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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 - Σελίδα 276
των George Roberts Perkins - 1850 - 320 σελίδες
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Elements of Geometry

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...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...

Elements of Geometry and Trigonometry: With Notes

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...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,...

Elements of Geometry

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...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...

Elements of Geometry

Adrien Marie Legendre - 1825 - 224 σελίδες
...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...

Elements of Geometry

Adrien Marie Legendre - 1825 - 224 σελίδες
...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...

Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - 1828 - 316 σελίδες
...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,...

Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - 1830 - 316 σελίδες
...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,...

Elements of Geometry and Trigonometry

Adrien Marie Legendre - 1836 - 359 σελίδες
...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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Adrien Marie Legendre - 1841 - 235 σελίδες
...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...

Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ...

Nathan Scholfield - 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,and...




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