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 203
and also equal andparallel to EG, there-fore DB is equal and parallel (9. 11.) to EG: and DE, BG join their extremities; there-fore DE is equal and parallel (33. 1.) to BG: and DG, YS aredrawn from points in the one, to points in the other; and aretherefore in one plane: whence it is manifest, that… … BOOK XI. THE ELEMENTS OF EUCLID. 201 the triangles DTY, GTS there are two angles in the one equal totwo angles in the other, and one side equal to one side, oppositeto two of the equal angles, viz. DY to GS; for they are the halvesof DE, BG: therefore the remaining sides are equal (26. 1.) eachto…
Mathematics, Greek · Geometry · Trigonometry
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