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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: 1st-3d Book - Page 68
by Edson Homer Taylor, Fiske Allen - 1923
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Elementary Functions and Applications

Arthur Sullivan Gale, Charles William Watkeys - Functions - 1920 - 464 pages
...one equal respectively to the angles of the other, the triangles are similar. (c) If two triangles have an angle of one equal to an angle of the other, and the including sides proportional, the triangles are similar. (d) If two triangles have their sides respectively proportional they are...
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Plane Geometry

Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - Geometry, Modern - 1920 - 328 pages
...offsets and multiply the result by the distance between the offsets. Theorem 5 325. If two triangles have an angle of one equal to an angle of the other, their areas are to each other as the product of the sides including the angle of the first is to the...
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Bulletin, Issues 25-53

United States. Office of Education - 1921 - 1286 pages
...are similar if (a) they have two angles of one equal, respectively, to two angles of the other; (6) 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. 14. If two chords intersect in a circle,...
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Bulletin

Education - 1921 - 1190 pages
...are similar Lf («) they have two angles of one equal, respectively, to two angles of the other; (h] they have an angle of one equal to an angle of the other and the including aides are proportional; (c) their sides are respectively proportional. 14. If two chords intersect...
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The Reorganization of Mathematics in Secondary Education

National Committee on Mathematical Requirements - Mathematics - 1922 - 84 pages
...are similar if (a) they have two angles of one equal, respectively, to two angles of the other; (b) 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. 14. If two chords intersect in a circle,...
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Solid Geometry

Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - Geometry, Solid - 1922 - 216 pages
...a trapezoid is one half the product of its altitude and the sum of its bases. 325. If two triangles have an angle of one equal to an angle of the other, their areas are to each other as the product of the sides including the angle of the first is to the...
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Essentials of Plane Geometry

David Eugene Smith - Geometry, Plane - 1923 - 314 pages
...FUNDAMENTAL THEOREMS BOOK III Proposition 4. Angle and Proportional Sides 213. Theorem. If two triangles have an angle of one equal to an angle of the other and the including sides proportional, the triangles are similar. •BA Given the AABC and A'B'C' with ZC=ZC' and with CA CB C'A' C'B' Prove...
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The Reorganization of Mathematics in Secondary Education: A Report of the ...

National Committee on Mathematical Requirements - Mathematics - 1923 - 680 pages
...are similar if (a) they have two angles of one equal, respectively, to two angles of the other; (b) 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. Teachers should fed free to separate...
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Schultze and Sevenoak's Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 484 pages
...rectangle inclose a rhombus. Ex. 1067. 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. 1068. Two rectangles are similar if two adjacent sides are proportional. Ex. 1069. Three times...
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The Teaching of Mathematics in the Elementary and the Secondary School

Jacob William Albert Young - Mathematics - 1924 - 484 pages
...are similar if (a) they have two angles of one equal, respectively, to two angles of the other; (b) 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. 14. If two chords intersect in a circle,...
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