhí径jìng五wǔ尺chǐ四sì寸cùn四sì分fēn。直zhí中zhōng国guó人rén顶dǐng之zhī上shàng,东dōng西xī当dāng卯mǎo酉yǒu之zhī中zhōng,稍shāo南nán,使shǐ见jiàn日rì出chū入rù。令lìng与yǔ阳yáng经jīng、阴yīn纬wěi相xiāng固gù,如rú鸟niǎo壳ké之zhī裹guǒ黄huáng。南nán去qù赤chì道dào三sān十shí六liù度dù,去qù黄huáng道dào十shí二èr度dù,去qù北běi极jí五wǔ十shí五wǔ度dù,去qù南nán北běi平píng各gè九jiǔ十shí一yí度dù强qiáng。赤chì道dào单dān环huán,表biǎo一yī丈zhàng四sì尺chǐ五wǔ寸cùn九jiǔ分fēn,横héng八bā分fēn,厚hòu三sān分fēn,直zhí径jìng四sì尺chǐ五wǔ寸cùn八bā分fēn。赤chì道dào者zhě,当dàng天tiān之zhī中zhōng,二èr十shí八bā宿xiù之zhī位wèi也yě。双shuāng规guī运yùn动dòng,度dù穿chuān一yī穴xué。古gǔ者zhě,秋qiū分fēn日rì在zài角jiǎo五wǔ度dù,今jīn在zài轸zhěn十shí三sān度dù;冬dōng至zhì日rì在zài牵qiān牛niú初chū,今jīn在zài斗dòu十shí度dù。随suí穴xué退tuì交jiāo,不bù复fù差chà缪móu。傍bàng在zài卯mǎo酉yǒu之zhī南nán,上shàng去qù天tiān顶dǐng三sān十shí六liù度dù,而ér横héng置zhì之zhī。黄huáng道dào单dān环huán,表biǎo一yī丈zhàng五wǔ尺chǐ四sì寸cùn一yī分fēn,横héng八bā分fēn,厚hòu四sì分fēn,直zhí径jìng四sì尺chǐ八bā寸cùn四sì分fēn。日rì之zhī所suǒ行xíng,故gù名míng横héng道dào。太tài阳yáng陟zhì降jiàng,积jī岁suì有yǒu差chà。月yuè及jí五wǔ星xīng,亦yì随suí日rì度dù出chū入rù。古gǔ无wú其qí器qì,规guī制zhì不bù知zhī准zhǔn的de,斟zhēn酌zhuó为wèi率lǜ,疏shū阔kuò尤yóu甚shèn。今jīn设shè此cǐ环huán,置zhì于yú赤chì道dào环huán内nèi,仍réng开kāi合hé使shǐ运yùn转zhuàn,出chū入rù四sì十shí八bā度dù,而ér极jí画huà两liǎng方fāng,东dōng西xī列liè周zhōu天tiān度dù数shù,南nán北běi列liè百bǎi刻kè,可kě使shǐ见jiàn日rì知zhī时shí。上shàng列liè三sān百bǎi六liù十shí策cè,与yǔ用yòng卦guà相xiāng准zhǔn。度dù穿chuān一yī穴xué,与yǔ赤chì道dào相xiāng交jiāo。白bái道dào月yuè环huán,表biǎo一yī丈zhàng五wǔ尺chǐ一yī寸cùn五wǔ分fēn,横héng八bā分fēn,厚hòu三sān分fēn,直zhí径jìng四sì尺chǐ七qī寸cùn六liù分fēn。用yòng行xíng有yǒu迂yū曲qū迟chí速sù,与yǔ日rì行xíng缓huǎn急jí相xiāng及jí。古gǔ亦yì无wú其qí器qì,今jīn设shè于yú黄huáng道dào环huán内nèi,使shǐ就jiù黄huáng道dào为wèi交jiāo合hé,出chū入rù六liù度dù,以yǐ测cè每měi夜yè月yuè离lí,上shàng画huà周zhōu天tiān度dù数shù,度dù穿chuān一yī穴xué,拟nǐ移yí交jiāo会huì。皆jiē用yòng钢gāng铁tiě。游yóu仪yí,四sì柱zhù为wèi龙lóng,其qí崇chóng四sì尺chǐ七qī寸cùn,水shuǐ槽cáo及jí山shān崇chóng一yī尺chǐ七qī寸cùn半bàn,槽cáo长zhǎng六liù尺chǐ九jiǔ寸cùn,高gāo、广guǎng皆jiē四sì寸cùn,池chí深shēn一yī寸cùn,广guǎng一yī寸cùn半bàn。龙lóng能néng兴xīng云yún雨yǔ,故gù以yǐ饰shì柱zhù。柱zhù在zài四sì维wéi。龙lóng下xià有yǒu山shān、云yún,俱jù在zài水shuǐ平píng槽cáo上shàng。皆jiē用yòng铜tóng。

其qí所suǒ测cè宿sù度dù与yǔ古gǔ异yì者zhě:旧jiù经jīng,角jiǎo距jù星xīng去qù极jí九jiǔ十shí一yí度dù,亢kàng八bā十shí九jiǔ度dù,氐dī九jiǔ十shí四sì度dù,房fáng百bǎi八bā度dù,心xīn百bǎi八bā度dù,尾wěi百bǎi二èr十shí度dù,箕jī百bǎi一yī十shí八bā度dù,南nán斗dòu百bǎi一yī十shí六liù度dù,牵qiān牛niú百bǎi六liù度dù,须xū女nǚ百bǎi度dù,虚xū百bǎi四sì度dù,危wēi九jiǔ十shí七qī度dù,营yíng室shì八bā十shí五wǔ度dù,东dōng壁bì八bā十shí六liù度dù,奎kuí七qī十shí六liù度dù,娄lóu八bā十shí度dù,胃wèi、昴mǎo七qī十shí四sì度dù,毕bì七qī十shí八bā度dù,觜zī觿xī、八bā十shí四sì度dù,参cān九jiǔ十shí四sì度dù,东dōng井jǐng七qī十shí度dù,舆yú鬼guǐ六liù十shí八bā度dù,柳liǔ七qī十shí七qī度dù,七qī星xīng九jiǔ十shí一yí度dù,张zhāng九jiǔ十shí七qī度dù,翼yì九jiǔ十shí七qī度dù,轸zhěn九jiǔ十shí八bā度dù。今jīn测cè,角jiǎo九jiǔ十shí三sān度dù半bàn,亢kàng九jiǔ十shí一yí度dù半bàn,氐dī九jiǔ十shí八bā度dù,房fáng百bǎi一yī十shí度dù半bàn,心xīn百bǎi一yī十shí度dù,尾wěi百bǎi二èr十shí四sì度dù,箕jī百bǎi二èr十shí度dù,南nán斗dòu百bǎi一yī十shí九jiǔ度dù,牵qiān牛niú百bǎi四sì度dù,须xū女nǚ百bǎi一yí度dù,虚xū百bǎi一yí度dù,危wēi九jiǔ十shí七qī度dù,营yíng室shì八bā十shí三sān度dù,东dōng壁bì八bā十shí四sì度dù,奎kuí七qī十shí三sān度dù,娄lóu七qī十shí七qī度dù,胃wèi、昴mǎo七qī十shí二èr度dù,毕bì七qī十shí六liù度dù,觜zī觿xī八bā十shí二èr度dù,参cān九jiǔ十shí三sān度dù,东dōng井jǐng六liù十shí八bā度dù,舆yú鬼guǐ六liù十shí八bā度dù,柳liǔ八bā十shí度dù半bàn,七qī星xīng九jiǔ十shí三sān度dù半bàn,张zhāng百bǎi度dù,翼yì百bǎi三sān度dù,轸zhěn百bǎi度dù。

又yòu旧jiù经jīng,角jiǎo距jù星xīng正zhèng当dāng赤chì道dào,黄huáng道dào在zài其qí南nán;今jīn测cè,角jiǎo在zài赤chì道dào南nán二èr度dù半bàn,则zé黄huáng道dào复fù经jīng角jiǎo中zhōng,与yǔ天tiān象xiàng合hé。虚xū北běi星xīng旧jiù图tú入rù虚xū,今jīn测cè在zài须xū女nǚ九jiǔ度dù。危wēi北běi星xīng旧jiù图tú入rù危wēi,今jīn测cè在zài虚xū六liù度dù半bàn。又yòu奎kuí误wù距jù以yǐ西xī大dà星xīng,故gù壁bì损sǔn二èr度dù,奎kuí增zēng二èr度dù;今jīn复fù距jù西xī南nán大dà星xīng,即jí奎kuí、壁bì各gè得dé本běn度dù。毕bì、赤chì道dào十shí六liù度dù,黄huáng道dào亦yì十shí六liù度dù。觜zī觿xī,赤chì道dào二èr度dù,黄huáng道dào三sān度dù。二èr宿sù俱jù当dāng黄huáng道dào斜xié虚xū,毕bì尚shàng与yǔ赤chì道dào度dù同tóng,觜zī觿xī总zǒng二èr度dù,黄huáng道dào损sǔn加jiā一yí度dù,盖gài其qí误wù也yě。今jīn测cè毕bì十shí七qī度dù半bàn,觜zī觿xī半bàn度dù。又yòu柳liǔ误wù距jù以yǐ第dì四sì星xīng,今jīn复fù用yòng第dì三sān星xīng。张zhāng中zhōng央yāng四sì星xīng为wèi硃zhū鸟niǎo嗉sù,外wài二èr星xīng为wèi翼yì,北běi距jù以yǐ翼yì而ér不bù距jù以yǐ膺yīng,故gù张zhāng增zēng二èr度dù半bàn,七qī星xīng减jiǎn二èr度dù半bàn;今jīn复fù以yǐ膺yīng为wèi距jù,则zé七qī星xīng、张zhāng各gè得dé本běn度dù。

