| Nathan Scholfield - Conic sections - 1845 - 542 pages
...symmetry ; therefore, we shall call the triangles ACB, ADB, symmetrical triangles. PROPOSITION XII. THEOREM. Two triangles on the same sphere, or on equal spheres, are equal in all their parts, when they have each an equal angle included between equal sides. Suppose the side AB=EF, the side AC=EG,... | |
| Nathan Scholfield - Geometry - 1845 - 506 pages
...therefore, shall call the triangles ACB, ADB, symmetrical triangles. PROPOSITION XII. THEOREM. 7*100 triangles on the same sphere, or on equal spheres, are equal in all their parts, when they have each an equal angle included between equal sides. Suppose the side AB— EF, the side AC=EG,and... | |
| Nathan Scholfield - Conic sections - 1845 - 244 pages
...the triangles ACB, ADB, symmetrical triangles. PROPOSITION XII. THEOREM. Two triangles on the .tame sphere, or on equal spheres, are equal in all their parts, when they have each an equal angle included between equal sides. Suppose the side AB=EF, the side AC=EG,and... | |
| George Roberts Perkins - Geometry - 1847 - 326 pages
...angles of the triangle ADB are equal to the sides and the angles of the triangle ACB. PKOPOSITION XXV. THEOREM. Two triangles on the same sphere, or on equal spheres, are equal in all their parts, when they have each an equal angle included between equal sides. Suppose the side AB=EF, the side AC=EG,... | |
| Charles Davies - Trigonometry - 1849 - 372 pages
...the triangle ADB are equal to the sides and the angles of the triangle ACB. PROPOSITION X. THEOREM. triangles on the same sphere, or on equal spheres, are equal in all their parts, when two sides and the included angle of the one are equal to two sides and the included angle of the other... | |
| Adrien Marie Legendre - Geometry - 1852 - 436 pages
...therefore, we shall call the triangles ACB, ADB, symmetrical triangles. PROPOSITION VIII. THEOEEM. Two triangles on the same sphere, or on equal spheres, are equal in all their parts, when two sides and the included angle of the one are equal to two sides and the included angle of the other,... | |
| Charles Davies - Geometry - 1854 - 436 pages
...21, S. 3) ; therefore, we shall call the triangles ACB, ADB, symmetrical triangles. PROPOSITION VIII. THEOREM. Two triangles on the same sphere, or on equal spheres, are equal in all their parts, when two sides and the included angle of the one are equal to two sides and the included angle of the other,... | |
| George Roberts Perkins - Geometry - 1856 - 460 pages
...to the sides and the angles of the triangle ACB. These triangles are called symmetrical. THEOREM IX. Two triangles on the same sphere, or on equal spheres, are equal in all their parts, when they have each an equal angle included between equal sides. Suppose the side AB = EF, the side AC=EG,... | |
| Adrien Marie Legendre, Charles Davies - Geometry - 1857 - 442 pages
...equal by hypothesis, we have the side BC—FG, the angle EFG, and the angle ACB=EGF. PROPOSITION IX. THEOREM. Two triangles on the same sphere or on equal spheres, are equal in all iheir- parts, when two angles and the included side of the one are equal to two angles and the included... | |
| George Roberts Perkins - Geometry - 1860 - 474 pages
...to the sides and the angles of the triangle ACB. These triangles are called symmetrical. THEOREM IX. Two triangles on the same sphere, or on equal spheres, are equal in all their parts, when they have each an equal angle included between equal sides. Suppose the side AB = EF, the side AC =... | |
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