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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. "
Elementary Plane Geometry: Inductive and Deductive - Página 42
por Alfred Baker - 1903 - 144 páginas
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 páginas
...&c. QED CoR. 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 has sides. For any rectilineal figure ABCDE can be divided into as maay triangles as the figure has sides,...
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A Treatise on Surveying: In which the Theory and Practice are Fully ...

Samuel Alsop - 1865 - 440 páginas
...and B ABC + BAC + ACB = two right angles. (32.1.) 76. The interior angles of any rectilineal figure are equal to twice as many right angles as the figure has sides, diminished by four right angles. The interior angles of a quadrilateral are therefore equal...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 páginas
...angles. Cor. 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 has sides. Cor. 2. All the exterior angles of any rectilineal figure (made by producing the sides successively...
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Loftus's Inland Revenue Officers' Manual ...

William Harris Johnston - 1865 - 478 páginas
...demonstrated that, <> all the interior angles of any rectilinear figure, together with four right angles, are equal to twice as many right angles as the figure has sides." Hence, the sum of all the angles of a rectilinear figure will be found by taking twice as many...
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Elements of plane geometry, book i, containing nearly the same propositions ...

Euclides - 1865 - 80 páginas
...sides wanting four right angles. Let ABODE be any given rectilineal figure, all its interior angles are equal to twice as many right angles as the figure has sides wanting four right angles. From F, a point within the figure, draw the straight lines AF, BF,...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 426 páginas
...by the foregoing Corollary all the interior angles of the figure, together with four right angles, are equal to twice as many right angles as the figure has -sides. Therefore all the interior angles of the figure, together with all its exterior angles, are...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 páginas
...interior angles. But 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, that is. if ir be assumed to designate two right angles, •. nS + 2ir = nir, and n6 = nir —...
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Modern Methods in Elementary Geometry

E. M. Reynolds - 1868 - 172 páginas
...together equal to twice as many right "angles as the figure has sides. , Hence the interior angles are equal to twice as many right angles as the figure has sides, diminished by four right angles. COR. The exterior angle of any regular polygon of n sides is...
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Annual Report of the Commissioners ..., Volumen36

1870 - 848 páginas
...— 1. Show that 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. (12 marks). 2. Enunciate and prove the 32nd proposition of the First Book of Euclid's Elements....
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - 1871 - 302 páginas
...the point F, that is, together with four right angles (Prop. V., Cor. 2). Therefore the angles of the polygon are equal to twice as many right angles as the figure has sides, wanting four right angles. Cor. 1. The sum of the angles of a quadrilateral is foui right angles...
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