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Euclid: Elementa

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Euclid: Elementa
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2. A straight line is said to touch a circle which, meeting the circle and being produced, does not cut the circle.
lat Clavius p. 96
II. RECTA linea circulum tangere dicitur, quae cum circulum tangat, si producatur, circulum non secat.
UT recta AB, si ita circulum BFD, tangat in B, ut producta ad C, nulla ratione circulum secet, sed tota iaceat extra ipsum, dicetur tangere circulum. At vero recta EF, quia ita eundem circulum tangit in F, ut producta ad G, secet circulum, cadatque intra ipsum; non dicetur circulum tangere, sed secare.
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kin 幾何原本 卷三首，一
第二界
凡直線、切圜界過之而不與界交。為切線。
甲乙線、切乙己丁圜之界。乙又引長之至丙、而不與界交。其甲丙線、全在圜外。為切線。若戊己線、先切圜界。而引之至庚。入圜內。則交線也。
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