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Boeken Boek 101 - 110 van 192 over Two triangles, which have an angle of the one equal to an angle of the other, and....
" Two triangles, which have an angle of the one equal to an angle of the other, and the sides containing those angles proportional, are similar. "
The Elements of geometry; or, The first six books, with the eleventh and ... - Pagina 143
door Euclides - 1855
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Euclid's Elements of Geometry, Boeken 1-6;Boek 11

Henry Martyn Taylor - 1895 - 657 pagina’s
...the ratios AB to DE and BC to EF. Wherefore, if two triangles &c. COROLLARY. If two parallelograms have an angle of the one equal to an angle of the other, the ratio of the areas of th« parallelograms is equal to the ratio compounded of the ratios of the...
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A Text-book of Geometry

George Albert Wentworth - 1895 - 437 pagina’s
...of these figures will be the area of the polygon. B PROPOSITION VII. THEOREM. 374. The areas of two triangles which have an angle of the one equal to an angle of tlie other are to each other as the products of the sides including the equal angles. Let the triangles...
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Elements of Geometry: Plane and Solid

John Macnie - 1895 - 374 pagina’s
...at the base of A ABC in Prop XI. are equal, how is the proposition modified ? 381. If two triangles have an angle of the one equal to an angle of the other, and the sides about another angle proportional, are they necessarily similar ? 382. In the diagram...
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Plane Geometry

George D. Pettee - 1896 - 253 pagina’s
...circumferences at B and C respectively ; show that BA is perpendicular to AC. 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...
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Numerical Problems in Plane Geometry: With Metric and Logarithmic Tables

Joe Garner Estill - 1896 - 161 pagina’s
...segments is constant in whatever direction the chord is drawn. 6. Prove the ratio between the areas of two triangles which have an angle of the one equal to an angle of the other. Define area. 7. Define a regular polygon and prove that two regular polygons of the same number of...
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Numerical Problems in Plane Geometry: With Metric and Logarithmic Tables

Joe Garner Estill - 1896 - 161 pagina’s
...segments is constant in whatever direction the chord is drawn. 6. Prove the ratio between the areas of two triangles which have an angle of the one equal to an angle of the other. Define area. 7. Define a regular polygon and prove that two regular polygons of the same number of...
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Syllabus of Geometry

George Albert Wentworth - 1896 - 50 pagina’s
...If two triangles have their sides respectively proportional, they are similar. 326. If two triangles have an angle of the one equal to an angle of the other, and the including sides proportional, they are similar. 327. If two triangles have their sides respectively...
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Numerical Problems in Plane Geometry with Metric and Logarithmic Tables

Joe Garner Estill - 1896 - 144 pagina’s
...by twice the square on the median to that side. Amherst College, June, 1896. 1. Two triangles having an angle of the one equal to an angle of the other, and the including sides proportional are similar. 2. Inscribe a circle in a given triangle. 3. (1)...
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The Elements of Geometry

Henry W. Keigwin - 1897 - 227 pagina’s
...an isosceles triangle with two given lines in the plane ? (1893.) 14. 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...
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Yale University Entrance Examinations in Mathematics: 1884 to 1898

1898 - 208 pagina’s
...tangent to a given line at a given 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...
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