其qí他tā星xīng:旧jiù经jīng,文wén昌chāng二èr星xīng在zài舆yú鬼guǐ,四sì星xīng在zài东dōng井jǐng。北běi斗dǒu枢shū在zài七qī星xīng一yí度dù,璿xuán在zài张zhāng二èr度dù,机jī在zài翼yì二èr度dù,权quán在zài翼yì八bā度dù,衡héng在zài轸zhěn八bā度dù,开kāi阳yáng在zài角jiǎo七qī度dù,杓biāo在zài亢kàng四sì度dù。天tiān关guān在zài黄huáng道dào南nán四sì度dù,天tiān尊zūn、天tiān椁guǒ在zài黄huáng道dào北běi,天tiān江jiāng、天tiān高gāo、狗gǒu国guó、外wài屏píng、云yún雨yǔ、虚xū梁liáng在zài黄huáng道dào外wài,天tiān囷qūn、土tǔ公gōng吏lì在zài赤chì道dào外wài,上shàng台tái在zài东dōng井jǐng,中zhōng台tái在zài七qī星xīng,建jiàn星xīng在zài黄huáng道dào北běi半bàn度dù,天tiān苑yuàn在zài昴mǎo、毕bì,王wáng良liáng在zài壁bì,外wài屏píng在zài觜zī觿xī,雷léi电diàn在zài赤chì道dào外wài五wǔ度dù,霹pī雳lì在zài赤chì道dào外wài四sì度dù,八bā魁kuí在zài营yíng室shì,长zhǎng垣yuán、罗luó堰yàn当dāng黄huáng道dào。今jīn测cè,文wén昌chāng四sì星xīng在zài柳liǔ,一yī星xīng在zài舆yú鬼guǐ,一yī星xīng在zài东dōng井jǐng。北běi斗dǒu枢shū在zài张zhāng十shí三sān度dù,璿xuán在zài张zhāng十shí二èr度dù半bàn,机jī在zài翼yì十shí三sān度dù,权quán在zài翼yì十shí七qī度dù太tài,衡héng在zài轸zhěn十shí度dù半bàn,开kāi阳yáng在zài角jiǎo四sì度dù少shǎo,杓biāo在zài角jiǎo十shí二èr度dù少shǎo。天tiān关guān、天tiān尊zūn、天tiān椁guǒ、天tiān江jiāng、天tiān高gāo、狗gǒu国guó、外wài屏píng,皆jiē当dāng黄huáng道dào。云yún雨yǔ在zài黄huáng道dào内nèi七qī度dù,虚xū梁liáng在zài黄huáng道dào内nèi四sì度dù,天tiān囷qūn当dāng赤chì道dào,土tǔ公gōng吏lì在zài赤chì道dào内nèi六liù度dù,上shàng台tái在zài柳liǔ,中zhōng台tái在zài张zhāng,建jiàn星xīng在zài黄huáng道dào北běi四sì度dù半bàn,天tiān苑yuàn在zài胃wèi、昴mǎo,王wáng良liáng四sì星xīng在zài奎kuí,一yī星xīng在zài壁bì,外wài屏píng在zài毕bì,雷léi电diàn在zài赤chì道dào内nèi二èr度dù,霹pī雳lì四sì星xīng在zài赤chì道dào内nèi,一yī星xīng在zài外wài,八bā魁kuí五wǔ星xīng在zài壁bì,四sì星xīng在zài营yíng室shì,长zhǎng垣yuán在zài黄huáng道dào北běi五wǔ度dù,罗luó堰yàn在zài黄huáng道dào北běi。

黄huáng道dào,春chūn分fēn与yǔ赤chì道dào交jiāo于yú奎kuí五wǔ度dù太tài;秋qiū分fēn交jiāo于yú轸zhěn十shí四sì度dù少shǎo;冬dōng至zhì在zài斗dòu十shí度dù,去qù赤chì道dào南nán二èr十shí四sì度dù;夏xià至zhì在zài井jǐng十shí三sān度dù少shǎo,去qù赤chì道dào北běi二èr十shí四sì度dù。其qí赤chì道dào带dài天tiān之zhī中zhōng,以yǐ分fēn列liè宿sù之zhī度dù。黄huáng道dào斜xié运yùn,以yǐ明míng日rì月yuè之zhī行xíng。乃nǎi立lì八bā节jié、九jiǔ限xiàn,校xiào二èr道dào差chā数shù,著zhù之zhī历lì经jīng。

盖gài天tiān之zhī说shuō,李lǐ淳chún风fēng以yǐ为wéi天tiān地dì中zhōng高gāo而ér四sì颓tuí,日rì月yuè相xiàng隐yǐn蔽bì,以yǐ为wéi昼zhòu夜yè。绕rào北běi极jí常cháng见jiàn者zhě谓wèi之zhī上shàng规guī,南nán极jí常cháng隐yǐn者zhě谓wèi之zhī下xià规guī,赤chì道dào横héng络luò者zhě谓wèi之zhī中zhōng规guī。及jí一yī行xíng考kǎo月yuè行xíng出chū入rù黄huáng道dào,为wèi图tú三sān十shí六liù,究jiū九jiǔ道dào之zhī增zēng损sǔn,而ér盖gài天tiān之zhī状zhuàng见jiàn矣yǐ。

削xuē篾miè为wèi度dù,径jìng一yī分fēn,其qí厚hòu半bàn之zhī,长zhǎng与yǔ图tú等děng,穴xué其qí正zhèng中zhōng,植zhí针zhēn为wèi枢shū,令lìng可kě环huán运yùn。自zì中zhōng枢shū之zhī外wài,均jūn刻kè百bǎi四sì十shí七qī度dù。全quán度dù之zhī末mò,旋xuán为wèi外wài规guī。规guī外wài太tài半bàn度dù,再zài旋xuán为wèi重zhòng规guī。以yǐ均jūn赋fù周zhōu天tiān度dù分fēn。又yòu距jù极jí枢shū九jiǔ十shí一yí度dù少shǎo半bàn,旋xuán为wèi赤chì道dào带dài天tiān之zhī纮hóng。距jù极jí三sān十shí五wǔ度dù旋xuán为wèi内nèi规guī。

乃nǎi步bù冬dōng至zhì日rì躔chán所suǒ在zài,以yǐ正zhèng辰chén次cì之zhī中zhōng,以yǐ立lì宿sù距jù。按àn浑hún仪yí所suǒ测cè,甘gān、石shí、巫wū咸xián众zhòng星xīng明míng者zhě,皆jiē以yǐ篾miè,横héng考kǎo入rù宿sù距jù,纵zòng考kǎo去qù极jí度dù,而ér后hòu图tú之zhī。其qí赤chì道dào外wài众zhòng星xīng疏shū密mì之zhī状zhuàng,与yǔ仰yǎng视shì小xiǎo殊shū者zhě,由yóu浑hún仪yí去qù南nán极jí渐jiàn近jìn,其qí度dù益yì狭xiá;而ér盖gài图tú渐jiàn远yuǎn,其qí度dù益yì广guǎng使shǐ然rán。若ruò考kǎo其qí去qù极jí入rù宿sù度dù数shù,移yí之zhī于yú浑hún天tiān则zé一yī也yě。又yòu赤chì道dào内nèi外wài,其qí广guǎng狭xiá不bù均jūn,若ruò就jiù二èr至zhì出chū入rù赤chì道dào二èr十shí四sì度dù,以yǐ规guī度dù之zhī,则zé二èr分fēn所suǒ交jiāo不bù得dé其qí正zhèng;自zì二èr分fēn黄huáng赤chì道dào交jiāo,以yǐ规guī度dù之zhī,则zé二èr至zhì距jù极jí度dù数shù不bù得dé其qí正zhèng;当dāng求qiú赤chì道dào分fēn、至zhì之zhī中zhōng,均jūn刻kè为wèi七qī十shí二èr限xiàn,据jù每měi黄huáng道dào差chā数shù,以yǐ篾miè度dù量liàng而ér识shí之zhī,然rán后hòu规guī为wèi黄huáng道dào,则zé周zhōu天tiān咸xián得dé其qí正zhèng矣yǐ。又yòu考kǎo黄huáng道dào二èr分fēn二èr至zhì之zhī中zhōng,均jūn刻kè为wèi七qī十shí二èr候hòu,定dìng阴yīn阳yáng历lì二èr交jiāo所suǒ在zài,依yī月yuè去qù黄huáng道dào度dù,率lǜ差chà一yī候hòu,亦yì以yǐ篾miè度dù量liàng而ér识shí之zhī,然rán后hòu规guī为wèi月yuè道dào,则zé周zhōu天tiān咸xián得dé其qí正zhèng矣yǐ。

中zhōng晷guǐ之zhī法fǎ。初chū,淳chún风fēng造zào历lì,定dìng二èr十shí四sì气qì中zhōng晷guǐ,与yǔ祖zǔ冲chōng之zhī短duǎn长cháng颇pǒ异yì,然rán未wèi知zhī其qí孰shú是shì。及jí一yī行xíng作zuò《大dà衍yǎn历lì》,诏zhào太tài史shǐ测cè天tiān下xià之zhī晷guǐ,求qiú其qí土tǔ中zhōng,以yǐ为wéi定dìng数shù。其qí议yì曰yuē:

