| 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... | |
| Clara Avis Hart, Daniel D. Feldman, Virgil Snyder - Geometry, Solid - 1912 - 230 pages
...to one half its perimeter multiplied by the radius 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... | |
| 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 can he... | |
| George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 500 pages
...CQ. Ax. 9 Also ZC = Z C. Iden. .'. A .4BC and PQC are similar. § 288 (Jf two A have an angle of the **one equal to an angle of the other, and the including sides proportional,** they are similar.) .\CA:CP = AB:PQ; §282 that is, CA : C'A' = AB : PQ. Ax. 9 But CA : C'A' = AB :... | |
| Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 486 pages
...rectangle inclose a rhombus. Ex. 1067. Two parallelograms are similar when they have an angle of the **one equal to an angle of the other, and the including sides proportional.** Ex. 1068. Two rectangles are similar if two adjacent sides are proportional. Ex. 1069. Three times... | |
| Arthur Schultze, Frank Louis Sevenoak - Geometry, Plane - 1913 - 328 pages
...rectangle inclose a rhombus. Ex. 1067. Two parallelograms are similar when they have an angle of the **one equal to an angle of the other, and the including sides proportional.** Ex. 1068. Two rectangles are similar if two adjacent sides are proportional. Ex. 1069. Three times... | |
| Sophia Foster Richardson - Geometry, Solid - 1914 - 234 pages
...relation : (a) 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 relation if their homologous angles... | |
| Horace Wilmer Marsh, Annie Griswold Fordyce Marsh - Mathematics - 1914 - 270 pages
...the point of division of the radius with the extremity of the chord. Prove that these two triangles **have an angle of one equal to an angle of the other and the including sides proportional,** and are therefore similar. The necessary proportion can be obtained by substituting the chord in the... | |
| Horace Wilmer Marsh - Mathematics - 1914 - 304 pages
...same size. 2. Mutually equiangular. (Theorem 3.) 3. Homologous sides proportional. (Theorem 4.) 4. One **angle of one equal to an angle of the other and the including sides** respectively proportional. (Theorem 5.) 5. Sides respectively parallel or perpendicular. (Theorem 6.)... | |
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