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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. "
Elements of Geometry: Plane and Solid - Page 283
by John Macnie - 1895 - 374 pages
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Elements of Geometry

Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 570 pages
...method. PROPOSITION VIII. THEOREM 308. The areas of two triangles which have an angle of one equal to an angle of the other are to each other as the products of the sides including those angles. GIVEN — the triangles ADR and ABC placed so that their equal an- •...
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Numerical Problems in Plane Geometry with Metric and Logarithmic Tables

Joe Garner Estill - Geometry - 1896 - 168 pages
...perpendicular to A C. 4. Assuming that 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, prove that the bisector of an angle of a triangle divides the opposite...
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Numerical Problems in Plane Geometry: With Metric and Logarithmic Tables

Joe Garner Estill - 1896 - 186 pages
...perpendicular to A C. 4. Assuming that 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, prove that the bisector of an angle of a triangle divides the opposite...
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Exercises in Wentworth's Geometry: With Solutions

George Albert Wentworth - Geometry - 1896 - 296 pages
...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...
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The Elements of Geometry

Henry W. Keigwin - Geometry - 1897 - 254 pages
...(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 as the products of the sides including the equal angles. Describe an isosceles triangle equal in area to a given triangle...
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Theoretical and Practical Graphics: An Educational Course on the Theory and ...

Frederick Newton Willson - Geometry, Descriptive - 1898 - 322 pages
...of the perimeter of its right section by un element of the surface. (b) Two tetrahedrons which have a trihedral angle of the one equal to a trihedral...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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Plane and Solid Geometry

James Howard Gore - Geometry - 1898 - 232 pages
...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 as the products of the sides including the equal angles. . Let ABC and ADE be two triangles, having Z A common. £> To prove...
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Yale University Entrance Examinations in Mathematics: 1884 to 1898

Mathematics - 1898 - 228 pages
...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...
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Entrance Examinations in Mathematics, 1884 to 1898 [with Supplements to 1900]

Yale University - 1898 - 212 pages
...commensurable and incommensurable. 4. The areas of two triangles having 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. 5. Given a square the length of whose side is 6 units, construct...
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The Essentials of Geometry (plane)

Webster Wells - Geometry - 1898 - 250 pages
...is 108, and perimeter 52. PROP. VIII. THEOREM. 321. Two triangles having an angle of one equal to an angle of the other, are to each other as the products of the sides including the equal angles. A Given Z A common to A ABC and ABC'. To Prove ABC_ = ABxAC . AB'C'...
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