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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. "
Junior High School Mathematics ... - Page 68
by Edson Homer Taylor, Fiske Allen - 1923
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Elementary Geometry, Plane and Solid: For Use in High Schools and Academies

Thomas Franklin Holgate - Geometry - 1901 - 460 pages
...equal, respectively, to two angles of the other, the triangles are similar. 250. (3) 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. 251. (4) If the ratios of...
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Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1902 - 394 pages
...rectangle enclose a rhombus. Ex. 737. Two parallelograms are similar when they have an angle of the one equal to an angle of the other, and the including sides proportional. Ex. 738. Two rectangles are similar if two adjacent sides are proportional. Ex. 739. A circumference...
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Plane Geometry

Arthur Schultze - 1901 - 260 pages
...rectangle enclose a rhombus. Ex. 737. Two parallelograms are similar when they have an angle of the one equal to an angle of the other, and the including sides proportional. Ex. 738. Two rectangles are similar if two adjacent sides are proportional. Ex. 739. A circumference...
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Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 394 pages
...rectangle enclose a rhombus. Ex. 737. Two parallelograms are similar when they have an angle of the one equal to an angle of the other, and the including sides proportional. Ex. 738. Two rectangles ~are similar if two adjacent sides are proportional. Ex. 739. A circumference...
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Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 396 pages
...rectangle enclose a rhombus. Ex. 737. Two parallelograms are similar when they have an angle of the one equal to an angle of the other, and the including sides proportional. Ex. 738. Two rectangles are similar if two adjacent sides are proportional. Ex. 739. A circumference...
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Mathematics, mechanics, heat

American School (Chicago, Ill.) - Engineering - 1903 - 392 pages
...C. Hence the triangle A' B' C' is similar to AB C. THEOREM Mil. 176. 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. In the triangles ABC and A' B' C', let angle A = angle A...
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Elementary Geometry: Plane

James McMahon - Geometry, Plane - 1903 - 380 pages
...and is therefore similar to ABC. Two sides and a non-included angle. 45. THEOREM 11. If two triangles have an angle of one equal to an angle of the other, and if the sides about another angle in each are proportional (in such a way that the sides opposite the...
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Plane Geometry by the Suggestive Method

John Alton Avery - Geometry, Modern - 1903 - 136 pages
...is 30, the altitude is 5, and one base is 8. Find the other base. THEOREM IX 192. // two triangles have an angle of one equal to an angle of the other, the ratio of the areas of the triangles equals the ratio of the products of the sides including the...
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Elementary Geometry: Plane

James McMahon - Geometry, Plane - 1903 - 380 pages
...therefore similar to ABC. Two sides and a non-included angle. 45. THEOREM 11. If two triangles l:ave an angle of one equal to an angle of the other, and if the sides about another angle in each are proportional (in such a way that the sides opposite the...
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Plane and Solid Geometry

George Albert Wentworth - Geometry - 1904 - 496 pages
...other. BOOK III. PLANE GEOMETRY. PROPOSITION XVIII. THEOREM. 357. If two triangles have an angle of the one equal to an angle of the other, and the including sides proportional, they are similar. In the triangles ABC and AW, let ZA = ^ A', and let AB : A'B' = AC : To prove that...
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