| Mathematics - 1801 - 446 pages
...the sides of the latter. 63. Similar figures are those, that have all the angles of »ne equal to all the angles of the other, each to each, and the sides about the equal angles proportional. ,64. The perimeter of a figure is the sum of ail its sides, taken together. • -' • * 65. A proposition... | |
| Charles Hutton - Mathematics - 1811 - 406 pages
...and the same figure. 70. Similar figures, are those that have all the angles of the one equal to all the angles of the other, each to each, and the sides about the equal angles proportional. 7-1. The Perimeter of a figure, is the sum of all its sides taken together. 72. A Proposition, is something... | |
| Charles Hutton - Mathematics - 1816 - 610 pages
...and the same figure. 70. Similar figures, are those that have all the angles of the one equal to all the angles of the other, each to each, and the sides about the equal angles proportional. 71. The Perimeter of a figure, is the sum of all its sides taken together. 72. A Proposition, is something... | |
| Adrien Marie Legendre - Geometry - 1819 - 574 pages
...equal to the three sides of the other, each to each, are also equal. 162. Two figures are similar, which have the angles of the one equal to the angles of the other, each to each, and the homologous sides proportional. By homologous sides are to be understood those, which have the same... | |
| Anthony Nesbit, W. Little - Measurement - 1822 - 916 pages
...the angles of the other. 54. Similar figures are such as have all the angles of One> «q««l to all the angles of the other, each to each ; and the sides about the equal angles proportional. 55. A Proposition is something proposed cither to be done, or to be demonstrated ; and is either a... | |
| Charles Hutton - Mathematics - 1822 - 616 pages
...figure. 70. Similar figures, are those that have all the angles of the one equal to all the angles »f the other, each to each, and the sides about the equal angles proportional. 71. The Perimeter of a figure, is the sum of all its sides taken together. 72. A Proposition, is something... | |
| Peter Nicholson - Architecture - 1823 - 210 pages
...which adjoin equal angles, are homologous. 135. Two figures are similar, when the angles of the one are equal to the angles of the other, each to each, and the homologous sides are proportionals. 136. In two CIRCLES, similar sectors, similar arcs, or similar... | |
| Adrien Marie Legendre, John Farrar - Geometry - 1825 - 280 pages
...equal to the three sides of the other, each to each, are also equal. 162. Two figures are similar, which have the angles of the one equal to the angles of the other, each to each, and the homologous sides proportional. By homologous sides are to be understood those, which have the same... | |
| Adrien Marie Legendre - Geometry - 1825 - 276 pages
...equal to the three sides of the other, each to each, are also equal. 162. Two figures are similar, which have the angles of the one equal to the angles of the other, each to each, and the homologous sides proportional. By homologous sides are to be understood those, which have the same... | |
| James Hayward - Geometry - 1829 - 228 pages
...corresponding dimensions of the field. Hence we have the general truth—Two similar rectilinear figures have the angles of the one equal to the angles of the other, each to each, and all homologous lines proportional. 93. Remark. If diagonals were drawn through corresponding vertices... | |
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