| Arthur Schultze, Frank Louis Sevenoak - 1901 - 370 pagina’s
...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 - 233 pagina’s
...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 - 1902 - 370 pagina’s
...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 - 1901 - 370 pagina’s
...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 - 1901 - 440 pagina’s
...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 - 1902 - 218 pagina’s
...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
...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
...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 - 1903 - 358 pagina’s
...[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 - 1904 - 473 pagina’s
...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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