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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. "
Elements of Geometry: With, Practical Applications - Σελίδα 96
των George Roberts Perkins - 1850 - 320 σελίδες
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Elements of Geometry Upon the Inductive Method: To which is Added an ...

James Hayward - 1829 - 172 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...

The London Encyclopaedia: Or, Universal Dictionary of Science, Art ..., Τόμος 10

Thomas Curtis - 1829
...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....

A Dictionary of the Military Science: Containing an Explanation of the ...

E. S. Norman Campbell - 1830 - 284 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...

Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - 1830 - 272 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.)....

The Mechanic's Calculator, Or Workman's Memorial Book ...

William Grier - 1832 - 300 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...

Library of Useful Knowledge: Geometry, plane, solid, and spherical [by ...

1835
...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.)....

Elements of Geometry and Trigonometry

Adrien Marie Legendre - 1836 - 359 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...

The Mechanic's Calculator: Comprehending Principles

William Grier - 1836 - 344 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...

Elements of Geometry and Trigonometry

Adrien Marie Legendre - 1838 - 359 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...

First Lessons in Geometry: With Practical Applications in Mensuration, and ...

Charles Davies - 1840 - 252 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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