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" 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... "
Elements of Geometry: With, Practical Applications - Page 276
by George Roberts Perkins - 1850 - 320 pages
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Elements of Geometry

Adrien Marie Legendre - Geometry - 1819 - 574 pages
...the side BC= FG, th« angle ABC = EFG, and the angle ACB = EGF. THEOREM. 481. Two triangles situated on the same sphere, or on equal spheres, are equal in all their parts, when a side and the two adjacent angles of the one are equal to a side and the two adjacent angles of the...
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Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - Geometry - 1822 - 394 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,...
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Elements of Geometry...: Translated from the French for the Use of the ...

Adrien Marie Legendre, John Farrar - Geometry - 1825 - 280 pages
...have the sideBC= FG, the angle ABC = KFG, and the angle ACB=EGF. THEOREM. 481. Two triangles situated on the same sphere, or on equal spheres, are equal in all their parts, when a side and the two adjacent angles of the one are equal to a side and the two adjacent angles of the...
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Elements of Geometry...: Translated from the French for the Use of the ...

Adrien Marie Legendre, John Farrar - Geometry - 1825 - 294 pages
...the side BC = FG, the angle AB C = EFG, and the angle ACB=EGF. THEOREM. 481. Two triangles situated on the same sphere, or on equal spheres, are equal in all their parts, when a side and the two adjaCent angles of the one are equal to a side and the two adjacent angles of the...
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Elements of Geometry

Adrien Marie Legendre - 1825 - 570 pages
...FG, the angle ABC = EFG, and the angle ACB = EGF. THEOREM. 481. Two triangles situated on the fame sphere, or on equal spheres, are equal in all their parts, when a side and the two adjacent angles of the ine are equal to a side and the two adjacent angles of the...
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Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - Geometry - 1828 - 346 pages
...shall call the triangles ACB, ADB, symmetrical triangles. THEOREM. 480. 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,...
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Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - Geometry - 1830 - 344 pages
...by symmetry ; therefore we shall call the triangles ACB, ADB, symmetrical triangles. THEOREM. 480. 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,...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1836 - 394 pages
...by symmetry ; therefore we shall call the triangles ACB, ADB, symmetrical triangles. PROPOSITION X. 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,...
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Elements of Geometry

Adrien Marie Legendre - Geometry - 1841 - 288 pages
...have the side BC the angle ABC = EFG, and the angle ACB = EGF. THEOREM. 481. Two triangles situated on the same sphere, or on equal spheres, are equal in all their parts, when a side and the two adjacent angles of the one are equal to a side and the two adjacent angles of the...
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Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ...

Nathan Scholfield - 1845 - 894 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,and...
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