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" ... twice as many right angles as the figure has sides ; therefore all the angles of the figure together with four right angles, are equal to twice as many right angles as the figure has sides. "
The Elements of Euclid, containing the first six books, with a selection of ... - Side 32
av Euclides - 1874
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 199 sider
...angles. Wherefore, if a side of a triangle, &c. QED COB. 1. All the interior angles of any rectilineal figure, together with four right angles, are equal...twice as many right angles as the figure has sides. the angles of these triangles are equal to twice as many right angles as there are triangles, that...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 544 sider
...if a side of any triangle be produced, &c. . QED COR. 1. All the interior angles of any rectilineal figure together with four right angles, are equal...twice as many right angles as the figure has sides. For any rectilineal figure ABCDE can be divided into as many triangles as the figure has sides, by...
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1845 - 382 sider
...as there are triangles ; that is, as there are sides in the figure BCDEF ; and that (I. 32, cor. 1) all the angles of the figure, together with four right angles, are likewise equal to twice as many right angles as there are sides in the figure ; therefore all the angles...
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Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ...

Nathan Scholfield - 1845 - 894 sider
...two right angles, taken as many times, less two, as the polygon has sides (Prop. XXVIII.) ; 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 angles, is equal to twice as...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 sider
...angles. Wherefore, If a side of a triangle %c. QEU COR. 1. All the interior angles of any rectilineal figure, together with four right angles, are equal...twice as many right angles as the figure has sides. For any rectilineal figure ABCDE can be divided into as many triangles as the figure has sides, by...
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Euclid's Elements: Or, Second Lessons in Geometry,in the Order of Simson's ...

Dennis M'Curdy - 1846 - 168 sider
...ax. 2 ! (4) p. 27; (c) p. 13. (e)p.29; Cor. 1. All the interior angles of any rectilineal figure and four right angles, are equal to twice as many right angles as the figure has sides. For, about a point within the figure, as many triangles may be formed as the figure has sides, each...
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Euclid's Elements of geometry, the first three books (the fourth, fifth, and ...

Euclides - 1846 - 272 sider
...internal, are equal to twice as many right angles, as there are sides of the figure ; but the internal with four right angles, are equal to twice as many right angles as there are sides of the figure (by Cor. 6) ; take away from both the internal angles, and the external...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1846 - 332 sider
...angles as there are triangles (32. 1.) ; that is, as there are sides in the figure BCDEF ; and because all the angles of the figure, together with four right angles, are likewise equal to twice as many right angles as there are sidesinthefigure(lcr. 32. 1. ^therefore all...
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The English Journal of Education, Volum 1

1847 - 508 sider
...paid off? OEOMETBY AND TRIGOSO1IETBY. SECTION I. — 1. All the interior angles of any rectilineal figure, together with four right angles, are equal...twice as many right angles as the figure has sides. 2. Equal triangles, upon equal bases in the same straight line, and towards the same parts, are between...
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Minutes of the Committee of Council on Education, Volum 1

Great Britain. Committee on Education - 1847
...debt be paid off? GEOMETRY AND TRIGONOMETRY. 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 hag sides. 2. Equal triangles, upon equal bases in the same straight line, and towards the same parts,...
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