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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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Constructive Text-book of Practical Mathematics

Horace Wilmer Marsh, Annie Griswold Fordyce Marsh - Mathematics - 1914
...triangle are in what relation to the angles of the greater triangle? Finish the demonstration. V THEOREM 5 Triangles which have an angle of one equal to an angle of the other and the including sides proportional are similar. By what theorems have triangles been proved similar?...
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Solid Geometry

Sophia Foster Richardson - Geometry, Solid - 1914 - 209 pages
...if they are mutually equiangular ; (6) if their corresponding sides are proportional ; (c) if they have an angle of one equal to an angle of the other and the including sides proportional. 249. Show that two plane polygons can be placed in the homothetic...
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Examination Questions in Mathematics: Third Series, 1911-1915

College Entrance Examination Board - Mathematics - 1915 - 60 pages
...locus. Find the locus of the center of a circle passing through two given points. 3. The areas of two triangles which have an angle of one equal to an angle of the other are to each other as the products of the side including those angles. 4. Construct a triangle ABC; given AB=2 in., angle...
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Plane Geometry

Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry, Plane - 1915 - 277 pages
...in the figure. Find the area of the cross section in square feet. 375. Theorem. Two triangles that have 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. s Given AABC and ADEF with ZC = ZF. _, AABC...
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Plane Geometry

Webster Wells, Walter Wilson Hart - Geometry, Plane - 1915 - 309 pages
...the same ratio as the squares of their perimeters. PROPOSITION XII. THEOREM 346. Two triangles having an angle of one equal to an angle of the other are to each other as the jproducts of the sides including these angles. Hypothesis. A ABC and A AB'C' have ZA common....
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Plane Geometry

Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry, Plane - 1915 - 277 pages
...1 minute. 60 minutes = 1 degree. 60" 60' = 1'. = 1. 28. Experiment. The two triangles ABC and GHK have an angle of one equal to an angle of the other. Are these two triangles equal? FIG. 3 The two triangles ABC and DEF have the three angles of one equal...
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Robbin's New Plane Geometry

Edward Rutledge Robbins - Geometry, Plane - 1915 - 264 pages
...= ZB (67). .-. A AMN is similar to A ABC (303). QED PROPOSITION XXII. THEOREM 306. 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 / \ BCEF Given : A...
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Plane Geometry

John Charles Stone, James Franklin Millis - Geometry - 1916 - 278 pages
...drawing, is given in books on engineering. Prove this formula. 228. Theorem. — Two triangles having an angle of one equal to an angle of the other are to each other as the products of the sides including those angles. M B D Hypothesis. Conclusion. In AABCand ADEF,...
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Plane and Solid Geometry

Webster Wells, Walter Wilson Hart - Geometry - 1916 - 467 pages
...the squares of their perimeters. AREAS OF POLYGONS PROPOSITION XII. THEOREM 346. Two triangles having an angle of one equal to an angle of the other are to each other as the products of the sides including these angles. Hypothesis. A ABC and A AB'C' have ZA common....
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SOLID GEOMETRY

WILLIAM BETZ, HARRISON E. WEBB - 1916
...one equal respectively to the angles of the other, the triangles are similar. 386. If two triangles have an angle of one equal to an angle of the other, and the including sides proportional, the triangles are similar. 391. The homologous altitudes of two...
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