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Books Bücher 1 - 10 von 58 in add up to twice as many Right angles as the figure has sides, less four.
" add up to twice as many Right angles as the figure has sides, less four. "
The Harmony of the World - Seite 41
von Johannes Kepler - 1997 - 549 Seiten
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Elements of geometry: Being chiefly a selection from Playfair's geometry

John Playfair - 1829 - 186 Seiten
...(n—2) x 2r, that is, all the interior angles of any convex rectilineal figure are together equal to twice as many right angles as the figure has sides less two sides. " Es. PROPOSITION M. THEOREM. All the exterior angles of any convex rectilineal figure,...
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Lessons on form; or, Introduction to geometry as given in a Pestalozzian ...

Charles Reiner - 1837
...vertex of these triangles = 4 rt. /.s; therefore, the sum 01 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 sum of...
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Elements of Plane Geometry: For the Use of Schools

Nicholas Tillinghast - 1844 - 96 Seiten
...regular polygons, having the same number of sides. The sum of all the angles in each figure is equal to twice as many right angles as the figure has sides, less four right angles (BI A ( Prop. 13), and as the number of sides is the same in each figure, the sum of all...
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Elements of Plane Geometry: For the Use of Schools

Nicholas Tillinghast - 1844 - 96 Seiten
...regular polygons, having the same number of sides. The sum of all the angles in each figure is equal to twice as many right angles as the figure has sides, less four right angles (BI Prop. 13), and as the nunrher of sides is the same in each figure, the sum of all...
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Elements of Plane Geometry: For the Use of Schools

Nicholas Tillinghast - 1844 - 96 Seiten
...polygons, having the same number of sides. The sum of all the angles in each figure is equal Fig. 88. to twice as many right angles as the figure has sides, less four right angles (BI A ( Prop. 13), and as the number of sides is the same in each figure, the sum of all...
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Fortification for officers of the army and students of military history

Henry Yule (sir.) - 1851
...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 outwards; a...
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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 right angles...
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Elements of Geometry, Plane and Spherical Trigonometry and Conic Sections

Horatio Nelson Robinson - 1854 - 335 Seiten
...angles about the point P : take these away, and the sum of the interior angles of the figure is equal to twice as many right angles as the figure has sides less four right angles. QED From this principle we can deduce the following rule to find the sum of the interior...
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Elements of Geometry and Trigonometry: From the Works of A.M. Legendre ...

Charles Davies, Adrien Marie Legendre - 1854 - 432 Seiten
...twice as many right angles as the polygon has sides. Again, the sum of all the interior angles is equal to twice as many right angles as the figure has sides, less four right angles (P. 26). Hence, the interior angles plus four right angles, is equal to twice as many...
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The Field Practice of Laying Out Circular Curves for Railroads

John Cresson Trautwine - 1856 - 72 Seiten
...together all the internal angles, marked by dotted segments of circles; and subtract their sum from twice as many right angles as the figure has sides, less four, for the angle db e. Example.—Let the angles denoted by the dotted segments at the different letters...
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