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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.
Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ... - Página 29
por Euclides - 1860
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## A Manual of Surveying for India, Detailing the Mode of Operations on the ...

Ralph Smyth, Sir Henry Edward Landor Thuillier - 1851 - 718 páginas
...figure, together with the angles at the point F, which is the common vertex of the triangles ; that is, together with four right angles. Therefore all the...twice as many right angles as the figure has sides. Cor. 4. All the exterior angles of any rectilineal figure are together equal to four right angles....
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## Plane trigonometry. [With] Solutions of examples

...required. 15. It appears, from Euc. I. 32, Cor. 1, that ' all the interior angles of any rectilineal figure, together with four right angles, are equal...twice as many right angles as the figure has sides.' Hence if n be the number of sides of any rectilineal figure, we have the sum of its n angles +4 x 90°=...
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## An Epitome of Navigation and Nautical Astronomy, with Improved Lunar Tables ...

Janet Taylor - 1851 - 621 páginas
...being the two angles made by cne line meeting another. The sum of all the outward and inward angles, is equal to twice as many right angles as the figure has sides; but the sum of all the inward angles is equal to twice as man1 right angles as the figure has sides,...
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## 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...
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## The Elements of Euclid [book 1] for beginners, by J. Lowres

Euclides - 1852
...end of the produced line to the end of the base. COB. 3. All the interior angles of any rectilineal figure, together with four right angles, are equal...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....
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## The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852
...that is a , together with four right angles. . 2 Cor Therefore all the angles of the figure, XT - *• together with four right angles, are equal to twice as many right angles as the figure has sides. [The triangle furnishes an instance of this, for all its angles are together equal to two right angles;...
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## Elements of Geometry and Trigonometry: With Applications in Mensuration

Charles Davies - 1886 - 324 páginas
...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...
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## 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...
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## The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 147 páginas
...and the same angles are equal to the angles of the figure, together with the angles at the point f, which is the common vertex of the triangles : that...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....
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## The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853
...and the same angles are equal to the angles of the figure, together with the angles at the point F, which is the common vertex of the triangles; that...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....
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