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" If two triangles have an angle of one equal to an angle of the other... "
Euclid's Elements of Geometry: The Six First Books. To which are Added ... - Page 176
by Rev. John Allen - 1822 - 494 pages
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Plane Geometry: With Problems and Applications

Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1910 - 300 pages
...respectively parallel or perpendicular to the sides of the other are similar. 259. THEOEEM. // two triangles have an angle of one equal to an angle of the other and the pairs of adjacent sides in the same ratio, the triangles are similar. B' C' c Given A ABC and...
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Plane Geometry

Clara Avis Hart, Daniel D. Feldman - Geometry, Modern - 1911 - 328 pages
...whose bases are 6 and 6' and whose other sides are each equal to s. PROPOSITION VIII. THEOREM 49R 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 the equal angles. 4 GCD 2. 3. To prove Given A ABC and DEF,...
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Bulletin, Issues 1-13

United States. Office of Education - 1911 - 1154 pages
...in a circumference is measured by one-half the arc intercepted by its sides. 3. 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. ■ 4. (iiven a parallelogram and a point...
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Bulletin, Issues 1-11

Education - 1911 - 1030 pages
...in a circumference is measured by one-half the arc Intercepted by its sides. 3. 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. 4. Given a parallelogram and a point outside...
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Plane Geometry

Clara Avis Hart, Daniel D. Feldman - Geometry, Modern - 1911 - 332 pages
...will be a parallelogram equal in area to half the original figure. PROPOSITION VIII. THEOREM 498. Turn triangles which have an angle of one equal to an angle of the otlier are to each other as the products of tlie sides including the equal angles. Given A AliC and...
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The Teaching of Geometry

David Eugene Smith - Geometry - 1911 - 358 pages
...with the tape, is given on page 99. 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 the equal angles. This proposition may be omitted as far as...
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College Entrance Examination Papers in Plane Geometry

Geometry, Plane - 1911 - 192 pages
...vertices of a parallelogram. When will this parallelogram be a rectangle? 2. Prove that if two triangles have an angle of one equal to an angle of the other, and the sides including these angles proportional, the triangles are similar. Prove that if two diagonals...
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Solid Geometry

Clara Avis Hart, Daniel D. Feldman, Virgil Snyder - Geometry, Solid - 1912 - 216 pages
...circle is equal to one half its perimeter multiplied by the radiue of the inscribed circle. 498. 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 the equal angles. 503. Two similar triangles are to each other...
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Plane Geometry

William Betz, Harrison Emmett Webb, Percey Franklyn Smith - Geometry, Plane - 1912 - 360 pages
...measurements being in centimeters. f? . J/r IJ t T' y, d ' i d PROPOSITION IV. THEOREM 337. If two triangles have an angle of one equal to an angle of the other, their areas are to each other as the products of the sides including the equal angles. c' zc Given...
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Plane Geometry

William Betz, Harrison Emmett Webb - Geometry, Modern - 1912 - 368 pages
...44, 36, 28, and 20, measurements being in centimeters. PROPOSITION IV. THEOREM 337. If two triangles have an angle of one equal to an angle of the other, their areas are to each other as the products of the sides including the equal angles. Given two triangles...
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