Two triangles having 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 Text-book of Geometry - Page 187by George Albert Wentworth - 1894 - 437 pagesFull view - About this book
| Mathematical association - 1884 - 146 pages
...two adjoining: sides of the one respectively equal to two adjoining sides of the other, and likewise an ang:le of the one equal to an angle of the other ; the parallelograms are identically equal. Let ABCD, EFGH be two parallelograms having the angle ABC... | |
| 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... | |
| Dalhousie University - 1888 - 212 pages
...sides, the solids contained by the alternate segments of these lines are equal. 3. If two triangles have an angle of the one equal to an angle of the other, and have their areas proportional to the squares of the side* opposite these equal angles, they must... | |
| 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... | |
| Great Britain. Board of Education - Education - 1900 - 906 pages
...long as CD. The diagonals AC, BD intersect at 0. Show that CO 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... | |
| 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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