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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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A Series on Elementary and Higher Geometry, Trigonometry, and Mensuration ...

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,...
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Higher Geometry and Trigonometry: Being the Third Part of a Series on ...

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...
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Higher Geometry and Trigonometry: Being the Third Part of a Series on ...

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...
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Elements of Geometry: With Practical Applications ...

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,...
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Elements of Geometry and Trigonometry Translated from the French of A.M ...

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...
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Elements of Geometry and Trigonometry

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,...
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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

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,...
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Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry ...

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,...
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Elements of Geometry and Trigonometry: From the Works of A.M. Legendre

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...
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Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry ...

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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