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

  • Euclid
Date:
1659
Catalogue details

Licence: Public Domain Mark

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

    54/428 page 28
    217. t.[ b35.ddf. 1. EVCLIDIS Elementorum SCHOL. Omne quadrilaterium A B D C babens latera ops | poftta &quaita; eft parallelogrammum. Nam per 8. r. ang.4A B C — B CD. *érgo A B, C D parallele funt. Eadem ratione ang. BCA — CBD;aquare A C, B D etiam paralle- | ]x funt. b Ergo ABDC eft parallelozrammum. | Q. E. D. A o E peditus — per | Fut A-B datum puu- f. 2 &um C da-].. tz rete AD T. £—B-— ducetur | pa- B ^; ralela CD: B.. Sume in A B quodyis pun&um E. centris E. | & C ad quodvis intervallum duc zquales circu- | los E F, C D. centro vero E, fpatio E C duc cir- | ducta C D parall. A B. Nam ut modo demon- | firatum eft, C E F D eít paralleiogrammum. | Ror. XXXV. F Pavallelogramma BCPDA, BCFE fu- | per eadem baft BC , | c ineifdem pavalle- | lis AF, BC conflitu- | ta , inter fefunt &- Nam A Dz —BCs—— EF. adde commu- | nem DE,» erit AE — DF. Sed & ABa — D€; & ang; Ac — C D F. 4ergo triang. ABE-— D C F. aufer commune D G E , erit Trapez. | ABGD — EGCEF. addecommune BGC, rerit | Per. ABCD — EBCF, Q. E. D. Reliquorum cafuum non diffimilis ; fed tumplicior & facilior eft demonítratio.
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