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. Syllabus of Geometry - Page 21by George Albert Wentworth - 1896 - 50 pagesFull view - About this book
| William Kingdon Clifford - Mathematics - 1885 - 310 pages
...proposition about parallel lines.1 The first of these deductions will now show us that if two triangles have an angle of the one equal to an angle of the other and the sides containing these angles respectively equal, they must be equal in all particulars. For... | |
| Lewis Carroll - Geometry - 1885 - 318 pages
...have two adjacent sides of the one respectively equal to two adjacent sides of the other, and likewise an angle of the one equal to an angle of the other ; the Parallelograms are identically equal.' This might be a useful exercise to set ; but really it... | |
| Webster Wells - Geometry - 1886 - 392 pages
...equivalent. PROPOSITION XXI. THEOREM. 569. Two tetraedrons having a triedral angle of one equal to a triedral angle of the other, are to each other as the products of the edges including the equal triedral angles - the triangles AUU and AKU have for their common MS 'ie,... | |
| William Chauvenet, William Elwood Byerly - Geometry - 1887 - 331 pages
...(v. V., Exercise 16.) 4. Two tetraedrons which have a triedral angle of the one equal to a triedral angle of the other, are to each other as the products of the three edges of the equal triedral angles, (v. IV., 19, Exercise.) .—•> o Suggestion. The intersections... | |
| Trinity College (Hartford, Conn.) - 1888 - 978 pages
...other. 3. The volumes of two tetrahedrons having a trihedral angle of the one equal to a trihedral angle of the other are to each other as the products of the three edges of these trihedral" angles. 4. A sphere may be inscribed in any given tetrahedron. 5. In... | |
| Benjamin Franklin Finkel - Mathematics - 1888 - 518 pages
...5. Two polygons that are similar to a third polygon ale similar to each other. 6. If two triangles have an angle of the one equal to an angle of the other, their areas are to each other as the rectangles of the sides including those angles. 7. The ratio of... | |
| George Albert Wentworth - Geometry - 1888 - 272 pages
...proportional, but the homologous angles are not equal. PROPOSITION VII. THEOREM. 326. If two triangles have an angle of the one equal to an angle of the other, and the including sides proportional, they are similar. In the triangles ABC and A'B'C', let ZA=ZA',... | |
| Great Britain. Board of Education - Boys - 1900 - 566 pages
...long as CD. The diagonals AC, BD intersect at 0. Show that CO is a quarter of С A. V. Two triangles have an angle of the one equal to an angle of the other, and the sides about those angles proportionals. Prove the triangles similar. VI. AB is a tangent to... | |
| Great Britain. Parliament. House of Commons - Great Britain - 1900 - 686 pages
...long as CD. The diagonals AC, Bl) intersect at 0. Show that (70 is a quarter of CA . V. Two triangles have an angle of the one equal to an angle of the other, and the sides about those angles proportionals. Prove the triangles similar. VI. AB is a tangent to... | |
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