 | Great Britain. Education Department. Department of Science and Art - 1882 - 510 sider
...values attached to the questions differ little from one another. 1. Prove that two triangles, which have an angle of the one equal to an angle of the other, and the sides including the equal angles proportional, are similar. A diagonal of a parallelogram is... | |
 | Mathematical association - 1883 - 86 sider
...is then called a rhombus. DEF. 42. A square is a rectangle that has all its sides equal. THEOR. 30. If two parallelograms have two adjoining sides of...respectively equal to two adjoining sides of the other j and two squares are equal, if a side of the one is equal to a side of the other. THEOR. 31. If a... | |
 | Association for the improvement of geometrical teaching - 1884 - 150 sider
...the diagonals of a qradrilateral bisect one another the quadrilateral is a parallelogram. THEOR. 30. If two parallelograms have two adjoining sides of...other ; the parallelograms are identically equal. Let ABCD, EFGH be two parallelograms having the angle ABC equal to the angle EFG, and two adjoining... | |
 | Mathematical association - 1884 - 146 sider
...the diagonals of a quadrilateral bisect one another the quadrilateral is a parallelogram. THEOB. 30. If two parallelograms have two adjoining: sides of...other ; the parallelograms are identically equal. Let ABCD, EFGH be two parallelograms having the angle ABC equal to the angle EFG, and two adjoining... | |
 | Evan Wilhelm Evans - 1884 - 170 sider
...parallel to BC. M ANC = ACN = CAO. ANC = CBA + BAN. Complete the proof. 24. 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 in- B eluding the equal angles. See Theo. VII. BAC :... | |
 | Lewis Carroll - 1885 - 318 sider
...new. ' If two Parallelograms have two adjacent sides of the one respectively equal to two adjacent sides of the other, and likewise an angle of the one...other ; the Parallelograms are identically equal.' This might be a useful exercise to set ; but really it does not seem of sufficient importance to be... | |
 | William Kingdon Clifford - 1885 - 310 sider
...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... | |
 | William Chauvenet, William Elwood Byerly - 1887 - 331 sider
...B'C' A'B" hence AD BC A'D' X B'C' and we have ABC A' B' C' EXERCISE. Theorem. — 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. Suggestion. Let ADE and... | |
 | Benjamin Franklin Finkel - 1888 - 518 sider
...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... | |
 | Dalhousie University - 1888 - 212 sider
...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... | |
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Assuming that 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... 
