 | Euclid, John Keill - Geometry - 1723 - 436 pages
...Angle AEG is * equal to the Angle BEH; therefore AGE, BEH, are two Triangles, having two Angles of the one equal to two Angles of the other, each to each, and one Side AE equal to one Side EB, viz- thole that are at the equal Angles ; and fo the other Sides $16.1. of... | |
 | John Keill - Geometry - 1733 - 446 pages
...Angle HAG is alfo equa to the Angle MDF. Therefore the two Triangles MDF, HA C, have two Angles of the one equal to two Angles of the other, each to each, and one Side of the one equal to one Side of the other, viz. that which is fubtended by one of the equal Angles... | |
 | Robert Simson - Trigonometry - 1762 - 488 pages
...FCK is equal to the right angle FCL. therefore in the n*o triangles FKC, FLC, there ire rwo angles of one equal to two angles of the other, each to each, and the fide FC, which is adjacent to the equal angles in each, is common to both ; therefore the other... | |
 | Euclid - Geometry - 1765 - 492 pages
...remaining angle B AC equal to the remaining angle ED F. If therefore two triangles have two angles of the one equal to two angles of the other, each to each; and one fide of the one equal to one fide of the other, either that which is between the equal angles, or that... | |
 | Robert Simson - Trigonometry - 1775 - 534 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 - 322 pages
...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 - 1781 - 542 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 Keill - Geometry - 1782 - 472 pages
...is alfo equal to the Angle MDF ; therefore the two Triangles MDF, HAC, have two Angles af thef-one equal to two Angles of the other, each to each, and one Side of the one equal to one Side of the other; viz. that which is fubtencfed by one of the equal. Angles... | |
 | Euclid, John Playfair - Euclid's Elements - 1795 - 462 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 - 118 pages
...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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If two triangles have two angles of the one equal to two angles of the other, each to each ; and one side equal to one side, viz. 
