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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 172
by Euclid, Rev. John Allen - 1822 - 494 pages
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New Plane Geometry

Webster Wells - Geometry, Plane - 1908 - 174 pages
...of the tests of similarity is satisfied. PROP. XV. THEOREM 242. Two triangles are similar when they have an angle of one equal to an angle of the other, and the sides including these angles proportional. Draw A ABC and A'B'C' having ZA = ZA', and the sides...
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Plane and Solid Geometry

Elmer Adelbert Lyman - Geometry - 1908 - 340 pages
...its altitude and one half of the sum of its parallel sides. 396. The areas of two triangles having an angle of one equal to an angle of the other are in the same ratio as the product of the sides including the equal angles. 398. The areas of two similar...
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First Course in Algebra: With Eight Thousand Examples Including Three ...

Albert Harry Wheeler - Algebra - 1908 - 664 pages
...taken parallel to the axis of Y, and accordingly the triangles OfiA and OH' A' are similar, since they have an angle of one equal to an angle of the other, and the included sides proportional. It follows that either of the points A or A' lies on the straight...
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New Plane and Solid Geometry

Webster Wells - Geometry - 1908 - 298 pages
...two angles of the other ( 236). When their homologous sides are proportional ( 240). When they have an angle of one equal to an angle of the other, and the sides including these angles proportional ( 242). When their sides are parallel each to each,...
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Exercises in Geometry

Grace Lawrence Edgett - Geometry - 1909 - 81 pages
...bisector of the opposite angle. Group V. Similar Polygons 1. Two parallelograms are similar if they have an angle of one equal to an angle of the other, and the including sides proportional. 2. Two rectangles are similar if two adjacent sides of one are...
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Plane Geometry: With Problems and Applications

Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1910 - 280 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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Wentworth's Plane Geometry

George Wentworth, David Eugene Smith - Geometry, Plane - 1910 - 287 pages
...AABC ABX.AC Then rTT , = , , —— • 332 (The areas of two triangles that 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.) AABC AB AC 1S, A t'fi'C' = IW x I 7 C^' *...
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Plane Geometry: With Problems and Applications

Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1910 - 280 pages
...perpendicular to the sides of the other are similar. PLANE GEOMETRY. 259. THEOREM. // 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. \ o' (Why?) V BC Given...
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Plane Geometry

Clara Avis Hart, Daniel D. Feldman - Geometry, Plane - 1911 - 303 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
...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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