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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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Public Documents of Massachusetts, Volume 9

Massachusetts - Massachusetts - 1907
...circumference, is measured by one-half the difference of the intersected arcs. 3. Two triangles, having an angle of one equal to an angle of the other, are to each other as the product of the sides including the equal angles. Prove. 4. If the radius of a circle is 3v%...
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Plane and Solid Geometry

Edward Rutledge Robbins - Geometry - 1907 - 412 pages
...AMN = ZB; Z ANM = ZC (?) (98). ... A are similar (?) (313). QED B C 317. THEOREM. 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. D BCE Given : A ABC and...
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New Plane Geometry

Webster Wells - Geometry, Plane - 1908 - 174 pages
...the form of the trapezoid change ? Draw the trapezoid. PROP. VIII. THEOREM 290. Two triangles having an angle of one equal to an angle of the other, are to each other as the products of tJte sides including the equal angles. A Draw A AB'C' and line BC meeting AB> at...
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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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Plane Geometry Developed by the Syllabus Method

Eugene Randolph Smith - Geometry, Plane - 1909 - 192 pages
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Plane Geometry Developed by the Syllabus Method

Eugene Randolph Smith - Geometry, Plane - 1909 - 192 pages
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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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