《周zhōu礼lǐ·大dà司sī徒tú》:“以yǐ土tǔ圭guī之zhī法fǎ测cè土tǔ深shēn。日rì至zhì之zhī景jǐng,尺chǐ有yǒu五wǔ寸cùn,谓wèi之zhī地dì中zhōng。”郑zhèng氏shì以yǐ为wéi“日rì景jǐng于yú地dì,千qiān里lǐ而ér差chà一yī寸cùn。尺chǐ有yǒu五wǔ寸cùn者zhě,南nán戴dài日rì下xià万wàn五wǔ千qiān里lǐ,地dì与yǔ星xīng辰chén四sì游yóu升shēng降jiàng于yú三sān万wàn里lǐ内nèi,是shì以yǐ半bàn之zhī,得dé地dì中zhōng,今jīn颍yǐng川chuān阳yáng城chéng是shì也yě”。宋sòng元yuán嘉jiā中zhōng,南nán征zhēng林lín邑yì,五wǔ月yuè立lì表biǎo望wàng之zhī,日rì在zài表biǎo北běi,交jiāo州zhōu影yǐng在zài表biǎo南nán三sān寸cùn,林lín邑yì九jiǔ寸cùn一yī分fēn。交jiāo州zhōu去qù洛luò,水shuǐ陆lù之zhī路lù九jiǔ千qiān里lǐ,盖gài山shān川chuān回huí折zhé使shǐ之zhī然rán,以yǐ表biǎo考kǎo其qí弦xián当dāng五wǔ千qiān乎hū。开kāi元yuán十shí二èr年nián,测cè交jiāo州zhōu,夏xià至zhì,在zài表biǎo南nán三sān寸cùn三sān分fēn,与yǔ元yuán嘉jiā所suǒ测cè略lüè同tóng。使shǐ者zhě大dà相xiāng元yuán太tài言yán:“交jiāo州zhōu望wàng极jí,才cái高gāo二èr十shí余yú度dù。八bā月yuè海hǎi中zhōng望wàng老lǎo人rén星xīng下xià列liè星xīng粲càn然rán,明míng大dà者zhě甚shèn众zhòng,古gǔ所suǒ未wèi识shí,乃nǎi浑hún天tiān家jiā以yǐ为wéi常cháng没méi地dì中zhōng者zhě也yě。大dà率shuài去qù南nán极jí二èr十shí度dù已yǐ上shàng之zhī星xīng则zé见jiàn。”又yòu铁tiě勒lēi、回huí纥hé在zài薛xuē延yán陀tuó之zhī北běi,去qù京jīng师shī六liù千qiān九jiǔ百bǎi里lǐ,其qí北běi又yòu有yǒu骨gǔ利lì干gàn,居jū澣huàn海hǎi之zhī北běi,北běi距jù大dà海hǎi,昼zhòu长zhǎng而ér夜yè短duǎn,既jì夜yè,天tiān如rú曛xūn不bù暝míng,夕xī胹ér羊yáng髀bì才cái熟shú而ér曙shǔ,盖gài近jìn日rì出chū没mò之zhī所suǒ。太tài史shǐ监jiān南nán宫gōng说shuō择zé河hé南nán平píng地dì,设shè水shuǐ准zhǔn绳shéng墨mò植zhí表biǎo而ér以yǐ引yǐn度dù之zhī,自zì滑huá台tái始shǐ白bái马mǎ,夏xià至zhì之zhī晷guǐ,尺chǐ五wǔ寸cùn七qī分fēn。又yòu南nán百bǎi九jiǔ十shí八bā里lǐ百bǎi七qī十shí九jiǔ步bù,得dé浚jùn仪yí岳yuè台tái,晷guǐ尺chǐ五wǔ寸cùn三sān分fēn。又yòu南nán百bǎi六liù十shí七qī里lǐ二èr百bǎi八bā十shí一yī步bù,得dé扶fú沟gōu,晷guǐ尺chǐ四sì寸cùn四sì分fēn。又yòu南nán百bǎi六liù十shí里lǐ百bǎi一yī十shí步bù,至zhì上shàng蔡cài武wǔ津jīn,晷guǐ尺chǐ三sān寸cùn六liù分fēn半bàn。大dà率shuài五wǔ百bǎi二èr十shí六liù里lǐ二èr百bǎi七qī十shí步bù,晷guǐ差chà二èr寸cùn余yú。而ér旧jiù说shuō王wáng畿jī千qiān里lǐ,影yǐng差chà一yī寸cùn,妄wàng矣yǐ。

今jīn以yǐ句jù股gǔ校xiào阳yáng城chéng中zhōng晷guǐ,夏xià至zhì尺chǐ四sì寸cùn七qī分fēn八bā厘lí,冬dōng至zhì丈zhàng二èr尺chǐ七qī寸cùn一yī分fēn半bàn,定dìng春chūn秋qiū分fēn五wǔ尺chǐ四sì寸cùn三sān分fēn,以yǐ覆fù矩jǔ斜xié视shì,极jí出chū地dì三sān十shí四sì度dù十shí分fēn度dù之zhī四sì。自zì滑huá台tái表biǎo视shì之zhī,极jí高gāo三sān十shí五wǔ度dù三sān分fēn,冬dōng至zhì丈zhàng三sān尺chǐ,定dìng春chūn秋qiū分fēn五wǔ尺chǐ五wǔ寸cùn六liù分fēn。自zì浚jùn仪yí表biǎo视shì之zhī,极jí高gāo三sān十shí四sì度dù八bā分fēn,冬dōng至zhì丈zhàng二èr尺chǐ八bā寸cùn五wǔ分fēn,定dìng春chūn秋qiū分fēn五wǔ尺chǐ五wǔ寸cùn。知zhī扶fú沟gōu表biǎo视shì之zhī,极jí高gāo三sān十shí四sì度dù三sān分fēn,冬dōng至zhì丈zhàng二èr尺chǐ五wǔ寸cùn五wǔ分fēn,定dìng春chūn秋qiū分fēn五wǔ尺chǐ三sān寸cùn七qī分fēn。上shàng蔡cài武wǔ津jīn表biǎo视shì之zhī,极jí高gāo三sān十shí三sān度dù八bā分fēn,冬dōng至zhì丈zhàng二èr尺chǐ三sān寸cùn八bā分fēn,定dìng春chūn秋qiū分fēn五wǔ尺chǐ二èr寸cùn八bā分fēn。其qí北běi极jí去qù地dì,虽suī秒miǎo分fēn微wēi有yǒu盈yíng缩suō,难nán以yǐ目mù校xiào,大dà率shuài三sān百bǎi五wǔ十shí一yī里lǐ八bā十shí步bù,而ér极jí差chà一yí度dù。极jí之zhī远yuǎn近jìn异yì,则zé黄huáng道dào轨guǐ景jǐng固gù随suí而ér变biàn矣yǐ。自zì此cǐ为wèi率lǜ推tuī之zhī,比bǐ岁suì武wǔ陵líng晷guǐ,夏xià至zhì七qī寸cùn七qī分fēn,冬dōng至zhì丈zhàng五wǔ寸cùn三sān分fēn,春chūn秋qiū分fēn四sì尺chǐ三sān寸cùn七qī分fēn半bàn,以yǐ图tú测cè之zhī,定dìng气qì四sì尺chǐ四sì寸cùn七qī分fēn,按àn图tú斜xié视shì,极jí高gāo二èr十shí九jiǔ度dù半bàn,差chà阳yáng城chéng五wǔ度dù三sān分fēn。蔚wèi州zhōu横héng野yě军jūn夏xià至zhì二èr尺chǐ二èr寸cùn九jiǔ分fēn,冬dōng至zhì丈zhàng五wǔ尺chǐ八bā寸cùn九jiǔ分fēn,春chūn秋qiū分fēn六liù尺chǐ四sì寸cùn四sì分fēn半bàn,以yǐ图tú测cè之zhī,定dìng气qì六liù尺chǐ六liù寸cùn二èr分fēn半bàn。按àn图tú斜xié视shì,极jí高gāo四sì十shí度dù,差chà阳yáng城chéng五wǔ度dù三sān分fēn。凡fán南nán北běi之zhī差chà十shí度dù半bàn,其qí径jìng三sān千qiān六liù百bǎi八bā十shí里lǐ九jiǔ十shí步bù。自zì阳yáng城chéng至zhì武wǔ陵líng,千qiān八bā百bǎi二èr十shí六liù里lǐ七qī十shí六liù步bù;自zì阳yáng城chéng至zhì横héng野yě,千qiān八bā百bǎi六liù十shí一yī里lǐ二èr百bǎi十shí四sì步bù。夏xià至zhì晷guǐ差chà尺chǐ五wǔ寸cùn三sān分fēn;自zì阳yáng城chéng至zhì武wǔ陵líng,差chà七qī寸cùn三sān分fēn;自zì阳yáng城chéng至zhì横héng野yě,差chà八bā寸cùn。冬dōng至zhì晷guǐ差chà五wǔ尺chǐ三sān寸cùn六liù分fēn,自zì阳yáng城chéng至zhì武wǔ陵líng差chà二èr尺chǐ一yī寸cùn八bā分fēn;自zì阳yáng城chéng至zhì横héng野yě,差chà三sān尺chǐ一yī寸cùn八bā分fēn。率lǜ夏xià至zhì与yǔ南nán方fāng差chà少shǎo,冬dōng至zhì与yǔ北běi方fāng差chà多duō。

又yòu以yǐ图tú校xiào安ān南nán,日rì在zài天tiān顶dǐng北běi二èr度dù四sì分fēn,极jí高gāo二èr十shí度dù四sì分fēn。冬dōng至zhì晷guǐ七qī尺chǐ九jiǔ寸cùn四sì分fēn,定dìng春chūn秋qiū分fēn二èr尺chǐ九jiǔ寸cùn三sān分fēn,夏xià至zhì在zài表biǎo南nán三sān寸cùn三sān分fēn,差chà阳yáng城chéng十shí四sì度dù三sān分fēn,其qí径jìng五wǔ千qiān二èr十shí三sān里lǐ。至zhì林lín邑yì,日rì在zài天tiān顶dǐng北běi六liù度dù六liù分fēn强qiáng,极jí高gāo十shí七qī度dù四sì分fēn,周zhōu圆yuán三sān十shí五wǔ度dù,常cháng见jiàn不bù隐yǐn。冬dōng至zhì晷guǐ六liù尺chǐ九jiǔ寸cùn,定dìng春chūn秋qiū分fēn二èr尺chǐ八bā寸cùn五wǔ分fēn,夏xià至zhì在zài表biǎo南nán五wǔ寸cùn七qī分fēn,其qí径jìng六liù千qiān一yì百bǎi一yī十shí二èr里lǐ。若ruò令lìng距jù阳yáng城chéng而ér北běi,至zhì铁tiě勒lēi之zhī地dì,亦yì差chà十shí七qī度dù四sì分fēn,与yǔ林lín邑yì正zhèng等děng,则zé五wǔ月yuè日rì在zài天tiān顶dǐng南nán二èr十shí七qī度dù四sì分fēn,极jí高gāo五wǔ十shí二èr度dù,周zhōu圆yuán百bǎi四sì度dù,常cháng见jiàn不bù隐yǐn。北běi至zhì晷guǐ四sì尺chǐ一yī寸cùn三sān分fēn,南nán至zhì晷guǐ二èr丈zhàng九jiǔ尺chǐ二èr寸cùn六liù分fēn,定dìng春chūn秋qiū分fēn晷guǐ五wǔ尺chǐ八bā寸cùn七qī分fēn。其qí没méi地dì才cái十shí五wǔ余yú度dù,夕xī没méi亥hài西xī,晨chén出chū丑chǒu东dōng,校xiào其qí里lǐ数shù,已yǐ在zài回huí纥hé之zhī北běi,又yòu南nán距jù洛luò阳yáng九jiǔ千qiān八bā百bǎi一yī十shí五wǔ里lǐ,则zé极jí长zhǎng之zhī昼zhòu,其qí夕xī常cháng明míng。然rán则zé骨gǔ利lì干gàn犹yóu在zài其qí南nán矣yǐ。

