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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. "
A Treatise on Elementary Geometry: With Appendices Containing a Collection ... - Page 216
by William Chauvenet - 1871 - 368 pages
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Military Education in the United States

Ira Louis Reeves - Military education - 1914 - 508 pages
...regular hexagon. 8. Theorem: 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. 9. Problem: Through a given point on one side of a triangle to draw a...
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Examination Questions in Mathematics: Third Series, 1911-1915

College Entrance Examination Board - Mathematics - 1915 - 72 pages
...passing through two given points. 3. 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 side including those angles. 4. Construct a triangle ABC; given AB=2 in., angle B= 75°, and the median...
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Plane Geometry

Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry, Plane - 1915 - 296 pages
...the cross section in square feet. 376. Theorem. Two triangles that have 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. Given AABC and ADEF with ZC = ZF. AABC AC . BC To prove - = . ADEF...
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Plane Geometry

John Charles Stone, James Franklin Millis - Geometry - 1916 - 298 pages
...DEF DExDF. §221 Ax. IV Ax. XII EXERCISES 1. Two triangles having an angle of one supplementary to an angle of the other are to each other as the products of the sides including those angles. 2. Two parallelograms with equal angles are to each other as the products...
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Solid Geometry

John Charles Stone, James Franklin Millis - Geometry, Solid - 1916 - 196 pages
...equal altitudes and equal bases are equal. § 228. 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 those angles. § 274. (1) If the number of sides of a regular inscribed polygon is...
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Third-year Mathematics for Secondary Schools

Ernst Rudolph Breslich - Logarithms - 1917 - 408 pages
...cannot be more than five kinds of regular polyedrons. 7. Two tetraedrons having a triedral angle of one equal to a triedral angle of the other are to each other as the products of the edges including the equal triedral angles. 8. Two similar polyedrons are to each other as the cubes...
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Plane and Solid Geometry

Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry - 1918 - 460 pages
...the cross section in square feet. 376. Theorem. Two triangles that have 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. Given AABC and ADEF with ZC = _, AABC AC • BC To prove = . ADEF...
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Solid Geometry Developed by the Syllabus Method

Eugene Randolph Smith, William Henry Metzler - Geometry, Solid - 1918 - 232 pages
...opposite angle of the other, and conversely. (6) Areas of triangles having an angle of one equal to an angle of the other are to each other as the products of the including sides. B. PLANE GEOMETRY PROPOSITIONS THAT CAN BE USED IN SOLID GEOMETRY BECAUSE THE NATURE...
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Solid Geometry

Claude Irwin Palmer - Geometry, Solid - 1918 - 192 pages
...of its altitude and its median. § 375. Theorem. Two triangles that have 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. § 376. Theorem. The square constructed on the hypotenuse of a right...
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Schultze and Sevenoak's Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1918 - 486 pages
...PROPOSITION XIII. THEOREM 378. 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. Given A ABC and A'B'C', Z. A = Z A'. To prove A ABC - AB X AC AA'B'C'...
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