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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 ... - Σελίδα 172
των Euclid, Rev. John Allen - 1822 - 494 σελίδες
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Elementary Functions and Applications

Arthur Sullivan Gale, Charles William Watkeys - 1920 - 436 σελίδες
...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...

Solid Geometry

Charles Austin Hobbs - 1921 - 192 σελίδες
...equal to the product of its altitude and one half the sum of its bases. Prop. 153. Two triangles haring 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. Prop. 154. Similar triangles are to each other...

Bulletin, Τεύχη 25-53

United States. Office of Education - 1921
...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...

Bulletin

1921
...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...

The Reorganization of Mathematics in Secondary Education

National Committee on Mathematical Requirements - 1922 - 73 σελίδες
...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...

Drill Book in Plane Geometry

Robert Remington Goff - 1922
...with equal altitudes are to each other as their bases. *331. Two triangles, having 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. *332. Two similar triangles are to each other...

Solid Geometry

Herbert Edwin Hawkes, Frank Charles Touton - 1922 - 192 σελίδες
...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...

The Reorganization of Mathematics in Secondary Education: A Report of the ...

National Committee on Mathematical Requirements - 1923 - 650 σελίδες
...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...

Schultze and Sevenoak's Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - 1913 - 457 σελίδες
...PLANE GEOMETRY PROPOSITION XIII. THEOREM 378. 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. Given A ABC an4 A'B'C', ZA = Z A'. To prove...

Essentials of Plane Geometry

David Eugene Smith - 1923 - 296 σελίδες
...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...




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