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. A D A' Hyp. In triangles ABC and A'B'C', To prove AABC A A'B'C' A'B' x A'C ' Proof. Draw... Elements of Geometry - Page 65by Adrien Marie Legendre - 1841 - 235 pagesFull view - About this book
| Cora Lenore Williams - Geometry - 1905 - 42 pages
...similitude. Prop. 110. Mutually equiangular triangles are similar. Prop. 111. If two triangles have **an angle of the one equal to an angle of the other, and the** including sides proportional, they are similar. Prop. 112. If two triangles have their corresponding... | |
| Education - 1879
...have two angles of the one equal to two angles of the other; Two triangles are similar If they have **an angle of the one equal to an angle of the other and the** including sides proportional ; Two triangles are similar If they have their sides respectively proportional."... | |
| Education - 1907 - 880 pages
...have two angles of the one equal to two angles of the other; Two triangles are similar if they have nn **angle of the one equal to an angle of the other and the** including sides proportional ; Two triangles are similar if they have their sides respectively proportional."... | |
| Cora Lenore Williams - Geometry - 1905 - 42 pages
...parallelograms have two adjacent sides of the one equal respectively to two adjacent sides of the other, and **an angle of the one equal to an angle of the other,** the parallelograms are congruent. Prop. 78. Two rectangles are congruent if two adjacent sides of the... | |
| Edward Rutledge Robbins - Geometry, Plane - 1906 - 254 pages
...mean proportional between the segments of the other. 51. Two parallelograms are similar if they have **an angle of the one equal to an angle of the other and the** including sides proportional. 52. Two rectangles are similar if two adjoining pairs of homologous sides... | |
| Isaac Newton Failor - Geometry - 1906 - 418 pages
...trapezoids are then computed by the previous theorems. PROPOSITION VII. THEOREM 414 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. HYPOTHESIS. The & ABC and... | |
| Isaac Newton Failor - Geometry - 1906 - 418 pages
...are then computed by the previous theorems. 198 PROPOSITION VII. THEOREM 414 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. HYPOTHESIS. The & ABC and... | |
| Trinity College (Dublin, Ireland) - 1907
...respectively, so that OA : AD = CB : BE, prove that DE is parallel to AB. 8. If two triangles have **an angle of the one equal to an angle of the other and the sides about the equal angles** reciprocally proportional, prove the triangles equal in area. 9. Given any two rectilinear figures,... | |
| Edward Rutledge Robbins - Geometry - 1907 - 412 pages
...mean proportional between the segments of the other. 51. Two parallelograms are similar if they have **an angle of the one equal to an angle of the other and the** including sides proportional. 52. Two rectangles are similar if two adjoining pairs of homologous sides... | |
| Great Britain. Education Department. Department of Science and Art - 1908 - 328 pages
...area, from whose sides the given circle shall cut off equal chords. (25) 43. If two triangles have **an angle of the one equal to an angle of the other and the sides about** those angles proportional, show that the triangles are equiangular to one another. Find a point P in... | |
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