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If two triangles have two sides and the inchtded angle of the one respectively equal to two sides and the included angle of the other, the two triangles are equal in all respects.
Elements of Geometry - Page 142
by Adrien Marie Legendre - 1825 - 224 pages

## Elements of Geometry

Adrien Marie Legendre - Geometry - 1819 - 208 pages
...being sides of the same square ; and BF = BC, for the same reason; consequently the triangles ABF, HBC, have two sides and the included angle of the one respectively equal to two sides and the included angle of the other ; they are therefore equal (36). The triangle ABF is half of the rectangle BE], which...

## Elements of Geometry

Adrien Marie Legendre - Geometry - 1825 - 224 pages
...Fig. 230. Demonstration. Let the side AB — EF (fig. 230), the side AC = EG, and the angle BAC = FEG, the triangle EFG can be placed upon the triangle ABC,...equal we shall have the sideBC= FG, the angle ABC - EFG, and the angle ACB = EGF. 481. Two triangles situated on the same sphere, or on equal spheres,...

## Elements of Geometry

Adrien Marie Legendre - Geometry - 1825 - 224 pages
...being sides of the same square; and BF = BC, for the same reason ; consequently the triangles ABF, HBC, have two sides and the included angle of the one respectively equal to two sides and the included angle of the other ; they are therefore equal (36). The triangle ABF is half of the rectangle BE], which...

## Elements of Geometry, Theoretical and Practical: Including Constructions of ...

Eugenius Nulty - Geometry - 1836 - 220 pages
...determine such equality are comprised in the four following theorems. THEOREM VI. 38. If two triangles have two sides, and the included angle of the one...respectively equal to two sides and the included angle of the other, the remaining sides and angles are respectively equal. This theorem appears to be self-evident...

## An Elementary Treatise on Plane and Solid Geometry

Benjamin Peirce - Geometry - 1837 - 159 pages
...triangle ABC, symmetrical to ABC. 452. Theorem. If two triangles on the same sphere, or on equal spheres, have two sides, and the included angle of the one respectively equal to the two sides and the included angle of the other, they are equal, or else they are symmetrical. Isosceles...

## Elements of Geometry

Adrien Marie Legendre - Geometry - 1841 - 235 pages
...being sides of the same square ; and BF= BC, for the same reason ; consequently the triangles ABF, HBC, have two sides and the included angle of the one respectively equal to two sides and the included angle of the other ; they are therefore equal (36). The triangle ABF is half of the rectangle BE,* which...

## An Elementary Treatise on Plane and Solid Geometry

Benjamin Peirce - Geometry - 1847 - 150 pages
...triangle ABC', symmetrical to ABC. 452. Theorem. If two triangles on the same sphere, or on equal spheres, have two sides, and the included angle of the one respectively equal to the two sides and the included angle of the other, they are equal, or else they are symmetrical. Proof....

## Elementary Course of Geometry ...

Charles William Hackley - Geometry - 1847 - 103 pages
...confined to the second. PROP. IX. Two spherical triangles are either identical or symmetrical, 1°. When they have two sides and the included angle of the one equal to the same in the other ; 2°. When they have a side and two adjacent angles ; 3°. When they...