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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 sidef. For any rectilineal figure ABCDE can be divided into as many triangles as the figure has sides, by drawing... "
The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... - Side 35
av Robert Simson - 1806 - 518 sider
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 400 sider
...right angles. [Axiom 1. Wherefore, if a side of any triangle Sic. QBD EUCLID'S ELEMENTS. COROLLARY 1. All the interior angles of any rectilineal figure,...equal to twice as many right angles as the figure has side?. For any rectilineal figure ABODE can be divided into as many triangles as the figure has sides,...
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Syllabus of plane geometry, books 1-3, corresponding to Euclid, books 1-4 ...

Mathematical association - 1883
...triangle the two acute angles are complementary. THEOR. 26. All the interior angles of any convex polygon together with four right angles are equal to twice as many right angles as the polygon has sides. THEOR. 27. The exterior angles of any convex polygon made by producing the sides...
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Geometry for schools, comprising books i. and ii. of Euclid, with some ...

Euclides - 1883 - 96 sider
...the base and from one another. COB. l.— The sum of the interior angles of any rectilineal figure is equal to twice as many right angles as the figure has sides, minus four right angles. Take any rectilineal figure, as ABCDEF, and take G, any point within it. Join...
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Woolwich mathematical papers [aftwerw.] Mathematical papers for admission ...

Woolwich roy. military acad - 1884
...the given line, shew how to draw the perpendicular without producing the given line. 1. Prove that all the interior angles of any rectilineal figure,...twice as many right angles as the figure has sides. There are two regular polygons, the number of sides of one is double the number of sides of the other,...
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Questions and exercises in elementary mathematics

Palaestra Oxoniensis - 1884
...made by any number of straight lines meeting in a point are together equal to four right angles. (б) All the interior angles of any rectilineal figure...twice as many right angles as the figure has sides. (6) All the exterior angles of any rectilineal figure are together equal to four right angles. (7)...
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The text of Euclid's geometry, book 1, uniformly and systematically arranged ...

Euclides - 1884
...right angles. Axiom 1. Therefore, if a side of any triangle &c. QED COROLLARY I. TO PROPOSITION XXXII. All the interior angles of any rectilineal figure,...twice as many right angles as the figure has sides. Any rectilineal figure can be divided into as many triangles as the figure has sides, by drawing straight...
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Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884
...vertex of the triangles; that is, together with four right angles. Therefore all the angles of the figure, together with four right angles, are equal...twice as many right angles as the figure has sides. XXXIII. — The straight lines which join the extremities of two equal and parallel straight lines,...
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An introduction to geometry, consisting of Euclid's Elements, book ..., Volum 1

Euclides - 1884
...triangles are equal to twice as many right angles as the figure has sides. Therefore all the angles of the figure, together with four right angles, are equal...twice as many right angles as the figure has sides. QED EXERCISE XXXVIII. 1. If a figure be a pentagon, or five-sided, how many right angles make twice...
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The elements of plane geometry, Volum 1

Mathematical association - 1884
...triangles make up the interior angles of the polygon, therefore the interior angles of the polygon together with four right angles are equal to twice as many right angles as the polygon has sides. QED Ex. 45. Prove Theor. 26 by joining one angular point of the polygon to all the...
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The Elements of Plane Geometry ...

Association for the improvement of geometrical teaching - 1884
...equal to the angles formed by the second pair. THEOR. 36. All the interior angles of any convex polygon together with four right angles are equal to twice as many right angles as the polygon has sides. Let ABCDE be any convex polygon : A then shall all the interior angles of ABCDE...
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