| Nathan Scholfield - Conic sections - 1845
...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 - 308 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 - 384 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 - Geometry - 1857 - 444 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 - 468 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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