吴wú中zhōng常cháng侍shì王wáng蕃fān考kǎo先xiān儒rú所suǒ传chuán,以yǐ戴dài日rì下xià万wàn五wǔ千qiān里lǐ为wèi句jù股gǔ,斜xié射shè阳yáng城chéng,考kǎo周zhōu径jìng之zhī率lǜ以yǐ揆kuí天tiān度dù,当dāng千qiān四sì百bǎi六liù里lǐ二èr十shí四sì步bù有yǒu余yú。今jīn测cè日rì晷guǐ,距jù阳yáng城chéng五wǔ千qiān里lǐ,已yǐ在zài戴dài日rì之zhī南nán,则zé一yí度dù之zhī广guǎng皆jiē三sān分fēn减jiǎn二èr,南nán北běi极jí相xiāng去qù八bā万wàn里lǐ,其qí径jìng五wǔ万wàn里lǐ。宇yǔ宙zhòu之zhī广guǎng,岂qǐ若ruò是shì乎hū?然rán则zé蕃fān之zhī术shù,以yǐ蠡lí测cè海hǎi者zhě也yě。

古gǔ人rén所suǒ以yǐ恃shì句jù股gǔ术shù,谓wèi其qí有yǒu证zhèng于yú近jìn事shì。顾gù未wèi知zhī目mù视shì不bù能néng及jí远yuǎn,远yuǎn则zé微wēi差chà,其qí差chà不bù已yǐ,遂suì与yǔ术shù错cuò。譬pì游yóu于yú太tài湖hú,广guǎng袤mào不bù盈yíng百bǎi里lǐ,见jiàn日rì月yuè朝zhāo夕xī出chū入rù湖hú中zhōng;及jí其qí浮fú于yú巨jù海hǎi,不bù知zhī几jǐ千qiān万wàn里lǐ,犹yóu见jiàn日rì月yuè朝zhāo夕xī出chū入rù其qí中zhōng矣yǐ。若ruò于yú朝zhāo夕xī之zhī际jì,俱jù设shè重zhòng差chà而ér望wàng之zhī,必bì将jiāng大dà小xiǎo之zhī同tóng术shù,无wú以yǐ分fēn矣yǐ。横héng既jì有yǒu之zhī,纵zòng亦yì宜yí然rán。

又yòu若ruò树shù两liǎng表biǎo,南nán北běi相xiāng距jù十shí里lǐ,其qí崇chóng皆jiē数shù十shí里lǐ,置zhì大dà炬jù于yú南nán表biǎo之zhī端duān,而ér植zhí八bā尺chǐ之zhī木mù于yú其qí下xià,则zé当dāng无wú影yǐng。试shì从cóng南nán表biǎo之zhī下xià,仰yǎng望wàng北běi表biǎo之zhī端duān,必bì将jiāng积jī微wēi分fēn之zhī差chà,渐jiàn与yǔ南nán表biǎo参cān合hé。表biǎo首shǒu参cān合hé,则zé置zhì炬jù于yú其qí上shàng,亦yì当dāng无wú影yǐng矣yǐ。又yòu置zhì大dà炬jù于yú北běi表biǎo之zhī端duān,而ér植zhí八bā尺chǐ之zhī木mù于yú其qí下xià,则zé当dāng无wú影yǐng。试shì从cóng北běi表biǎo之zhī下xià,仰yǎng望wàng南nán表biǎo之zhī端duān,又yòu将jiāng积jī微wēi分fēn之zhī差chà,渐jiàn与yǔ北běi表biǎo参cān合hé。表biǎo首shǒu参cān合hé,则zé置zhì炬jù于yú其qí上shàng,亦yì当dāng无wú影yǐng矣yǐ。复fù于yú二èr表biǎo间jiān更gèng植zhí八bā尺chǐ之zhī木mù,仰yǎng而ér望wàng之zhī,则zé表biǎo首shǒu环huán屈qū相xiāng合hé。若ruò置zhì火huǒ炬jù于yú两liǎng表biǎo之zhī端duān,皆jiē当dāng无wú影yǐng矣yǐ。夫fū数shù十shí里lǐ之zhī高gāo与yǔ十shí里lǐ之zhī广guǎng,然rán犹yóu斜xié射shè之zhī影yǐng与yǔ仰yǎng望wàng不bù殊shū。今jīn欲yù凭píng晷guǐ差chà以yǐ指zhǐ远yuǎn近jìn高gāo下xià,尚shàng不bù可kě知zhī,而ér况kuàng稽jī周zhōu天tiān里lǐ步bù于yú不bù测cè之zhī中zhōng,又yòu可kě必bì乎hū?十shí三sān年nián,南nán至zhì,岱dài宗zōng礼lǐ毕bì,自zì上shàng传chuán呼hū万wàn岁suì,声shēng闻wén于yú下xià。时shí山shān下xià夜yè漏lòu未wèi尽jǐn,自zì日rì观guān东dōng望wàng,日rì已yǐ渐jiàn高gāo。据jù历lì法fǎ,晨chén初chū迨dài日rì出chū差chāi二èr刻kè半bàn,然rán则zé山shān上shàng所suǒ差chà凡fán三sān刻kè余yú。其qí冬dōng至zhì夜yè刻kè同tóng立lì春chūn之zhī后hòu,春chūn分fēn夜yè刻kè同tóng立lì夏xià之zhī后hòu。自zì岳yuè趾zhǐ升shēng泰tài坛tán仅jǐn二èr十shí里lǐ,而ér昼zhòu夜yè之zhī差chà一yī节jié。设shè使shǐ因yīn二èr十shí里lǐ之zhī崇chóng以yǐ立lì句jù股gǔ术shù,固gù不bù知zhī其qí所suǒ以yǐ然rán,况kuàng八bā尺chǐ之zhī表biǎo乎hū!

原yuán古gǔ人rén所suǒ以yǐ步bù圭guī影yǐng之zhī意yì,将jiāng以yǐ节jié宣xuān和hé气qì,转zhuǎn相xiāng物wù宜yí,不bù在zài于yú辰chén次cì之zhī周zhōu径jìng。其qí所suǒ以yǐ重zhòng历lì数shù之zhī意yì,将jiāng欲yù恭gōng授shòu人rén时shí,钦qīn若ruò乾qián象xiàng,不bù在zài于yú浑hún、盖gài之zhī是shì非fēi。若ruò乃nǎi述shù无wú稽jī之zhī法fǎ于yú视shì听tīng之zhī所suǒ不bù及jí,则zé君jūn子zǐ当dāng阙quē疑yí而ér不bù议yì也yě。而ér或huò者zhě各gè守shǒu所suǒ传chuán之zhī器qì以yǐ术shù天tiān体tǐ,谓wèi浑hún元yuán可kě任rèn数shù而ér测cè,大dà象xiàng可kě运yùn算suàn而ér窥kuī。终zhōng以yǐ六liù家jiā之zhī说shuō,迭dié为wèi矛máo盾dùn,诚chéng以yǐ为wéi盖gài天tiān邪xié?则zé南nán方fāng之zhī度dù渐jiàn狭xiá;果guǒ以yǐ为wéi浑hún天tiān邪xié?则zé北běi方fāng之zhī极jí浸jìn高gāo。此cǐ二èr者zhě,又yòu浑hún、盖gài之zhī家jiā尽jǐn智zhì毕bì议yì,未wèi能néng有yǒu以yǐ通tōng其qí说shuō也yě。则zé王wáng仲zhòng任rèn、葛gé稚zhì川chuān之zhī徒tú,区qū区qū于yú异yì同tóng之zhī辨biàn,何hé益yì人rén伦lún之zhī化huà哉zāi。凡fán晷guǐ差chà,冬dōng夏xià不bù同tóng,南nán北běi亦yì异yì,先xiān儒rú一yī以yǐ里lǐ数shù齐qí之zhī,遂suì失shī其qí实shí。今jīn更gèng为wéi《覆fù矩jǔ图tú》,南nán自zì丹dān穴xué,北běi暨jì幽yōu都dōu,每měi极jí移yí一yí度dù,辄zhé累lèi其qí差chà,可kě以yǐ稽jī日rì食shí之zhī多duō少shǎo,定dìng昼zhòu夜yè之zhī长cháng短duǎn,而ér天tiān下xià之zhī晷guǐ,皆jiē协xié其qí数shù矣yǐ。

昭zhāo宗zōng时shí,太tài子zi少shǎo詹zhān事shì边biān冈gāng,脩xiū历lì术shù,服fú其qí精jīng粹cuì,以yǐ为wéi不bù刊kān之zhī数shù也yě。

