Clavius, Christoph
,
Gnomonices libri octo, in quibus non solum horologiorum solariu[m], sed aliarum quo[quam] rerum, quae ex gnomonis umbra cognosci possunt, descriptiones geometricè demonstrantur
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C D E, poſito, alter verticem B, attingat, ſi interuallum inter circini pedes interiectum rectæ
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I H, ſuerit æquale, vt ex demonſtratis perſpicuum relinquitur.</
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<
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">IAM verò, ſi quando vertex gnomonis inflectatur, & </
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xml:space
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in propriam ſe
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dem, @i quando
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ao
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ca deflexe
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@, reitituatut.</
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ſtituemus. </
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<
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logio ducta recta vtcunque A B, quę
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vel ſtylo ſit æqualis, vt in priore
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triangulo inferiore, vel maior, vt in
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poſteriore, ducemus per B, ad A B,
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perpendicularem C D, rectalq́; </
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<
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B D, rectę A B, æquales ponemus.
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Deinde ex A C, rectam A E, ſtylo
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auferemus æqualem, & </
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D E, æqualem abſcindomus D F.
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<
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lum D F, & </
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<
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inde moueatur, donec vno pede cir-
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cini in punctis C, & </
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ro verticem attingamus, reſtitutum
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eſſe gnomonis verticem, ita vt rur-
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ſum ſtylus ad horologii planum re-
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ctus ſit in puncto A. </
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enim in A, ſtylus A G, ad planum
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horologii rectus, coniunganturq́; </
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<
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ctæ D E, D G, G C. </
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<
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ra B A, B C, æqualia ſunt, erunt an-
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guli A, C, æquales. </
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</
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<
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">recto, erit angulus B A C, ſemirectus, cum omnes tres anguli trianguli A B C, duobus ſint
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rectis æquales. </
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<
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">Eadem ratione ſemirectus oſtendetur angulus B A D, ac proinde totus
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C A D, rectus erit, nec non rectę A C, A D, inter ſe erunt æquales, ob triangula A B C,
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A B D, in quibus duo latera B A, B C, duobus lateribus B A, B D, ſunt æqualia, angulosq́;
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comprehendunt æquales ad B, nempe rectos. </
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">Rurſus quia G A, perpendicularis eſt ad pla-
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num horologii, in quo triangulum A C D, exiſtit, erunt quoque per defin. </
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li G A C, G A D, recti. </
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D A, A G, trianguli D A G, ſunt æqualia, continentq́; </
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quoque baſes D E, D G, æquales inter ſe. </
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e-
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ctas D E, C G, propter triangula D A E, C A G, quorum duo latera D A, A E, duobus lateribus
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C A, A G, æqualia ſunt, continentq́ue æquales angulos D A E, C A G, nimirum rec@os. </
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<
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go recta D E, atque adeò recta D F, quæ ipſi D E, æqualis ſumpta eſt, æqualis ſit tam rectæ D G,
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quàm rectæ C G, quarum vtraque ex D, & </
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<
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">C, ad verticem ſtyli G, rectos angulos cum plano ho-
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rologii facientis ducitur, neceſſe eſt, vt vno pede circini collocato tam in D, quàm in C, altero ver
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ticem ſtyli G, attingamus, ſi ſpatium inter circini pedes incluſum rectæ D F, fuerit æquale, ipſeq́;
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<
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cuiuſque horologii proprio in loco collocauimus, &</
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">IN horologiis, quæ non declinant, vt in horizontali, verticali, polari, æquinostiali, & </
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horologiis ob-
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ſeruanda ſint
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in conſtructio-
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ne trianguli,
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quo ſtylus in
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proprium ſitũ
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@@ſtituatur.</
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Horizontem, recta A B, pręcedentis trianguli abſcindenda eſt ex linea meridiana, vt factum eſſe vides
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in horizontali horologio propoſ. </
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<
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<
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pti. </
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<
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">In aliis autem, quæ declinant, eadem recta A B, ſumenda est in linea ſtyli, vt factum eſſe cernis in
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horologio declinante a Verticali propoſ. </
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neceſſarium non eſt. </
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<
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<
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ctum construi. </
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<
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</
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<
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">triangulum huiuſmodi eſſe confectum, ita vt recta A B, baſim trianguli bifariam diuidens maior ſit,
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quàm ſtylus, & </
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<
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<
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deſcribi poteſt. </
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<
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horologio, & </
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<
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<
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dicti trianguli, cum lineas horologii interſecent, deleri poterunt, & </
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tè ſegmenta ipſorum laterum, quæ extra tropicos cadunt, deſcribi tantum poterunt: </
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<
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exemplum habes in horologio polari ſignorum aſcendentium propoſ. </
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placet, interuallum D F, transferri ex C, vſque ad H. </
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<
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