| Mathematics - 1801 - 426 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
...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
...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 - 208 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 - 618 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 - 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, 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... | |
| 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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