 | Clara Avis Hart, Daniel D. Feldman - 1911 - 328 σελίδες
...and 6' and whose other sides are each equal to s. PROPOSITION VIII. THEOREM 49R 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. 4 GCD 2. 3. To prove Given... | |
 | William Ernst Paterson - 1911 - 262 σελίδες
...the one equal to the corresponding side of the other. Prop. 9. If two triangles have an angle of the one equal to an angle of the other, and the sides about another pair of angles equal, each to each, then the third angles are either equal or supplementary.... | |
 | Clara Avis Hart, Daniel D. Feldman, Virgil Snyder - 1912 - 230 σελίδες
...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 - 1912 - 360 σελίδες
...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 - 1912 - 368 σελίδες
...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 σελίδες
...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 divided up... | |
 | Sophia Foster Richardson - 1914 - 236 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 relation... | |
 | Horace Wilmer Marsh, Annie Griswold Fordyce Marsh - 1914 - 270 σελίδες
...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... | |
 | Horace Wilmer Marsh - 1914 - 306 σελίδες
...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.... | |
 | Trinity College (Dublin, Ireland) - 1914 - 568 σελίδες
...CA : : EF : FD, prove that the triangles are equiangular. 6. If two triangles are equal in area, and have an angle of one equal to an angle of the other, prove that the sides about these equal angles are reciprocally proportional. 7. If four straight lines... | |
| |
... they have an angle of one equal to an angle of the other and the including sides are proportional; (c) their sides are respectively proportional. 
