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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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The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 176 páginas
...together with four right angles. 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. Сод. 2. All the exterior angles of any rectilineal figure are together equal to four right...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 páginas
...together with four right angles. 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. COK. 2. — All the exterior angles of any rectilineal figure are together equal to four right...
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The Elements of Euclid: With Many Additional Propositions ..., Parte1

Euclid - 1853 - 176 páginas
...There are formed as many triangles as the figure has sides, therefore all their angles taken together are equal to twice as many right angles as the figure has sides (a) ; but the angles at the point F are together equal to four right angles (4), therefore all...
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The popular educator, Volúmenes5-6;Volumen8

Popular educator - 1854 - 922 páginas
...divide it into three equal parts. *"'t 3Fig. .42. No. 3. interior angles together with four right angles are equal to twice as many right angles as the figure has sides. Therefore all the interior angles together with all the exterior angles are equal (Ax. 1) to...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 270 páginas
...angles, and there are as many triangles in the figure as it has sides, all the angles of these triangles are equal to twice as many right angles as the figure has sides. But all the angles of these triangles are equal to the interior angles of the figure, viz. ABС,...
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Elementary text book for young surveyors and levellers

Henry James Castle - 1856 - 220 páginas
...angles are the exterior angles of an irregular polygon ; and as the sum of all the interior angles are equal to twice as many right angles, as the figure has sides, wanting four ; and as the sum of all the exterior, together with all the interior angles, are...
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The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856 - 168 páginas
...EUCLID I. 32, Cor. 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 rectilinear figure ABCDE (Fig. 10) can be divided into as many triangles as the figure...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 200 páginas
...superposition. 3. Prove that all the internal angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides; and that all the external angles are together equal to four right angles. In what sense are...
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Elements of Geometry and Conic Sections

Elias Loomis - 1858 - 256 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 four right angles...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 380 páginas
...two right angles, (l. 13.) therefore all the interior angles, together with all the exterior angles, are equal to twice as many right angles as the figure has sides ; but it has been proved by the foregoing corollary, that all the interior angles together with...
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