初chū,贞zhēn观guàn中zhōng,淳chún风fēng撰zhuàn《法fǎ象xiàng志zhì》,因yīn《汉hàn书shū》十shí二èr次cì度dù数shù,始shǐ以yǐ唐táng之zhī州zhōu县xiàn配pèi焉yān。而ér一yī行xíng以yǐ为wéi天tiān下xià山shān河hé之zhī象xiàng存cún乎hū两liǎng戒jiè。北běi戒jiè自zì三sān危wēi、积jī石shí,负fù终zhōng南nán地dì络luò之zhī阴yīn,东dōng及jí太tài华huá,逾yú河hé,并bìng雷léi首shǒu、厎dǐ柱zhù、王wáng屋wū、太tài行xíng,北běi抵dǐ常cháng山shān之zhī右yòu,乃nǎi东dōng循xún塞sāi坦tǎn,至zhì濊huì貊mò、朝cháo鲜xiān,是shì谓wèi北běi纪jì,所suǒ以yǐ限xiàn戎róng狄dí也yě;南nán戒jiè自zì岷mín山shān、嶓bō冢zhǒng,负fù地dì络luò之zhī阳yáng,东dōng及jí太tài华huá,连lián益yì山shān、熊xióng耳ěr、外wài方fāng、桐tóng柏bǎi,自zì上shàng洛luò南nán逾yú江jiāng、汉hàn,携xié武wǔ当dāng、荆jīng山shān,至zhì于yú衡héng阳yáng,乃nǎi东dōng循xún岭lǐng徼jiǎo,达dá东dōng瓯ōu、闽mǐn中zhōng,是shì谓wèi南nán纪jì,所suǒ以yǐ限xiàn蛮mán夷yí也yě。故gù《星xīng传chuán》谓wèi北běi戒jiè为wèi“胡hú门mén”,南nán戒jiè为wèi“越yuè门mén”。

河hé源yuán自zì北běi纪jì之zhī首shǒu,循xún雍yōng州zhōu北běi徼jiǎo,达dá华huá阴yīn,而ér与yǔ地dì络luò相xiāng会huì,并bìng行xíng而ér东dōng,至zhì太tài行xíng之zhī曲qū,分fēn而ér东dōng流liú,与yǔ泾jīng、谓wèi、济jì渎dú相xiāng为wèi表biǎo里lǐ,谓wèi之zhī“北běi河hé”。江jiāng源yuán自zì南nán纪jì之zhī首shǒu,循xún梁liáng州zhōu南nán徼jiǎo,达dá华huá阳yáng,而ér与yǔ地dì络luò相xiāng会huì,并bìng行xíng而ér东dōng,及jí荆jīng山shān之zhī阳yáng,分fēn而ér东dōng流liú,与yǔ汉hàn水shuǐ、淮huái渎dú相xiāng为wèi表biǎo里lǐ,谓wèi之zhī“南nán河hé”。故gù于yú天tiān象xiàng,则zé弘hóng农nóng分fēn陕shǎn为wèi两liǎng河hé之zhī会huì,五wǔ服fú诸zhū侯hóu在zài焉yān。自zì陕shǎn而ér西xī为wèi秦qín、凉liáng,北běi纪jì山shān河hé之zhī曲qū为wèi晋jìn、代dài,南nán纪jì山shān河hé之zhī曲qū为wèi巴bā、蜀shǔ,皆jiē负fù险xiǎn用yòng武wǔ之zhī国guó也yě。自zì陕shǎn而ér东dōng,三sān川chuān、中zhōng岳yuè为wèi成chéng周zhōu;西xī距jù外wài方fāng、大dà伾pī,北běi至zhì于yú济jì,南nán至zhì于yú淮huái,东dōng达dá钜jù野yě,为wèi宋sòng、郑zhèng、陈chén、蔡cài;河hé内nèi及jí济jì水shuǐ之zhī阳yáng为wèi鄁bèi、卫wèi;汉hàn东dōng滨bīn淮huái水shuǐ之zhī阴yīn为wèi申shēn、随suí。皆jiē四sì战zhàn用yòng文wén之zhī国guó也yě。北běi纪jì之zhī东dōng,至zhì北běi河hé之zhī北běi,为wèi邢xíng、赵zhào。南nán纪jì之zhī东dōng,至zhì南nán河hé之zhī南nán,为wèi荆jīng、楚chǔ。自zì北běi河hé下xià流liú,南nán距jù岱dài山shān为wèi三sān齐qí,夹jiā右yòu碣jié石shí为wèi北běi燕yàn。自zì南nán河hé下xià流liú,北běi距jù岱dài山shān为wèi邹zōu、鲁lǔ,南nán涉shè江jiāng、淮huái为wèi吴wú、越yuè。皆jiē负fù海hǎi之zhī国guó,贷dài殖zhí之zhī所suǒ阜fù也yě。自zì河hé源yuán循xún塞sāi垣yuán北běi,东dōng及jí海hǎi,为wèi戎róng狄dí。自zì江jiāng源yuán循xún岭lǐng徼jiǎo南nán,东dōng及jí海hǎi,为wèi蛮mán越yuè。观guān两liǎng河hé之zhī象xiàng。与yǔ云yún汉hàn之zhī所suǒ始shǐ终zhōng,而ér分fēn野yě可kě知zhī矣yǐ。

于yú《易yì》,五wǔ月yuè一yī阴yīn生shēng,而ér云yún汉hàn潜qián萌méng于yú天tiān稷jì之zhī下xià,进jìn及jí井jǐng、钺yuè间jiān,得dé坤kūn维wéi之zhī气qì,阴yīn始shǐ达dá于yú地dì上shàng,而ér云yún汉hàn上shàng升shēng,始shǐ交jiāo于yú列liè宿sù,七qī纬wěi之zhī气qì通tōng矣yǐ。东dōng井jǐng据jù百bǎi川chuān上shàng流liú,故gù鹑chún首shǒu为wèi秦qín、蜀shǔ墟xū,得dé两liǎng戒jiè山shān河hé之zhī首shǒu。云yún汉hàn达dá坤kūn维wéi右yòu而ér渐jiàn升shēng,始shǐ居jū列liè宿sù上shàng,觜zī觿xī、参cān、伐fá皆jiē直zhí天tiān关guān表biǎo而ér在zài河hé阴yīn,故gù实shí沈shěn下xià流liú得dé大dà梁liáng,距jù河hé稍shāo远yuǎn,涉shè阴yīn亦yì深shēn。故gù其qí分fēn野yě,自zì漳zhāng滨bīn却què负fù恒héng山shān,居jū北běi纪jì众zhòng山shān之zhī东dōng南nán,外wài接jiē髦máo头tóu地dì,皆jiē河hé外wài阴yīn国guó也yě。十shí月yuè阴yīn气qì进jìn逾yú乾qián维wéi,始shǐ上shàng达dá于yú天tiān,云yún汉hàn至zhì营yíng室shì、东dōng壁bì间jiān,升shēng气qì悉xī究jiū,与yǔ内nèi规guī相xiāng接jiē。故gù自zì南nán正zhèng达dá于yú西xī正zhèng,得dé云yún汉hàn升shēng气qì,为wèi山shān河hé上shàng流liú;自zì北běi正zhèng达dá于yú东dōng正zhèng,得dé云yún汉hàn降jiàng气qì,为wèi山shān河hé下xià流liú。陬zōu訾zī在zài云yún汉hàn升shēng降jiàng中zhōng,居jū水shuǐ行xíng正zhèng位wèi,故gù其qí分fēn野yě当dāng中zhōng州zhōu河hé、济jì间jiān。且qiě王wáng良liáng、阁gé道dào由yóu紫zǐ垣yuán绝jué汉hàn抵dǐ营yíng室shì,上shàng帝dì离lí宫gōng也yě,内nèi接jiē成chéng周zhōu、河hé内nèi,皆jiē豕shǐ韦wéi分fēn。十shí一yī月yuè一yī阳yáng生shēng,而ér云yún汉hàn渐jiàn降jiàng,退tuì及jí艮gěn维wéi,始shǐ下xià接jiē于yú地dì,至zhì斗dòu、建jiàn间jiān,复fù与yǔ列liè舍shě气qì通tōng,于yú《易yì》,天tiān地dì始shǐ交jiāo,泰tài象xiàng也yě。逾yú析xī木mù津jīn,阴yīn气qì益yì降jiàng,进jìn及jí大dà辰chén,升shēng阳yáng之zhī气qì究jiū,而ér云yún汉hàn沈shěn潜qián于yú东dōng正zhèng之zhī中zhōng,故gù《易yì》,雷léi出chū地dì曰yuē豫yù,龙lóng出chū泉quán为wèi解jiě,皆jiē房fáng、心xīn象xiàng也yě。星xīng纪jì得dé云yún汉hàn下xià流liú,百bǎi川chuān归guī焉yān,析xī木mù为wèi云yún汉hàn末mò派pài,山shān河hé极jí焉yān。故gù其qí分fēn野yě,自zì南nán河hé下xià流liú,穷qióng南nán纪jì之zhī曲qū,东dōng南nán负fù海hǎi,为wèi星xīng纪jì;自zì北běi河hé末mò派pài,穷qióng北běi纪jì之zhī曲qū,东dōng北běi负fù海hǎi,为wèi析xī木mù。负fù海hǎi者zhě,以yǐ其qí云yún汉hàn之zhī阴yīn也yě。唯wéi陬zōu訾zī内nèi接jiē紫zǐ宫gōng,在zài王wáng畿jī河hé、济jì间jiān。降jiàng娄lóu、玄xuán枵xiāo与yǔ山shān河hé首shǒu尾wěi相xiāng远yuǎn,邻lín颛zhuān顼xū之zhī墟xū,故gù为wèi中zhōng州zhōu负fù海hǎi之zhī国guó也yě。其qí地dì当dāng南nán河hé之zhī北běi、北běi河hé之zhī南nán,界jiè以yǐ岱dài宗zōng,至zhì于yú东dōng海hǎi。自zì鹑chún首shǒu逾yú河hé,戒jiè东dōng曰yuē鹑chún火huǒ,得dé重zhòng离lí正zhèng位wèi,轩xuān辕yuán之zhī祇qí在zài焉yān。其qí分fēn野yě,自zì河hé、华huá之zhī交jiāo,东dōng接jiē祝zhù融róng之zhī墟xū,北běi负fù河hé,南nán及jí汉hàn,盖gài寒hán燠yù之zhī所suǒ均jūn也yě。自zì析xī木mù纪jì天tiān汉hàn而ér南nán,曰yuē大dà火huǒ,得dé明míng堂táng升shēng气qì,天tiān市shì之zhī都dōu在zài焉yān。其qí分fēn野yě,自zì钜jù野yě岱dài宗zōng,西xī至zhì陈chén留liú,北běi负fù河hé、济jì,南nán及jí淮huái,皆jiē和hé气qì之zhī所suǒ布bù也yě。阳yáng气qì自zì明míng堂táng渐jiàn升shēng,达dá于yú龙lóng角jiǎo,曰yuē寿shòu星xīng。龙lóng角jiǎo谓wèi之zhī天tiān关guān,于yú《易yì》,气qì以yǐ阳yáng决jué阴yīn,夬guài象xiàng也yě。升shēng阳yáng进jìn逾yú天tiān关guān。得dé纯chún乾qián之zhī位wèi,故gù鹑chún尾wěi直zhí建jiàn巳sì之zhī月yuè,内nèi列liè太tài微wēi,为wèi天tiān廷tíng。其qí分fēn野yě,自zì南nán河hé以yǐ负fù海hǎi,亦yì纯chún阳yáng地dì也yě。寿shòu星xīng在zài天tiān关guān内nèi,故gù其qí分fēn野yě,在zài益yì、亳bó西xī南nán,淮huái水shuǐ之zhī阴yīn,北běi连lián太tài室shì之zhī东dōng,自zì阳yáng城chéng际jì之zhī,亦yì巽xùn维wéi地dì也yě。

