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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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Mathematics: Compiled from the Best Authors and Intended to be the ..., Τόμος 1

1801 - 426 σελίδες
...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...

A Course of Mathematics ...: Composed for the Use of the Royal Military ...

Charles Hutton - 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...

A Course of Mathematics: In Two Volumes : for the Use of Academies ..., Τόμος 1

Charles Hutton - 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...

Elements of Geometry

Adrien Marie Legendre - 1819 - 208 σελίδες
...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...

A Treatise on Practical Gauging

Anthony Nesbit, W. Little - 1822
...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...

A Course of Mathematics: For the Use of Academies, as Well as Private ...

Charles Hutton - 1822
...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...

The New Practical Builder and Workman's Companion, Containing a Full Display ...

Peter Nicholson - 1823 - 596 σελίδες
...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...

Elements of Geometry

Adrien Marie Legendre - 1825 - 224 σελίδες
...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...

Elements of Geometry...: Translated from the French for the Use of the ...

Adrien Marie Legendre, John Farrar - 1825 - 224 σελίδες
...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...

ELEMENTS OF GEOMETRY UPON THE INDUCTIVE METHOD.

JAMES HAYWARD - 1829
...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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