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... figure, together with four right angles, are equal to twice as many right angles as the figure has be divided into as many triangles as the figure has sides, by drawing straight lines from a point F within the figure to each of its angles.
The elements of plane geometry; or, The first six books of Euclid, ed. by W ... - Σελίδα 21
των Euclides - 1863
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## Elements of Geometry and Trigonometry Translated from the French of A.M ...

Charles Davies - 1849 - 384 σελίδες
...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 Let the sides of the polygon...

## Minutes ...: Correspondence, Financial Statements, Etc., and ..., Τόμος 2

Great Britain. Committee on Education - 1850 - 914 σελίδες
...Section.) Section I. 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. 2. If the square described upon one side of a triangle be equal to the sum of the squares described...

## Reports on Elementary schools

Her MAjesty' Inspectors of schools - 1850 - 912 σελίδες
...Section.) Section I. 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. 2. If the square described upon one side of a triangle be equal to the sum of the squares described...

## The Church of England quarterly review, Τόμος 28

1850 - 524 σελίδες
...proposition that all the interior angles of any rectilinear figure, together with four right angles, are equal to twice as many right angles as the figure has sides : and the dictum is equally true, too, in moral science — only in any particular case to dogmatize...

## Elementary Geometry: With Applications in Mensuration

Charles Davies - 1850 - 218 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. 3) ; and...

## Elementary Geometry: With Applications in Mensuration

Charles Davies - 1850 - 236 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. 3) ; and...

## A Manual of Surveying for India, Detailing the Mode of Operations on the ...

Sir Henry Edward Landor Thuillier - 1851 - 828 σελίδες
...drawing straight lines from a point F within the figure to each of its angles. And, by this Theorem, all the angles of these triangles are equal to twice as many right angles as there are triangles, that is, as there are sides of the figure : and the same angles are equal to the...

## Plane trigonometry. [With] Solutions of examples. Appendix &c., to adapt the ...

John William Colenso (bp. of Natal.) - 1851 - 382 σελίδες
...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...

## An Epitome of Navigation and Nautical Astronomy, with Improved Lunar Tables ...

Janet Taylor - 1851 - 702 σελίδες
...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,...

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

sir Henry Yule - 1851 - 282 σελίδες
...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...