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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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Plane and Solid Geometry

James Howard Gore - Geometry - 1898 - 232 pages
...have an acute angle of one equal to an acute angle of the other. 2. 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. 3. Two triangles are similar when the sides of one are parallel...
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The Essentials of Geometry (plane)

Webster Wells - 1898 - 264 pages
...one of the tests of similarity is satisfied. PROP. XVII. THEOREM. 261. 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. B _ B' Given, in &ABC and A'B'C', . i ' PROP. XVIII. THEOREM....
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The Essentials of Geometry

Webster Wells - Geometry - 1899 - 424 pages
...one of the tests of similarity is satisfied. PROP. XVII. THEOREM. 261. 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. A C B' Given, in A ABC and A'B'C', AC PBOP. XVIII. THEOREM....
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Plane and Solid Geometry

William James Milne - Geometry - 1899 - 404 pages
...equal bases, to their altitudes. 336 c. To the products of their bases by their altitudes. 336 d. If they have an angle of one equal to an angle of the other, to the products of the sides including the equal angles. 340 e. If they are similar triangles, to...
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Plane Geometry

William James Milne - Geometry, Modern - 1899 - 258 pages
...equal bases, to their altitudes. 336 c. To the products of their bases by their altitudes. 336 d. If they have an angle of one equal to an angle of the other, to the products of the sides including the equal angles. 340 e. If they are similar triangles, to...
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Syllabus of Propositions in Geometry: Intended for Use in Preparing Students ...

Harvard University - Geometry - 1899 - 39 pages
...respectively equal to two angles of the other, the triangles are similar. THEOREM III. 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. THEOREM IV. If two triangles...
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Plane and Solid Geometry

George Albert Wentworth - Geometry - 1899 - 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 A'B'C', let ^ A = ^ A', and let AB : A'B' = AC : A'C'. To...
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Plane Geometry

George Albert Wentworth - Geometry, Modern - 1899 - 276 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 A'B'C', let ZA = Z A', and let AB : A'B' = AC : A'C'. To...
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The Elements of Plane Geometry

Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...each other as the products of the sides including the supplementary angles. Ex. 540. If two triangles have an angle of one equal to an angle of the other, and a second angle of one supplementary to a second angle of the other, the sides about the third angles...
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Solid Geometry, Volumes 6-9

George Albert Wentworth - Geometry, Solid - 1899 - 248 pages
...angle of the one is equal to an acute angle of the other. 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. 358. If two triangles have their sides respectively proportional, they are similar....
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