 | Elias Loomis - 1858 - 256 σελίδες
...to a rectangle, &c. 3. Similar figures are such as have the angles of the one equal to the angles of the other, each to each, and the sides about the equal angles proportional. Sides which have the same position in the two figures, or which are adjacent to equal angles, are called... | |
 | William E. Bell - 1857 - 250 σελίδες
...in all their parts. (Ax. 13.) 32. Similar polygons hare the angles of the one equal to the angles of the other, each to each, and the sides about the equal angles proportional. 33. Homologous sides and homologous angles are those which have like positions in similar polygons.... | |
 | Charles Haynes Haswell - 1858 - 350 σελίδες
...off by a plane, parallel to the base. A Frustrum is the part remaining after the segment is cut off. The Perimeter of a figure is the sum of all its sides. A Problem is something proposed to be done. A I'ostulate is something required. A Theorem is something... | |
 | Anthony Nesbit - 1859 - 494 σελίδες
...The perimeter of a figure is the sum of all its sides taken together. 53. A proposition is something proposed to be done, or to be demonstrated ; and is either a problem or a theorem. 54. A problem is something proposed to be done, and requires construction. 55. A theorem is something... | |
 | William E. Bell - 1859 - 226 σελίδες
...in all their parts. (Ax. 13.) 32. Similar polygons have the angles of the one equal to the angles of the other, each to each, and the sides about the equal angles proportional. 33. Homologous sides and homologous angles are those which have like positions in similar polygons.... | |
 | Frederick Augustus Griffiths - 1859 - 426 σελίδες
...plane figures bounded by more than four sides. A regular polygon has all its sides, and angles equal. The perimeter of a figure is the sum of all its sides. To bisect — is to divide into two equal parts. To trisect— is to divide into three equal parts.... | |
 | Horatio Nelson Robinson - 1860 - 470 σελίδες
...self-evident truth, not only too simple to require, but too simple to admit of, demonstration. 56. A Proposition is something which is either proposed...demonstrated, and is either a problem or a theorem. 57. A Problem is something proposed to be done. 58. A Theorem is something proposed to be demonstrated.... | |
 | Charles Hutton - 1860 - 1020 σελίδες
...ur«. 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 pro portional. 71. The Perimeter of a figure, is the sum of all its sides taken together. 72. A Proposition,... | |
 | Horatio Nelson Robinson - 1868 - 276 σελίδες
...but too simple to admit of, demonstration. 56. A Proposition is something which is either pro posed to be done, or to be demonstrated, and is either a problem or a theorem. 57. A Problem is something proposed to be done. 58. A Theorem is something proposed to be demonetrated.... | |
 | Elias Loomis - 1871 - 302 σελίδες
...to a rectangle, &c. 3. Similar figures are such as have the angles of the one equal to the angles of the other, each to each, and the sides about the equal angles proportional. Sides which have the same position in the two figures, or which are adjacent to equal angles, are called... | |
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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. 
