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Euclid: Elementa

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eng
lat Clavius
CONTRA vero perspicuum est, si triangulum fuerit acutangulum, cadere intra triangulum: si rectangulum, in latus recto angulo oppositum: si denique obtusangulum fuerit, extra triangulum. Quod quidem facile ostendetur, ducendo ad incommodum aliquod, sive absurdum. Quiasi in acutangulo caderet centrum in vnum latus, esset angulus ei oppofitus rectus: si vero extra, esset idem angulus obtusus. Item si in rectangulo centrum caderet intra, essent omnes anguli acuti, si vero extra, esset angulus oppositus obtusus. Denique si in triangulo obtusangulo caderet in vnum latus, esset angulus ei oppositus, rectus, si vero intra, omnes anguli essent acuti. Quae omnia ex priori parte huius corollarium colliguntur, et pugnant cum hypothesi.
kin 幾何原本
二系。若三角形為銳角形。卽圜心必在形內。若直角形。必在一邊之上。若鈍角形。必在形外。
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