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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.
Elements of Geometry: Containing the First Six Books of Euclid : with a ... - Side 288
av John Playfair - 1837 - 318 sider
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## The London encyclopaedia, or, Universal dictionary of science, art ..., Volum 10

Thomas Curtis (of Grove house sch, Islington)
...twice u_. 118 119 m.iti) right angles as the figure has sides. Hence (he interior angles of the figure are equal to twice as many right angles as the figure has sides wanting four right angles. Car. I. All the interior angle* of a quadrilateral figure are together equal to four...
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## The London Encyclopaedia: Or, Universal Dictionary of Science, Art ..., Volum 10

Thomas Curtis - 1829
...figure В С DE ; and the interior angles of that figure, together with four right angles, being also equal to twice as many right angles as the figure has sides (Theorem XX.), the angles of the triangles are equal to the interior angles of the plane figure and...
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## Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry

John Playfair - 1829 - 186 sider
...xr = (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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## Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - 1830 - 272 sider
...is equal to two right angles (2.) ; all the interior angles, together with all the exterior angles, are equal to twice as many right angles as the figure has angles. But all the exterior angles are, by the former part of the proposition, equal to four right...
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## Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1832 - 333 sider
...and the exterior being equal to four right angles, the interior are equal to two right angles. COB. 2. An exterior angle of any triangle is equal to the...straight lines, which make with a third line the interior ancles on the same side of it less than two right angles, will meet on that side, if produced far enough....
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## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1833 - 333 sider
...wanting four. For all the smiles exterior and interior are equal to twice as many right angles as th» figure has sides; but the exterior are equal to four...equal to twice as many right an>gles as the figure baa sides, wanting four. PROP. II. Two straight lines, which make with a third line the interior angles...
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## Geometry Without Axioms; Or the First Book of Euclid's Elements. With ...

Thomas Perronet Thompson - 1833 - 150 sider
...isf equal to two right angles ; all the interior together with all the exterior angles of the figure, are equal to twice as many right angles as the figure has sides. But (by Cor. 1 .) all the interior angles are together equal to twice as many right angles as the figure'...
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## The First Six Books of the Elements of Euclid: With Notes

Euclid - 1833 - 183 sider
...to four right angles (2); and therefore the angles of the figure, together with four right angles, are equal to twice as many right angles as the figure has sides. Cor. 7. The external angles of any rectilineal figure are together equal to four right angles. For...
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## Inductive Geometry, Or, An Analysis of the Relations of Form and Magnitude ...

Charles Bonnycastle - 1834 - 631 sider
...expressed as the following proposition : "The interior angles of any closed plane figure are together equal to twice as many right angles as the figure has sides, minus four right angles." 206. And as a second application of the principle in question, or, which...
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## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1835 - 316 sider
...by -f of one right angle. PROP. XXVI. THEOR. All the interior angles of any rectilineal figure, art equal to twice as many right angles as the figure has sides, wanting four right angles. For any rectilineal figure ABCDE can be divided into as many triangles as the figure...
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