Euclidis Elementorum libri XV breviter demonstrati, opera Is. Barrow / [Euclid].

  • Euclid.
Date:
1659
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Licence: Public Domain Mark

Credit: Euclidis Elementorum libri XV breviter demonstrati, opera Is. Barrow / [Euclid]. Source: Wellcome Collection.

    412/428 (page 386)
    PROP 7l. es ? * Si diorum triangnlorum ABC , DEE ; circa e« quales angulos,aut circa inequales quidem datos ta- men (À; c D) latera AB DE; e AC, DFad.: invicem babeant vationem datam; €, ipfa triangula. |! ABC,DEF habebunt ad invicem vationem datam... Mani Nani compleantur pgra. AG; DH. «hac da- eyer,.—— tam habent rationem,b proinde & trigona ABC; . BEF illorum c fubdupla. .Q. E. D. | . PROP. . 72 Si duorum triangulotum ABC, DEF». bafes BC, KE fuerint in ratione data , c» ate ab angu- lis ad bafes (AG, DH,) que faciant ang. &kGC; DHE equales, aut inaequales quidem, fed tamen da- iriangula ABC ; DEF. habebunt ad invicem ratio- nem datam. Nam duc BK adA G , ac EM ad DH pa- rallelas ; & comple pgra. CK, FM. Hzc fe ha- bentjuxta 70. hujus 5. quare triangula eorum * fubdüpla ABC, DEF rationem habent datam. Q. E. D. PROoOP.]|