| Euclid, John Keill - Geometry - 1723 - 444 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... | |
| Euclid, John Keill - Geometry - 1733 - 444 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 - 326 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 - 552 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 - 476 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 - 120 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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