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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.
The papers set at the professional preliminary examination - Page 10
by College of preceptors - 1882

The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848
...angles ; and the three ulterior angles of every triangle are together equal to two right angles. COR. 1. All the interior angles of any rectilineal figure...twice as many right angles as the figure has sides. COB. 2. All the exterior angles of any rectilineal figure, made by producing the sides successively...

The first three books of Euclid's Elements of geometry, with theorems and ...

Euclides, Thomas Tate - 1849 - 108 pages
...angles CBA, BAC, ACB are equal to two right angles. Wherefore if a D side of a triangle, &c. QED COR. 1. All the interior angles of any rectilineal figure,...twice as many right angles as the figure has sides. For any rectilineal figure ABODE can be divided into as many triangles as the figure has sides, by...

Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1849 - 226 pages
...(Prop. XXVII., BI), that is, as there are sides of the polygon BCDEF. Also, the angles of the polygon, together with four right angles, are equal to twice as many right angles as the figure has sides (Prop. XXVIII., BI); hence all the angles of the triangles are equal to all the angles of the polygon,...

Elements of Geometry and Trigonometry Translated from the French of A.M ...

Charles Davies - Trigonometry - 1849 - 359 pages
...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 of the Committee of Council on Education, with Appendices, Volume 2

...thickness. GEOMETRY AND TRIGONOMETRY. (One Question is only to be answered in each Section.) Section I. 1. All the interior angles of any rectilineal figure,...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

...ring. GEOMETRY AND TRIGONOMETRY. (One Question is only to be answered in each Section.) Section I. 1. All the interior angles of any rectilineal figure,...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, Volume 28

1850
...revelation could supersede the reasoning of the proposition that all the interior angles of any rectilinear figure, together with four right angles, are equal...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 DAVIS, L.L. D. - 1850
...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 - Geometry - 1850 - 216 pages
...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 ...

Ralph Smyth, Sir Henry Edward Landor Thuillier - Surveying - 1851 - 718 pages
...passing through the other end. In the 3rd Cor. Theor. V., (page 12,) it is stated and proved, " that all the interior angles of any rectilineal figure,...twice as many right angles as the figure has sides" or in other words that — In any rectilineal figure, the sum of all the interior angles, is equal...