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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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Solid Geometry

Sophia Foster Richardson - 1914 - 209 σελίδες
...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...

Examination Questions in Mathematics: Third Series, 1911-1915

College Entrance Examination Board - 1915 - 60 σελίδες
...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...

Plane Geometry

Claude Irwin Palmer, Daniel Pomeroy Taylor - 1915 - 277 σελίδες
...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...

Plane Geometry

Webster Wells, Walter Wilson Hart - 1915 - 309 σελίδες
...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....

Plane Geometry

Claude Irwin Palmer, Daniel Pomeroy Taylor - 1915 - 277 σελίδες
...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...

Robbin's New Plane Geometry

Edward Rutledge Robbins - 1915 - 264 σελίδες
...= 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...

Plane Geometry

John Charles Stone, James Franklin Millis - 1916 - 278 σελίδες
...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,...

Plane and Solid Geometry

Webster Wells, Walter Wilson Hart - 1916 - 467 σελίδες
...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....

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...

Solid Geometry

John Charles Stone, James Franklin Millis - 1916 - 174 σελίδες
...triangles have their corresponding sides proportional, the triangles are similar. § 130. If two triangles have an angle of one equal to an angle of the other, and the including sides proportional, they are similar. § 146. The sum of any two sides of a triangle...




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