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" All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides. "
Elements of Geometry and Trigonometry: With Applications in Mensuration - Σελίδα 33
των Charles Davies - 1886 - 324 σελίδες
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The Elements of geometry [Euclid book 1-3] in general terms, with notes &c ...

Euclides - 1833 - 304 σελίδες
...= to two right angles, (prop. 13.) Therefore, all the external angles, with all the internal, are = to twice as many right angles as the figure has sides ; but the internal angles, with four right angles, are = to twice as many right angles as the figure has sides;...

Geometry Without Axioms; Or the First Book of Euclid's Elements. With ...

Thomas Perronet Thompson - 1833 - 168 σελίδες
...severally capable of being so divided. And because the interior angles of each of such smaller figures are equal to twice as many right angles as the figure has sides, diminished by four right angles, (or, which is the same thing, to twice as many right angles as the...

Inductive Geometry, Or, An Analysis of the Relations of Form and Magnitude ...

Charles Bonnycastle - 1834 - 670 σελίδες
...expressed as the following proposition : "The interior angles of any closed plane figure are together equal to twice as many right angles as the figure has sides, minus four right angles." 206. And as a second application of the principle in question, or, which...

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

1835 - 684 σελίδες
...together equal to four right angles ; and the sum of its interior angles, together with four right angles, is equal to twice as many right angles as the figure has sides . . . 15 (c) The area of a rectilineal figure may be obtained by dividing it into triangles, having...

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 σελίδες
...QED COR. 1. All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides. For any rectilineal figure ABCDE can be divided into as many triangles as the figure has sides, by...

The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 488 σελίδες
...triangle are equal to two right angles. Сон. 1. All the interior angles of any rectilineal figure are equal to twice as many right angles as the figure has sides, wanting four right angles» 2. All the exterior angles of any rectilineal figure are to. gether equal...

The Element of Geometry

John Playfair - 1836 - 148 σελίδες
...with four right angles. Therefore all the angles of the figure, together with four right angles, are equal to twice as many right angles as the figure has sides. COR. II. All the exterior angles of any rectilineal figure are together equal to four right angles....

Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1837 - 332 σελίδες
...many right angles as the figure has sides, wanting four. For all the angles exterior and interior are equal to twice as many right angles as the figure has sides ; but the exterior are equal to four right angles ; therefore the interior are equal to twice as many right angles...

Elements of Geometry and Trigonometry

Adrien Marie Legendre - 1837 - 376 σελίδες
...equal to two right angles, taken as many times, less two, as the polygon has sides (Prop. XXVI.) ; that is, equal to twice as many right angles as the figure has sides, wanting four right angles. Hence, the interior angles plus four right angles, is equal to twice as...

Lessons on Form: Or, An Introduction to Geometry, as Given in a Pestalozzian ...

Charles Reiner - 1837 - 246 σελίδες
...common vertex of these triangles = 4 rt. /.s; therefore, the sum or the interior angles of any polygon is equal to twice as many right angles as the figure has sides less {minus] four. -M. — If the number of sides be three, four, five, six, seven, &c., what is the...




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