 | James Hayward - 1829 - 218 σελίδες
...dimensions of the field. Hence we have the general truth — Two similar rectilinear figures have the ?i? - angles of the one equal to the angles of the other, each to j each, and all homologous lines proportional. -'• 93. Remark. If diagonals were drawn through corresponding... | |
 | Thomas Curtis - 1829 - 814 σελίδες
...the latter. Fig. 28. 52. 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 these angles proportional. 53. The PERIMETER OF A FIGURE is the sum of all it« sides taken together.... | |
 | E. S. Norman Campbell - 1830 - 304 σελίδες
...attack, &c. SIMILAR POLYGONS. In Geometry are those which 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. SINE. A right sine in Geometry, is a right line drawn from one end of an arch perpendicularly upon... | |
 | Pierce Morton - 1830 - 584 σελίδες
...(he parallelepiped), as, for instance, A a, will bisect EF ; because the triangles AEG, a FG having the angles of the one equal to the angles of the other, each to each (I. 15.), and the side AE equal to the side a F, the side EG is likewise equal to the side FG (I. 5.).... | |
 | William Grier - 1832 - 366 σελίδες
...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... | |
 | 1835 - 684 σελίδες
...the parallelepiped ), as, for instance, A a, will bisect EF ; because the triangles AEG, a FG having the angles of the one equal to the angles of the other, each to each (I. 15.), and the side AE equal to the side a F, the side EG is likewise equal to the side FG (I. 5.).... | |
 | Adrien Marie Legendre - 1836 - 394 σελίδες
...number of times. BOOK IV. OF THE PROPORTIONS OF FIGURES, AND THE MEASUREMENT OF AREAS. Definitions. 1. Similar' figures are those which have the angles of...and the sides about the equal angles proportional. 2. Any two sides, or any two angles, which have like positions in two similar figures, are called homologous... | |
 | William Grier - 1836 - 384 σελίδες
...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 - 1838 - 382 σελίδες
...AND THE MEASUREM6NT OF AREAS. Definitions. 1. Similar figures are those which have the angles of th- one equal to the angles of the other, each to each,...and the sides about the equal angles proportional. 2. Any two sides, or any two angles, which have like positions in two similar figures, are called homologous... | |
 | Charles Davies - 1840 - 264 σελίδες
...we have also angle A =B= C=D =E. PART I. SECTION VII. 41 Properties of Polygons. 2. Similar polygons are those which have the angles of the one equal to...and the sides about the equal angles proportional. Hence, similar polygons are alike in shape, but may differ in size. The sides which are like situated... | |
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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. 
