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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 ... - Page 292
by Euclid, John Playfair - 1846 - 317 pages
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Elements of Geometry: With Notes

John Radford Young - Euclid's Elements - 1827 - 246 pages
...in each triangle amounts to two right angles, therefore the angles of all the triangles are together equal to twice as many right angles as the figure has sides, that is to say, the sum of the angles of the polygon, together with those about the point within it,...
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Elements of the Geometry of Planes and Solids: With Four Plates

Ferdinand Rudolph Hassler - Geometry - 1828 - 180 pages
...angles, as AGD, GDE, and so on, standing in equal segments, are equal to one another; and their sum being equal to twice as many right angles as the figure has sides wanting four: that is, eight right angles, each of these angles of the hexagon is equal eight sixths of one right...
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The First Six Books of the Elements of Euclid, with a Commentary and ...

Euclid, Dionysius Lardner - Euclid's Elements - 1828 - 542 pages
...COR. 10. — All the internal angles of any rectilinear figure ABCDE, together with four right angles, are equal to twice as many right angles as the figure has sides. Take any point F within the figure, and draw the right, lines FA, FB, FC, FD, and F E. There are formed...
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The London encyclopaedia, or, Universal dictionary of science ..., Volume 10

Thomas Curtis (of Grove house sch, Islington) - 798 pages
...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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A London Encyclopaedia, Or Universal Dictionary of Science, Art ..., Volume 10

Thomas Curtis - Aeronautics - 1829 - 814 pages
...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 - Geometry - 1829 - 210 pages
...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 - Geometry - 1830 - 584 pages
...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 - Euclid's Elements - 1832 - 358 pages
...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 - Euclid's Elements - 1833 - 346 pages
...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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The First Six Books of the Elements of Euclid: With Notes

Euclid - Euclid's Elements - 1833 - 216 pages
...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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