夫fū云yún汉hàn自zì坤kūn抵dǐ艮gěn为wèi地dì纪jì,北běi斗dǒu自zì乾qián携xié巽xùn为wèi天tiān纲gāng,其qí分fēn野yě与yǔ帝dì车chē相xiāng直zhí,皆jiē五wǔ帝dì墟xū也yě。究jiū咸xián池chí之zhī政zhèng而ér在zài乾qián维wéi内nèi者zhě,降jiàng娄lóu也yě,故gù为wèi少shǎo昊hào之zhī墟xū。叶yè北běi宫gōng之zhī政zhèng而ér在zài干gàn维wéi外wài者zhě,陬zōu訾zī也yě,故gù为wèi颛zhuān顼xū之zhī墟xū。成chéng摄shè提tí之zhī政zhèng而ér在zài巽xùn维wéi内nèi者zhě,寿shòu星xīng也yě,故gù为wèi太tài昊hào之zhī墟xū。布bù太tài微wēi之zhī政zhèng,而ér在zài巽xùn维wéi外wài者zhě,鹑chún尾wěi也yě,故gù为wèi列liè山shān氏shì之zhī墟xū。得dé四sì海hǎi中zhōng承chéng太tài阶jiē之zhī政zhèng者zhě,轩xuān辕yuán也yě,故gù为wèi有yǒu熊xióng氏shì之zhī墟xū。木mù、金jīn得dé天tiān地dì之zhī微wēi气qì,其qí神shén治zhì于yú季jì月yuè;水shuǐ、火huǒ得dé天tiān地dì之zhī章zhāng气qì,其qí神shén治zhì于yú孟mèng月yuè。故gù章zhāng道dào存cún乎hū至zhì,微wēi道dào存cún乎hū终zhōng,皆jiē阴yīn阳yáng变biàn化huà之zhī际jì也yě。若ruò微wēi者zhě沈shěn潜qián而ér不bù及jí,章zhāng者zhě高gāo明míng而ér过guò亢kàng,皆jiē非fēi上shàng帝dì之zhī居jū也yě。

斗dòu杓biāo谓wèi之zhī外wài廷tíng,阳yáng精jīng之zhī所suǒ布bù也yě。斗dòu魁kuí谓wèi之zhī会huì府fǔ,阳yáng精jīng之zhī所suǒ复fù也yě。杓biāo以yǐ治zhì外wài,故gù鹑chún尾wěi为wèi南nán方fāng负fù海hǎi之zhī国guó。魁kuí以yǐ治zhì内nèi,故gù陬zōu訾zī为wèi中zhōng州zhōu四sì战zhàn之zhī国guó。其qí余yú列liè舍shě,在zài云yún汉hàn之zhī阴yīn者zhě八bā,为wèi负fù海hǎi之zhī国guó。在zài云yún汉hàn之zhī阳yáng者zhě四sì,为wèi四sì战zhàn之zhī国guó。降jiàng娄lóu、玄xuán枵xiāo以yǐ负fù东dōng海hǎi,春chūn神shén主zhǔ于yú岱dài宗zōng,岁suì星xīng位wèi焉yān。星xīng纪jì、鹑chún尾wěi以yǐ负fù南nán海hǎi,其qí神shén主zhǔ于yú衡héng山shān,荧yíng惑huò位wèi焉yān。鹑chún首shǒu、实shí沈shěn以yǐ负fù西xī海hǎi,其qí神shén主zhǔ于yú华huà山shān,太tài白bái位wèi焉yān。大dà梁liáng、析xī木mù以yǐ负fù北běi海hǎi,其qí神shén主zhǔ于yú恒héng山shān,辰chén星xīng位wèi焉yān。鹑chún火huǒ、大dà火huǒ、寿shòu星xīng、豕shǐ韦wéi为wèi中zhōng州zhōu,其qí神shén主zhǔ于yú嵩sōng丘qiū,镇zhèn星xīng位wèi焉yān。

近jìn代dài诸zhū儒rú言yán星xīng土tǔ者zhě,或huò以yǐ州zhōu,或huò以yǐ国guó。虞yú、夏xià、秦qín、汉hàn,郡jùn国guó废fèi置zhì不bù同tóng。周zhōu之zhī兴xīng也yě,王wáng畿jī千qiān里lǐ,及jí其qí衰shuāi也yě,仅jǐn得dé河hé南nán七qī县xiàn。今jīn又yòu天tiān下xià一yī统tǒng,而ér直zhí以yǐ鹑chún火huǒ为wèi周zhōu分fēn,则zé疆jiāng场chǎng舛chuǎn矣yǐ。七qī国guó之zhī初chū,天tiān下xià地dì形xíng雌cí韩hán而ér雄xióng魏wèi,魏wèi地dì西xī距jù高gāo陵líng,尽jǐn河hé东dōng、河hé内nèi,北běi固gù漳zhāng、鄴yè,东dōng分fēn梁liáng、宋sòng,至zhì于yú汝rǔ南nán,韩hán据jù全quán郑zhèng之zhī地dì,南nán尽jǐn颍yǐng川chuān、南nán阳yáng、西xī达dá虢guó略lüè,距jù函hán谷gǔ,固gù宜yí阳yáng,北běi连lián上shàng地dì,皆jiē绵mián亘gèn数shù州zhōu,相xiāng错cuò如rú绣xiù。考kǎo云yún汉hàn山shān河hé之zhī象xiàng,多duō者zhě或huò至zhì十shí余yú宿sù。其qí后hòu魏wèi徙xǐ大dà梁liáng,则zé西xī河hé合hé于yú东dōng井jǐng;秦qín拔bá宜yí阳yáng,而ér上shàng党dǎng入rù于yú舆yú鬼guǐ。方fāng战zhàn国guó未wèi灭miè时shí,星xīng家jiā之zhī言yán,屡lǚ有yǒu明míng效xiào。今jīn则zé同tóng在zài畿jī甸diān之zhī中zhōng矣yǐ。而ér或huò者zhě犹yóu据jù《汉hàn书shū地dì理lǐ志zhì》推tuī之zhī,是shì守shǒu甘gān、石shí遗yí术shù,而ér不bù知zhī变biàn通tōng之zhī数shù也yě。

又yòu古gǔ之zhī辰chén次cì与yǔ节jié气qì相xiāng系xì,各gè据jù当dāng时shí历lì数shù,与yǔ岁suì差chà迁qiān徙xǐ不bù同tóng。今jīn更gèng以yǐ七qī宿sù之zhī中zhōng分fēn四sì象xiàng中zhōng位wèi,自zì上shàng元yuán之zhī首shǒu,以yǐ度dù数shù纪jì之zhī,而ér著zhù其qí分fēn野yě,其qí州zhōu县xiàn虽suī改gǎi隶lì不bù同tóng,但dàn据jù山shān河hé以yǐ分fēn尔ěr。

须xū女nǚ、虚xū、危wēi,玄xuán枵xiāo也yě。初chū,须xū女nǚ五wǔ度dù,余yú二èr千qiān三sān百bǎi七qī十shí四sì,秒miǎo四sì少shǎo。中zhōng,虚xū九jiǔ度dù。终zhōng,危wēi十shí二èr度dù。其qí分fēn野yě,自zì济jì北běi东dōng逾yú济jì水shuǐ,涉shè平píng阴yīn,至zhì于yú山shān庄zhuāng,循xún岱dài岳yuè众zhòng山shān之zhī阴yīn,东dōng南nán及jí高gāo密mì,又yòu东dōng尽jǐn莱lái夷yí之zhī地dì,得dé汉hàn北běi海hǎi、千qiān乘chéng、淄zī川chuān,济jǐ南nán、济jì郡jùn及jí平píng原yuán、渤bó海hǎi、九jiǔ河hé故gù道dào之zhī南nán,滨bīn于yú碣jié石shí。古gǔ齐qí、纪jì、祝zhù、淳chún于yú、莱lái、谭tán、寒hán及jí斟zhēn寻xún、有yǒu过guò、有yǒu鬲gé、蒲pú姑gū氏shì之zhī国guó,其qí地dì得dé陬zōu訾zī之zhī下xià流liú,自zì济jì东dōng达dá于yú河hé外wài,故gù其qí象xiàng著zhù为wèi天tiān津jīn,绝jué云yún汉hàn之zhī阳yáng。凡fán司sī人rén之zhī星xīng与yǔ群qún臣chén之zhī录lù,皆jiē主zhǔ虚xū、危wēi,故gù岱dài宗zōng为wèi十shí二èr诸zhū侯hóu受shòu命mìng府fǔ。又yòu下xià流liú得dé婺wù女nǚ,当dāng九jiǔ河hé末mò派pài,比bǐ于yú星xīng纪jì,与yǔ吴wú、越yuè同tóng占zhàn。

