The elements of Euclid : viz, the first six books, together with the eleventh and twelfth : the errors, by which Theon, or others, have long ago vitiated these books, are corrected, and some of Euclid's demonstrations are restored : also, The book of Euclid's data, in like manner corrected (1834)
Euclid, Euclid, Simson, Robert, 1687-1768 · Philadelphia : Desilver & Thomas · leaf 39
scribe a parallelogram that shall be equal to agiven triangle, and have one of its angles equal to agiven rectilineal angle. Let ABC be the given triangle, and D the given rectilineal an-gle. It is required to describe a parallelogram that shall be equalto the giv6n triangle ABC, and have one of… … A E G CG (31.1.) parallel to EF: thereforeEECG is a parallelogram: and be-cause BE is equal to EC, the trian-gle ABE is likewise equal (38. 1.) tothe triangle AEC, since they are uponequal bases BE, EC, and betweenUie same parallels BC, AG; there-fore the triangle ABC is double ofthe triangle AEC;…
Mathematics, Greek · Geometry · Trigonometry
Internet Archive · California Digital Library · Public Domain Mark 1.0. Free to use for anything.
