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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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Numerical Problems in Plane Geometry: With Metric and Logarithmic Tables

Joe Garner Estill - 1896 - 214 sider
...distant from the nearest point on the circumference, is twelve units. Find the diameter of the circle. 5. Two triangles having an angle of one equal to an angle of the other are to each other as the product of the sides including the equal angles. 6. Find the ratio of the radius of a circle to the...
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Numerical Problems in Plane Geometry: With Metric and Logarithmic Tables

Joe Garner Estill - 1896 - 186 sider
...distant from the nearest point on the circumference, is twelve units. Find the diameter of the circle. 5. Two triangles having an angle of one equal to an angle of the other are to each other as the product of the sides including the equal angles. 6. Find the ratio of the radius of a circle to the...
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Exercises in Wentworth's Geometry: With Solutions

George Albert Wentworth - 1896 - 296 sider
...which is 1 inch ? Ex. 292. The areas of two triangles which have an angle of the one supplementary to an angle of the other are to each other as the products of the sides including the supplementary angles. Let the A ABC and A'B'C' have the A ACB and A'ffB' supplements of each other....
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Elements of Geometry, Del 1

Andrew Wheeler Phillips, Irving Fisher - 1896 - 276 sider
...method. PROPOSITION VIII. THEOREM 308. The areas of two triangles which have an angle of. one equal to nn angle of the other are to each other as the products of the sides including^those angles. GIVEN — the triangles ADE and ABC placefl so that their equal angles coincide...
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Elements of Geometry

Andrew Wheeler Phillips, Irving Fisher - 1896 - 570 sider
...PROPOSITION XXIV. THEOREM 709. Two tetraedrons which have a triedral angle of one equal to a triedral angle of the other are to each other as the products of the three edges about the equal triedral angles. GIVEN — the tetraedrons TABC and T'A'B'C having the...
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Syllabus of Geometry

George Albert Wentworth - 1896 - 68 sider
...equivalent. 607. The volumes of two tetrahedrons, having 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 these trihedral angles. 608. The frustum of a triangular pyramid is equivalent to the...
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Elements of Geometry: Plane geometry

Andrew Wheeler Phillips, Irving Fisher - 1896 - 276 sider
...VIII. THEOREM 3f)8. The areas of two triangles which have an angle of one equal to an angle of thc other are to each other as the products of the sides including those angles. GIVEN—the triangles ADE and ABC placed so that their equal angles coincide at A. To...
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Elementary Solid Geometry and Mensuration

Henry Dallas Thompson - 1896 - 226 sider
...etc., and let C\, C2, etc., be the areas of PEG, GEJ, etc., respectively ; then C = C\-\-C1 + etc. 1/2 the other, are to each other as the products of the sides containing the equal angles.] Therefore, the pyramid E-LRS is four times the pyramid E-LFG, and E-LFG...
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The Elements of Geometry

Henry W. Keigwin - 1897 - 254 sider
...parallelogram. (Bryn Mawr, 1894.) 10. Prove that the areas of two triangles which have an angle of the one equal to an angle of the other are to each other...products of the sides including the equal angles. Describe an isosceles triangle equal in area to a given triangle and having its vertical angle equal...
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Elements of Geometry

Andrew Wheeler Phillips, Irving Fisher - 1896 - 574 sider
...PROPOSITION XXIV. THEOREM 700. Two tetraedrons which have a triedral angle of one equal to a triedral angle of the other are to each other as the products of the three edges about the equal triedral angles. GIVEN— the tetraedrons TABC and T'A'B'O having the....
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