营yíng室shì、东dōng壁bì,陬zōu訾zī也yě。初chū,危wēi十shí三sān度dù,余yú二èr千qiān九jiǔ百bǎi二èr十shí六liù,秒miǎo一yī太tài。中zhōng,营yíng室shì十shí二èr度dù。终zhōng,奎kuí一yí度dù。自zì王wáng屋wū、太tài行xíng而ér东dōng,得dé汉hàn河hé内nèi,至zhì北běi纪jì之zhī东dōng隅yú,北běi负fù漳zhāng、鄴yè,东dōng及jí馆guǎn陶táo、聊liáo城chéng。又yòu自zì河hé、济jì之zhī交jiāo,涉shè荥xíng波bō,滨bīn济jì水shuǐ而ér东dōng,得dé东dōng郡jùn之zhī地dì,古gǔ邶bèi、庸yōng阝fù、卫wèi、凡fán、胙zuò、邗hán、雍yōng、共gòng、微wēi、观guān、南nán燕yàn、昆kūn吾wú、豕shǐ韦wéi之zhī国guó。自zì阁gé道dào、王wáng良liáng至zhì东dōng壁bì,在zài豕shǐ韦wéi,为wèi上shàng流liú。当dāng河hé内nèi及jí漳zhāng、鄴yè之zhī南nán,得dé山shān河hé之zhī会huì,为wèi离lí宫gōng。又yòu循xún河hé、济jì而ér东dōng接jiē玄xuán枵xiāo为wèi营yíng室shì之zhī分fēn。

奎kuí、数shù,降jiàng娄lóu也yě。初chū,奎kuí二èr度dù,余yú千qiān二èr百bǎi一yī十shí七qī,秒miǎo十shí七qī少shǎo。中zhōng,娄lóu一yí度dù。终zhōng,胃wèi三sān度dù。自zì蛇shé丘qiū、肥féi成chéng,南nán届jiè钜jù野yě,东dōng达dá梁liáng父fù,循xún岱dài岳yuè众zhòng山shān之zhī阳yáng,以yǐ负fù东dōng海hǎi。又yòu滨bīn泗sì水shuǐ,经jīng方fāng与yǔ、沛pèi、留liú、彭péng城chéng,东dōng至zhì于yú吕lǚ梁liáng,乃nǎi东dōng南nán抵dǐ淮huái,并bìng淮huái水shuǐ而ér东dōng,尽jǐn徐xú夷yí之zhī地dì,得dé汉hàn东dōng平píng、鲁lǔ国guó、琅láng邪xié、东dōng海hǎi、泗sì水shuǐ、城chéng阳yáng,古gǔ鲁lǔ、薛xuē、邾zhū、莒jǔ、小xiǎo邾zhū、徐xú、郯tán、鄫zēng、鄅yǔ、邳pī、邿shī、任rèn、宿sù、须xū句jù、颛zhuān臾yú、牟móu、遂suì、铸zhù夷yí、介jiè、根gēn牟móu及jí大dà庭tíng氏shì之zhī国guó。奎kuí为wèi大dà泽zé,在zài陬zōu訾zī下xià流liú,当dāng钜jù野yě之zhī东dōng阳yáng,至zhì于yú淮huái、泗sì。娄lóu、胃wèi之zhī墟xū,东dōng北běi负fù山shān,盖gài中zhōng国guó膏gāo腴yú地dì,百bǎi谷gǔ之zhī所suǒ阜fù也yě。胃wèi得dé马mǎ牧mù之zhī气qì,与yǔ冀jì之zhī北běi土tǔ同tóng占zhàn。

胃wèi、昴mǎo、毕bì,大dà梁liáng也yě。初chū,胃wèi四sì度dù,余yú二èr千qiān五wǔ百bǎi四sì十shí九jiǔ,秒miǎo八bā太tài。中zhōng,昴mǎo六liù度dù。终zhōng,毕bì九jiǔ度dù。自zì魏wèi郡jùn浊zhuó漳zhāng之zhī北běi,得dé汉hàn赵zhào国guó、广guǎng平píng、钜jù鹿lù、常cháng山shān,东dōng及jí清qīng河hé、信xìn都dōu,北běi据jù中zhōng山shān、真zhēn定dìng,全quán赵zhào之zhī分fēn。又yòu北běi逾yú众zhòng山shān,尽jǐn代dài郡jùn、雁yàn门mén、云yún中zhōng、定dìng襄xiāng之zhī地dì与yǔ北běi方fāng群qún狄dí之zhī国guó。北běi纪jì之zhī东dōng阳yáng,表biǎo里lǐ山shān河hé,以yǐ蕃fān屏píng中zhōng国guó,为wèi毕bì分fēn。循xún北běi河hé之zhī表biǎo,西xī尽jǐn塞sāi垣yuán,皆jiē髦máo头tóu故gù地dì,为wèi昴mǎo分fēn。冀jì之zhī北běi土tǔ,马mǎ牧mù之zhī所suǒ蕃fān庶shù,故gù天tiān苑yuàn之zhī象xiàng存cún焉yān。

觜zī觿xī、参cān、伐fá,实shí沈shěn也yě。初chū,毕bì十shí度dù,余yú八bā百bǎi四sì十shí一yī,秒miǎo四sì之zhī一yī。中zhōng,参cān七qī度dù。终zhōng,东dōng井jǐng十shí一yí度dù。自zì汉hàn之zhī河hé东dōng及jí上shàng党dǎng、太tài原yuán,尽jǐn西xī河hé之zhī地dì,古gǔ晋jìn、魏wèi、虞yú、唐táng、耿gěng、杨yáng、霍huò、冀jì、黎lí、郇huán与yǔ西xī河hé戎róng狄dí之zhī国guó。西xī河hé之zhī滨bīn,所suǒ以yǐ设shè险xiǎn限xiàn秦qín、晋jìn,故gù其qí地dì上shàng应yīng天tiān阙què。其qí南nán曲qū之zhī阴yīn,在zài晋jìn地dì,众zhòng山shān之zhī阳yáng;南nán曲qū之zhī阳yáng,在zài秦qín地dì,众zhòng山shān之zhī阴yīn。阴yīn阳yáng之zhī气qì并bìng,故gù与yǔ东dōng井jǐng通tōng。河hé东dōng永yǒng乐lè、芮ruì城chéng、河hé北běi县xiàn及jí河hé曲qū丰fēng、胜shèng、夏xià州zhōu,皆jiē东dōng井jǐng之zhī分fēn。参cān、伐fá为wèi戎róng索suǒ,为wèi武wǔ政zhèng,当dāng河hé东dōng,尽jǐn大dà夏xià之zhī墟xū。上shàng党dǎng次cì居jū下xià流liú,与yǔ赵zhào、魏wèi接jiē,为wèi觜zī觿xī之zhī分fēn。

东dōng井jǐng、舆yú鬼guǐ,鹑chún首shǒu也yě。初chū,东dōng井jǐng十shí二èr度dù,余yú二èr千qiān一yì百bǎi七qī十shí二èr,秒miǎo十shí五wǔ太tài。中zhōng,东dōng井jǐng二èr十shí七qī度dù。终zhōng,柳liǔ六liù度dù。自zì汉hàn三sān辅fǔ及jí北běi地dì、上shàng郡jùn、安ān定dìng,西xī自zì陇lǒng坻chí至zhì河hé右yòu,西xī南nán尽jǐn巴bā、蜀shǔ、汉hàn中zhōng之zhī地dì,及jí西xī南nán夷yí犍qián为wéi、越yuè隽juàn、益yì州zhōu郡jùn,极jí南nán河hé之zhī表biǎo,东dōng至zhì牂zāng柯kē,古gǔ秦qín、梁liáng、豳bīn、芮ruì、丰fēng、毕bì、骀dài杠gāng、有yǒu扈hù、密mì须xū、庸yōng、蜀shǔ、羌qiāng、髳máo之zhī国guó。东dōng井jǐng居jū两liǎng河hé之zhī阴yīn,自zì山shān河hé上shàng流liú,当dāng地dì络luò之zhī西xī北běi。舆yú鬼guǐ居jū两liǎng河hé之zhī阳yáng,自zì汉hàn中zhōng东dōng尽jǐn华huá阳yáng,与yǔ鹑chún火huǒ相xiāng接jiē,当dāng地dì络luò之zhī东dōng南nán。鹑chún首shǒu之zhī外wài,云yún汉hàn潜qián流liú而ér未wèi达dá,故gù狼láng星xīng在zài江jiāng、河hé上shàng源yuán之zhī西xī,弧hú矢shǐ、犬quǎn、鸡jī皆jiē徼jiǎo外wài之zhī备bèi也yě。西xī羌qiāng、吐tǔ蕃bō、吐tǔ谷yù浑hún及jí西xī南nán徼jiǎo外wài夷yí人rén,皆jiē占zhàn狼láng星xīng。

