 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 396 pages
...vertices of an inscribed rectangle enclose a rhombus. Ex. 737. Two parallelograms are similar when they have an angle of the one equal to an angle of the other, and the including sides proportional. Ex. 738. Two rectangles are similar if two adjacent sides are... | |
 | Arthur Schultze - 1901 - 260 pages
...vertices of an inscribed rectangle enclose a rhombus. Ex. 737. Two parallelograms are similar when they have an angle of the one equal to an angle of the other, and the including sides proportional. Ex. 738. Two rectangles are similar if two adjacent sides are... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1902 - 394 pages
...vertices of an inscribed rectangle enclose a rhombus. Ex. 737. Two parallelograms are similar when they have an angle of the one equal to an angle of the other, and the including sides proportional. Ex. 738. Two rectangles are similar if two adjacent sides are... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 394 pages
...vertices of an inscribed rectangle enclose a rhombus. Ex. 737. Two parallelograms are similar when they have an angle of the one equal to an angle of the other, and the including sides proportional. Ex. 738. Two rectangles ~are similar if two adjacent sides are... | |
 | Thomas Franklin Holgate - Geometry - 1901 - 462 pages
...same base and an equal altitude. (Art. 295.) PROPOSITION IV 308. The areas of two triangles having an angle of the one equal to an angle of the other are in the same ratio as the products of the sides containing the equal angles. BC Let BAC and B'AC' be... | |
 | George Albert Wentworth - Geometry, Solid - 1902 - 248 pages
...triangles are to each other as the products of their bases by their altitudes. 410. 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. 412. The areas of two similar polygons... | |
 | 1902 - 482 pages
...triangles of the same altitude are to one another as their bases. 5. Equal parallelograms which nave an angle of the one equal to an angle of the other, have their sides about those angles reciprocally proportional. 6. Describe a rectilineal figure which... | |
 | University of St. Andrews - 1903 - 762 pages
...three consecutive rays are given. 4. Define reciprocally proportional, and prove thai parallelograms which have an angle of the one equal to an angle of the other and their sides about the equal angles reciprocally proportional are equal in area. TP and TQ are tangents... | |
 | James McMahon - Geometry, Plane - 1903 - 382 pages
...[Show that the triangles are halves of mutually equiangular parallelograms. ] Ex. If two triangles have an angle of the one equal to an angle of the other, and if the including sides are respectively as 1 : 3 and 1 : 4, show that the first triangle is one... | |
 | George Albert Wentworth - Geometry - 1904 - 496 pages
...two angles of the other. BOOK III. PLANE GEOMETRY. PROPOSITION XVIII. THEOREM. 357. 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 AW, let ZA = ^ A',... | |
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Two triangles, which have an angle of the one equal to an angle of the other, and the sides containing those angles proportional, are similar. 
