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Euclid: Elementa

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Euclid: Elementa
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3. Circles are said to touch one another which, meeting one another, do not cut one another.
lat Clavius p. 96
III. CIRCVLI sese mutuo tangere dicuntur, qui sese mutuo tangentes, sese mutuo non secant.
EODEM modo duo circuli AC, BC, mutuo dicuntur tangere in C, quia ita sese contingant in C, ut neuter alterum secet. Est autem hic contactus circulorum duplex. Aut enim exterius sese circuli tangunt, ut quando unus extra alterum est positus; aut interius; quando unus intra alterum constituitur. Quod si duo circuli ita se mutuo tangant, ut unus alterum quoque secet, dicentur circuli illi se mutuo secare, et non tangere.
Pic3416
kin 幾何原本 卷三首一，二
第三界
凡兩圜相切、而不相交。為切圜。
甲、乙、兩圜。不相交、而相切於丙。或切於外。如第一圖。或切於內。如第三圖。其第二、第四圖、則交圜也。
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