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" The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. "
The Elements of Plane Geometry - Side 179
av Charles Austin Hobbs - 1899 - 240 sider
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Elements of Geometry

George Washington Hull - 1897 - 408 sider
...of their slant heights. 439. Two tetrahedrons having a trihedral angle of one equal to a trihedral angle of the other are to each other as the products of the edges including the equal trihedral angles. 440. The plane which bisects a dihedral angle of a tetrahedron...
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The Essentials of Geometry (plane)

Webster Wells - 1898 - 250 sider
...3. Find the dimensions of a rectangle whose area is 108, and perimeter 52. PROP. VIII. THEOREM. 321. Two triangles having an angle of one equal to an angle...products of the sides including the equal angles. A Given Z A common to A ABC and ABC'. To Prove ABC_ = ABxAC . AB'C' AB' x AC ' Proof. Draw line B'C....
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Plane and Solid Geometry

James Howard Gore - 1898 - 232 sider
...BEFand. FEC, EDC. PROPOSITION VII. THEOREM. 261. The areas of two triangles having an angle of the one equal to an angle of the other, are to each other...products of the sides including the equal angles. . Let ABC and ADE be two triangles, having Z A common. £> To prove that ——- = \ ^ x A — 1 ADE...
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Yale University Entrance Examinations in Mathematics: 1884 to 1898

1898 - 228 sider
...point B, and prove the construction correct. 5. The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including those angles. (B) 1. The shadow cast on level ground by a church steeple is 27 meters long: at the...
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Entrance Examinations in Mathematics, 1884 to 1898 [with Supplements to 1900]

Yale University - 1898 - 212 sider
...point B, and prove the construction correct. 5. The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including those angles. (В) 1. The shadow cast on level ground by a church steeple is 27 meters long : at the...
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The Essentials of Geometry (plane)

Webster Wells - 1898 - 284 sider
...rectangle whose area is 168, and perimeter 52. (Lot x represent the base.) PROP. VIII. THEOREM. 321. Two triangles having an angle of one equal to an angle of the other, are to each other as tJie products of the sides including the equal angles. Given ZA common to A ABC and AB'C'. To Prove...
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A Text-book of Geometry

George Albert Wentworth - 1898 - 266 sider
...the polygon. n PROPOSITION VII. THEOREM. 374. The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as tlie products of the sides including the equal angles. Let the triangles ABC and ADE have the common...
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Theoretical and Practical Graphics: An Educational Course on the Theory and ...

Frederick Newton Willson - 1898 - 322 sider
...element of the surface. (b) Two tetrahedrons which have a trihedral angle of the one equal to a trihedral angle of the other, are to each other as the products of the three edges of the equal trihedral angles. - Illustrating descr,ptive or positional properties: (u)...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - 1898 - 376 sider
...similitude of the triangles. PROPOSITION VIII.—THEOREM. 22. Two triangles having an angle of the one equal to an angle of the other are to each other as tlie products of the sides including the equal angles. Two triangles which have an angle of the one...
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A Text-book of Geometry

George Albert Wentworth - 1898 - 462 sider
...607. The volumes of two tetrahedrons, having a trishedral angle of the one equal to a trihedral an£e of the other, are to each other as the products of the three edges of these trihedral angles. c' Let V and V denote the volumes of the two tetrahedrons S-ABC...
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