柳liǔ、七qī星xīng、张zhāng,鹑chún火huǒ也yě。初chū,柳liǔ七qī度dù,余yú四sì百bǎi六liù十shí四sì,秒miǎo七qī少shǎo。中zhōng,七qī星xīng七qī度dù。终zhōng,张zhāng十shí四sì度dù。北běi自zì荥xíng泽zé、荥xíng阳yáng,并bìng京jīng、索suǒ,暨jì山shān南nán,得dé新xīn郑zhèng、密mì县xiàn,至zhì外wài方fāng东dōng隅yú,斜xié至zhì方fāng城chéng,抵dǐ桐tóng柏bǎi,北běi自zì宛wǎn、叶yè,南nán暨jì汉hàn东dōng,尽jǐn汉hàn南nán阳yáng之zhī地dì。又yòu自zì雒luò邑yì负fù北běi河hé之zhī南nán,西xī及jí函hán谷gǔ,逾yú南nán纪jì,达dá武wǔ当dāng、汉hàn水shuǐ之zhī阴yīn,尽jǐn弘hóng农nóng郡jùn,以yǐ淮huái源yuán、桐tóng柏bǎi、东dōng阳yáng为wéi限xiàn,而ér申shēn州zhōu属shǔ寿shòu星xīng,古gǔ成chéng周zhōu、虢guó、郑zhèng、管guǎn、郐kuài、东dōng虢guó、密mì、滑huá、焦jiāo、唐táng、随suí、申shēn、邓dèng及jí祝zhù融róng氏shì之zhī都dōu。新xīn郑zhèng为wèi轩xuān辕yuán、祝zhù融róng之zhī墟xū,其qí东dōng鄙bǐ则zé入rù寿shòu星xīng。柳liǔ。在zài舆yú鬼guǐ东dōng,又yòu接jiē汉hàn源yuán,当dāng益yì、洛luò之zhī阳yáng,接jiē南nán河hé上shàng流liú。七qī星xīng系xì轩xuān辕yuán,得dé土tǔ行xíng正zhèng位wèi,中zhōng岳yuè象xiàng也yě,河hé南nán之zhī分fēn。张zhāng,直zhí南nán阳yáng,汉hàn东dōng,与yǔ鹑chún尾wěi同tóng占zhàn。

翼yì、轸zhěn,鹑chún尾wěi也yě。初chū,张zhāng十shí五wǔ度dù,余yú千qiān七qī百bǎi九jiǔ十shí五wǔ,秒miǎo二èr十shí二èr太tài。中zhōng,翼yì十shí二èr度dù。终zhōng,轸zhěn九jiǔ度dù。自zì房fáng陵líng、白bái帝dì而ér东dōng,尽jǐn汉hàn之zhī南nán郡jùn、江jiāng夏xià,东dōng达dá庐lú江jiāng南nán部bù,滨bīn彭péng蠡lí之zhī西xī,得dé长cháng沙shā、武wǔ陵líng,又yòu逾yú南nán纪jì,尽jǐn郁yù林lín、合hé浦pǔ之zhī地dì,自zì沅yuán、湘xiāng上shàng流liú,西xī达dá黔qián安ān之zhī左zuǒ,皆jiē全quán楚chǔ之zhī分fēn。自zì富fù、昭zhāo、象xiàng、龚gōng、绣xiù、容róng、白bái、廉lián州zhōu已yǐ西xī,亦yì鹑chún尾wěi之zhī墟xū。古gǔ荆jīng楚chǔ、郧yún、鄀ruò、罗luó、权quán、巴bā、夔kuí与yǔ南nán方fāng蛮mán貊mò之zhī国guó。翼yì与yǔ硃zhū张zhāng同tóng象xiàng,当dāng南nán河hé之zhī北běi,轸zhěn在zài天tiān关guān之zhī外wài,当dāng南nán河hé之zhī南nán,其qí中zhōng一yī星xīng主zhǔ长cháng沙shā,逾yú岭lǐng徼jiǎo而ér南nán,为wèi东dōng瓯ōu、青qīng丘qiū之zhī分fēn。安ān南nán诸zhū州zhōu在zài云yún汉hàn上shàng源yuán之zhī东dōng阳yáng,宜yí属shǔ鹑chún火huǒ。而ér柳liǔ、七qī星xīng、张zhāng皆jiē当dāng中zhōng州zhōu,不bù得dé连lián负fù海hǎi之zhī地dì,故gù丽lì于yú鹑chún尾wěi。

角jiǎo、亢kàng,寿shòu星xīng也yě。初chū,轸zhěn十shí度dù,余yú八bā十shí七qī,秒miǎo十shí四sì少shǎo。中zhōng,角jiǎo八bā度dù。终zhōng,氐dī一yí度dù。自zì原yuán武wǔ、管guǎn城chéng,滨bīn河hé、济jì之zhī南nán,东dōng至zhì封fēng丘qiū、陈chén留liú,尽jǐn陈chén、蔡cài、汝rǔ南nán之zhī地dì,逾yú淮huái源yuán,至zhì于yú弋yì阳yáng,西xī涉shè南nán阳yáng郡jùn至zhì于yú桐tóng柏bǎi,又yòu东dōng北běi抵dǐ嵩sōng之zhī东dōng阳yáng,中zhōng国guó地dì络luò在zài南nán北běi河hé之zhī间jiān,首shǒu自zì西xī倾qīng,极jí于yú陪péi尾wěi,故gù随suí、申shēn,光guāng皆jiē豫yù州zhōu之zhī分fēn,宜yí属shǔ鹑chún火huǒ,古gǔ陈chén、蔡cài、许xǔ、息xī、江jiāng、黄huáng、道dào、柏bǎi、沈shěn、赖lài、蓼liǎo、须xū顿dùn、胡hú、防fáng、弦xián、厉lì之zhī国guó。氐dī涉shè寿shòu星xīng,当dāng洛luò邑yì众zhòng山shān之zhī东dōng,与yǔ亳bó土tǔ相xiāng接jiē,次cì南nán直zhí颍yǐng水shuǐ之zhī间jiān,曰yuē太tài昊hào之zhī墟xū,为wèi亢kàng分fēn。又yòu南nán涉shè淮huái气qì连lián鹑chún尾wěi,在zài成chéng周zhōu之zhī东dōng阳yáng,为wèi角jiǎo分fēn。

氐dī、房fáng、心xīn,大dà火huǒ也yě。初chū,氐dī二èr度dù,余yú千qiān四sì百bǎi一yī十shí九jiǔ,秒miǎo五wǔ太tài。中zhōng,房fáng二èr度dù。终zhōng,尾wěi六liù度dù。自zì雍yōng丘qiū、襄xiāng邑yì、小xiǎo黄huáng而ér东dōng,循xún济jì阴yīn,界jiè于yú齐qí、鲁lǔ,右yòu泗sì水shuǐ,达dá于yú吕lǚ梁liáng,乃nǎi东dōng南nán接jiē太tài昊hào之zhī墟xū,尽jǐn汉hàn济jì阴yīn、山shān阳yáng、楚chǔ国guó、丰fēng、沛pèi之zhī地dì,古gǔ宋sòng、曹cáo、郕chéng、滕téng、茅máo、郜gào、萧xiāo、葛gé、向xiàng城chéng、逼bī阳yáng、申shēn父fù之zhī国guó。商shāng、亳bó负fù北běi河hé,阳yáng气qì之zhī所suǒ升shēng也yě,为wèi心xīn分fēn、丰fēng、沛pèi负fù南nán河hé,阳yáng气qì之zhī所suǒ布bù也yě,为wèi房fáng分fēn。其qí下xià流liú与yǔ尾wěi同tóng占zhàn,西xī接jiē陈chén、郑zhèng为wèi氐dī分fēn。

尾wěi、箕jī,析xī木mù津jīn也yě。初chū,尾wěi七qī度dù,余yú二èr千qiān七qī百bǎi五wǔ十shí,秒miǎo二èr十shí一yī少shǎo,中zhōng,箕jī五wǔ度dù,终zhōng,南nán斗dòu八bā度dù。自zì渤bó海hǎi、九jiǔ河hé之zhī北běi,得dé汉hàn河hé间jiān、涿zhuō郡jùn、广guǎng阳yáng及jí上shàng谷gǔ、渔yú阳yáng、右yòu北běi平píng、辽liáo西xī、辽liáo东dōng、乐lè浪làng、玄xuán菟tú,古gǔ北běi燕yàn、孤gū竹zhú、无wú终zhōng、九jiǔ夷yí之zhī国guó。尾wěi得dé云yún汉hàn之zhī末mò派pài,龟guī、鱼yú丽lì焉yān,当dāng九jiǔ河hé之zhī下xià流liú,滨bīn于yú渤bó碣jié,皆jiē北běi纪jì之zhī所suǒ穷qióng也yě。箕jī与yǔ南nán斗dòu相xiāng近jìn,为wèi辽liáo水shuǐ之zhī阳yáng,尽jǐn朝cháo鲜xiān三sān韩hán之zhī地dì,在zài吴wú、越yuè东dōng。

南nán斗dòu、牵qiān牛niú,星xīng纪jì也yě。初chū,南nán斗dòu九jiǔ度dù,余yú千qiān四sì十shí二èr,秒miǎo十shí二èr太tài。中zhōng,南nán斗dòu二èr十shí四sì度dù。终zhōng,女nǚ四sì度dù。自zì庐lú江jiāng、九jiǔ江jiāng,负fù淮huái水shuǐ,南nán尽jǐn临lín淮huái、广guǎng陵líng,至zhì于yú东dōng海hǎi,又yòu逾yú南nán河hé,得dé汉hàn丹dān杨yáng、会huì稽jī、豫yù章zhāng,西xī滨bīn彭péng蠡lí,南nán涉shè越yuè门mén,迄qì苍cāng梧wú、南nán海hǎi,逾yú岭lǐng表biǎo,自zì韶sháo、广guǎng以yǐ西xī,珠zhū崖yá以yǐ东dōng,为wèi星xīng纪jì之zhī分fēn也yě。古gǔ吴wú、越yuè、群qún舒shū、庐lú、桐tóng、六liù、蓼liǎo及jí东dōng南nán百bǎi越yuè之zhī国guó。南nán斗dòu在zài云yún汉hàn下xià流liú,当dāng淮huái、海hǎi间jiān,为wèi吴wú分fēn。牵qiān牛niú去qù南nán河hé浸jìn远yuǎn,自zì豫yù章zhāng迄qì会huì稽jī,南nán逾yú岭lǐng徼jiǎo,为wèi越yuè分fēn。岛dǎo夷yí蛮mán貊mò之zhī人rén,声shēng教jiào所suǒ不bù暨jì,皆jiē系xì于yú狗gǒu国guó云yún。

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