 | Arthur Schultze, Frank Louis Sevenoak - 1913 - 486 σελίδες
...left to the student.] PLANE GEOMETRY PROPOSITION XIII. THEOREM 378. The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. Given A ABC and A'B'C',... | |
 | George Albert Wentworth, David Eugene Smith - 1913 - 491 σελίδες
...Const. CA:CP = CB:CQ. Ax. 9 Also ZC = ZC Iden. .'. A^J5C and PQC are'similar. § 288 (If two A /iaue a?i angle of the one equal to an angle of the other, and the including sides proportional, they are similar.) a '.CA:CP = AB:PQ; §282 that is, CA : C'A' =... | |
 | Queensland. Department of Public Instruction - 1914 - 284 σελίδες
...circle is half that of the square oircumBCribed about the same circle. 8. Prove that if two triangles have an angle of the one equal to an angle of the other arxcl the sides about these angles proportional the triangles will be similar. 9. Two circles intersect... | |
 | John Wesley Young, Albert John Schwartz - 1915 - 248 σελίδες
...equal to an acute angle of the other. PLANE GEOMETRY 410. THEOREM. Two triangles are similar, if they have an angle of the one equal to an angle of the other and the including sides are proportional. , FIG. 186. Given the A ABC and A'B'C', with ZA = Z A', and AB... | |
 | Edith Long, William Charles Brenke - 1916 - 292 σελίδες
...to their corresponding sides. Suggestion. Apply Art. 220, Cor. 3. 222. Theorem XVI. // two triangles have an angle of the one equal to an angle of the other, and the including sides proportional, the triangles are similar. Given the triangles ABC and AiBiCi with... | |
 | Edith Long, William Charles Brenke - 1916 - 292 σελίδες
...to their corresponding sides. Suggestion. Apply Art. 220, Cor. 3. 222. Theorem XVI. // two triangles have an angle of the one equal to an angle of the other, and the including sides proportional, the triangles are similar. Given the triangles ABC and AiBiCi with... | |
 | 1920 - 934 σελίδες
...its sides. Triangles which have their homologous sides proportional are similar. Two triangles which have an angle of the one equal to an angle of the other, and the sides about these angles proportional, are similar. Two triangles which have their sides parallel... | |
 | Arthur Schultze, Frank Louis Sevenoak - 1918 - 486 σελίδες
...to the sum of three given squares. PROPOSITION XIII. THEOREM 378. The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. Given A ABC and A'B'C',... | |
 | 1920 - 934 σελίδες
...its sides. Triangles which have their homologous sides proportional are similar. Two triangles which have an angle of the one equal to an angle of the other, and the sides about these angles proportional, are similar. Two triangles which have their sides parallel... | |
 | Edinburgh Mathematical Society - 1920 - 460 σελίδες
...theorem in similarity corresponding to the converse theorem (2) is the following : If two triangles have an angle of the one equal to an angle of the other and another pair of angles supplementary, then the sides opposite to the equal angles are proportional... | |
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The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. D c A' D' Hyp. In triangles ABC and A'B'C', ZA = ZA'. To prove AABC = ABxAC. A A'B'C' A'B'xA'C'... 
