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Therefore all the interior angles of the figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Euclid's Elements of Geometry: The Six First Books. To which are Added ... - Σελίδα 40
των Euclid, Rev. John Allen - 1822 - 494 σελίδες
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## Plane trigonometry. [With] Solutions of examples. Appendix &c., to adapt the ...

...Cor. 1, that ' 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.' Hence if и be the number of sides of any rectilineal figure, we have the sum of its n angles + 4 x...

## Fortification for officers of the army and students of military history

sir Henry Yule - 1851
...polygon may be found from the property of such figures, that the sum of the angles of any polygon is equal to twice as many right angles as the figure has sides, less four. The following technical terms require explanation : — A Salient Angle is one directed...

## Elements of Geometry and Trigonometry: With Applications in Mensuration

Charles Davies - 1886 - 324 σελίδες
...triangles is equal to two right angles (Th. xvii) : hence, the sum of the angles of all the triangles is equal to twice as many right angles as the figure has sides. But the sum of all the angles about the point P is equal to four right angles (Th. ii. Cor. 4) ; and since...

## The Elements of Euclid [book 1] for beginners, by J. Lowres

Euclides - 1852
...base. COB. 3. 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. COB. 4. All the exterior angles of any rectilineal figure are together equal to four right angles....

## The popular educator, Τόμοι 1-2;Τόμος 5

Popular educator - 1852
...angles. Thus, in the polygon AB c DE, fig. 18, all the interior angles ABC, BCD, c DE, DBA, and • AB, are, together, equal to twice as many right angles as the figure hat sides, wanting four right an gits ; for this figure hai proof of this is very evident, for, by...

## The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852
...1. All the interior angles of any rectilinear figure, BOOK I. together with four right angles, are equal to twice as many right angles as the figure has sides. For any rectilinear figure ABODE can be divided into as many triangles as the figure has sides, by...

## ELEMENTS OF GEOMETRY AND TRIGONOMETRY

A. M. LEGENDRE - 1852
...triangles in the figure ; that is, as many times as there are sides, less two. But this product is equal to twice as many right angles as the figure has sides, less four right angles. Cor. 1. The sum of the interior angles in a quadrilateral, is equal to two...

## The Elements of Euclid: With Many Additional Propositions ..., Μέρος 1

Euclid - 1853 - 136 σελίδες
...right angles as the figure has sides; but the internal angles, together with four right angles, are equal to twice as many right angles as the figure has sides (6); take away from both the internal angles, and the external angles remain, equal to four right angles...

## The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 147 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. Сод. 2. All the exterior angles of any rectilineal figure are together equal to four right ,ingles....

## The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853
...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. COK. 2. — All the exterior angles of any rectilineal figure are together equal to four right angles....