| Clara Avis Hart, Daniel D. Feldman - Geometry, Modern - 1911 - 332 pages
...will be a parallelogram equal in area to half the original figure. PROPOSITION VIII. THEOREM 498. Turn **triangles which have an angle of one equal to an angle of the** otlier are to each other as the products of tlie sides including the equal angles. Given A AliC and... | |
| Trinity College (Dublin, Ireland) - 1911 - 616 pages
...triangles are equiangular. 10. Prove that equal parallelograms which have one angle of the one equal to one **angle of the other have their sides about the equal angles reciprocally proportional.** ALGEBRA AMD ARITHMETIC. MR. WEBB. 1 . Find the common factor of 2z4 + (>& - lye* + 3» - 7 and $%*... | |
| Robert Louis Short, William Harris Elson - Mathematics - 1911 - 216 pages
...lines; areas are in the same ratio as squares of homologous THEOREM LVII 213. Two triangles having **an angle of one equal to an angle of the other have** the same ratio as the products of the sides including the equal angles. Draw A ABC and DEF having ZA... | |
| Clara Avis Hart, Daniel D. Feldman, Virgil Snyder - Geometry, Solid - 1912 - 216 pages
...circle is equal to one half its perimeter multiplied by the radiue of the inscribed circle. 498. Two **triangles which 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. 503. Two similar triangles... | |
| William Betz, Harrison Emmett Webb, Percey Franklyn Smith - Geometry, Modern - 1912 - 360 pages
...measurements being in centimeters. f? . J/r IJ t T' y, d ' i d PROPOSITION IV. THEOREM 337. If two triangles **have an angle of one equal to an angle of the other,** their areas are to each other as the products of the sides including the equal angles. c' zc Given... | |
| William Betz, Harrison Emmett Webb - Geometry, Modern - 1912 - 368 pages
...44, 36, 28, and 20, measurements being in centimeters. PROPOSITION IV. THEOREM 337. If two triangles **have an angle of one equal to an angle of the other,** their areas are to each other as the products of the sides including the equal angles. Given two triangles... | |
| Trinity College (Dublin, Ireland) - 1913 - 568 pages
...the angle ASC is equal either to the angle AGP or to the angle ACQ. 7. Prove that if two triangles **have an angle of one equal to an angle of the other,** and the sides about these equal angles proportional, they are similar. 8. Prove that similar polygons... | |
| Horace Wilmer Marsh, Annie Griswold Fordyce Marsh - Mathematics - 1914 - 270 pages
...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?... | |
| Sophia Foster Richardson - Geometry, Solid - 1914 - 234 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... | |
| 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;... | |
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