 | Clara Avis Hart, Daniel D. Feldman, Virgil Snyder - Geometry, Solid - 1912 - 230 pages
...to one half its perimeter multiplied by the radius 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... | |
 | Trinity College (Dublin, Ireland) - 1913 - 568 pages
...the angle ASC is equal either to the angle AGP or to the angle ACQ. 7. Prove that if two triangles have an angle of one equal to an angle of the other, and the sides about these equal angles proportional, they are similar. 8. Prove that similar polygons can he divided... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry, Plane - 1913 - 328 pages
...homologous sides. PROPOSITION XX. THEOREM 309. Two ti iangles are similar if an angle of the one is equal to an angle of the other, and the sides including these angles are proportional. Given in A ABC and A'B'C', A' ZA = Z A', and AB: A'B' = AC: A'C ' . To prove A ABC... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 490 pages
...homologous sides. PROPOSITION XX. THEOREM 309. Two triangles are similar if an angle of the one is equal to an angle of the other, and the sides including these angles are proportional. A < Given in A ABC and A'B'C', Z A = £ A', and AB: A'B' = AC: A'C ' . To prove A... | |
 | Sophia Foster Richardson - Geometry, Solid - 1914 - 236 pages
...: (a) if they are mutually equiangular ; (6) if their corresponding sides are proportional ; (c) if they have an angle of one equal to an angle of the other and the including sides proportional. 249. Show that two plane polygons can be placed in the homothetic relation... | |
 | Horace Wilmer Marsh, Annie Griswold Fordyce Marsh - Mathematics - 1914 - 270 pages
...the point of division of the radius with the extremity of the chord. Prove that these two triangles have an angle of one equal to an angle of the other and the including sides proportional, and are therefore similar. The necessary proportion can be obtained by... | |
 | Horace Wilmer Marsh - Mathematics - 1914 - 306 pages
...same size. 2. Mutually equiangular. (Theorem 3.) 3. Homologous sides proportional. (Theorem 4.) 4. One angle of one equal to an angle of the other and the including sides respectively proportional. (Theorem 5.) 5. Sides respectively parallel or perpendicular.... | |
 | Trinity College (Dublin, Ireland) - 1914 - 568 pages
...CA : : EF : FD, prove that the triangles are equiangular. 6. If two triangles are equal in area, and have an angle of one equal to an angle of the other, prove that the sides about these equal angles are reciprocally proportional. 7. If four straight lines... | |
 | Edward Rutledge Robbins - Geometry, Plane - 1915 - 282 pages
...equal to an acute angle of the other. [In right triangles.] (3) Homologous sides proportional. (4) An angle of one equal to an angle of the other and the including sides proportional. (5) Their sides respectively parallel or perpendicular. Four lines are... | |
 | College Entrance Examination Board - Mathematics - 1915 - 72 pages
...locus of the center of a circle 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;... | |
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... they have an angle of one equal to an angle of the other and the including sides are proportional; (c) their sides are respectively proportional. 
