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" ... twice as many right angles as the figure has sides. "
Geometry Without Axioms; Or the First Book of Euclid's Elements. With ... - Page 103
by Thomas Perronet Thompson - 1833 - 150 pages
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 372 pages
...interior angle ABC, with itę adjacent exterior ABD, is equal (13. 1.) to two right angles ; therefore all the interior together with all the exterior angles...figure, are equal to twice as many right angles as there are sides of the figure j that is, by the foregoing corollary, they are equal to all the interior...
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Elements of Arithmetic, Algebra, and Geometry

George Lees - 1826 - 266 pages
...has sides, are equal to all the angles of the figure, together with four right angles ; that is, the angles of the figure are equal to twice as many right angles, as the figure has sides wanting four. PROP. XIII. THEOREM. If two triangles, BAG, EOF, have two angles, BAG, ABC, and a side...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...interior angle ABC, with its adjaeent exterior ABD, is equal ( 13. t.) to two right angles; therefore all the interior, together with all the exterior angles of the figure, are equal to twiee as many right angles as there are sides of the figure ; that is, by the foregoing eorollary,...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 513 pages
...interior angle ABC, with its adjacent * 13. 1. exterior ABD, is equal * to two right angles; therefore all the interior, together with all the exterior angles...figure, are equal to twice as many right angles as there are sides of the figure; that is, by the foregoing corollary, they are equal to all the interior...
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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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The First Six Books of the Elements of Euclid, with a Commentary and ...

Euclid, Dionysius Lardner - Euclid's Elements - 1828 - 544 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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Elements of the Geometry of Planes and Solids: With Four Plates

Ferdinand Rudolph Hassler - Electronic book - 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...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - Geometry - 1829 - 516 pages
...interior angle ABC, with its adjacent exterior ABD, is equal (13. 1.) to two right angles; therefore all the interior, together with all the exterior angles...the figure, are equal to twice as many right angles asthere D — . are sides of the figure ; that is, by ^ -\ ' the foregoing corollary, they are equal...
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A London Encyclopaedia, Or Universal Dictionary of Science, Art ..., Volume 10

Thomas Curtis - Aeronautics - 1829 - 814 pages
...angles), are equal to twice as 118 119 липу right angles as the figure has sides. Hence the interior angles of the figure are equal to twice as many right angles as the figure has sides wanting four right angles. Cor. 1. All the interior angles of a quadrilateral figure are together equal...
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Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry

John Playfair - Geometry - 1829 - 186 pages
...angles (Prop. 13); and because there are as many exterior or interior angles as the figure has sides; all the interior together with all the exterior angles of the figure are equal to twice — > -fQ as many right angles as there are sides of the figure. But all the interior angles together...
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