| John Keill - Trigonometry - 1733 - 397 pages
...•t 4- i. equal Angles AED, CEB ; the Bafe AD fhall be f equal to the Bafe CB, and the Triangle AED **equal to the Triangle CEB ; and fo likewife is the...two Triangles, having two Angles of the one equal to** the two Angles of the other, each to eachj and one Side AE equal to one Side EB, viz. thofe that are... | |
| Robert Simson, Euclid - Trigonometry - 1762 - 466 pages
...by BD, and that the right angle BED is equal to the right angle BFD, the two triangles EBD, FBD have **two angles of the one equal to two angles of the other,** and the fide BD, which is oppofite to one of -f\ the equal angles in each, is com- -^ men to both :... | |
| Euclides, David Gregory - Mathematics, Greek - 1765 - 464 pages
...the angle I, TY [by i5. i.] is equal to the angle GTS; Therefore there are two triangles DTY, GTS, **having two angles of the one equal to two angles of the** othsr, each to each, and one fide of the one equal to one fide of the other, oppofite to one of the... | |
| John Keill - Geometry - 1772 - 399 pages
...alternate: But the Angle DT Y is 1 15- 1- J equal to the Angle GTS; therefore DTY, GTS, are twoTriangles, **having two Angles of the one equal to two Angles of the other,** as likewife one Side of the one equal to one Side of the other ; viz. the Side DY equal to the Side... | |
| Robert Simson, Euclid - Trigonometry - 1775 - 520 pages
...And the angle AEG is equal to the angle BEH a ; therefore the triangles AEG, BEH have two angles of **one equal to two angles of the other, each to each, and** the fides AE, EB, adjacent to the cqua.t angles, equal to one another ; wherefore they fhall have their... | |
| Euclid - Geometry - 1776 - 264 pages
...be equal or lefs. EDF, it muft be greater. Wherefore, &c. PROP. XXVI. THEO R. TF two triangles have **two angles of the one equal to two angles •*• of the other, each to each, and** aJiJe of the one equal to ajide of the other, either thejide lying between the equal angks, orj'ubtending... | |
| Euclid - Geometry - 1776 - 264 pages
...equal nor lefs than EDF, it muft be greater. Wherefore, &c. PROP. XXVI. THEOR, TF two tr tangles have **two angles of the one equal to two angles •*• of the other, each to** 'eachy and a fide of the one equal to a fide of the other^ either the fide lying between ths equal... | |
| Euclid - 1781 - 520 pages
...And the angle AEG is equal to the angle BEHa ; therefore the triangles AEG, BEH have two angles of **one equal to two angles of the other, each to each, and** the fides AE, EB, adjacent to the equal angles, equal to one another; wherefore they fhall have their... | |
| John Playfair - Euclid's Elements - 1795 - 400 pages
...is equal to the right angle FCL : therefore in the two triangles FKC, FLC, there are tw6 angles of **one equal to two angles of the other, each to each, and** the fide FC, which is adjacent to the equal angles Bonk IV. ^ each, is common to both ; therefore the... | |
| Benjamin Donne - 1796
...nwji be equal to the remaining angle of the other. THEOREM 15. If two triangles have two angles of **one equal to two angles of the other, each to each, and one** s1de of one equal to one D side side of the other, the triangles are equal in every refpcEl. — 20... | |
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