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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. "
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... - Side 35
av Euclid - 1810 - 518 sider
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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879
...the angular points of a rectilineal figure to each of the others, that its interior angles together with four right angles are equal to twice as many right angles as the figures has sides. 3. The opposite sides and angles of parallelograms are equal to one another. A quadrilateral...
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Scientific and practical geometry for self-instruction

Rolla Rouse - 1879
...40 ... ... ... ... ... 103 The exterior and interior angles of an rectilineal figure, are together equal to twice as many right angles as the figure has sides, 41 ... 104 „ angles are together equal to four right angles, 42 ... ... ... ... „ The interior...
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A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - 1879 - 36 sider
...produced to meet, the angles formed by these lines, together with eight right angles, are together equal to twice as many right angles as the figure has sides. Same proposition. ABC is a triangle right-angled at A, and the angle B is double of the angle C. Show...
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - 1879 - 266 sider
...But ACD+ACB = 2R; BAC+ABC+ACB = 2R. Corollary 1.—All the interior angles of a polygon are together equal to' twice as many right angles as the figure has sides, minus four right angles. Let ABODE be a polygon, and let n represent the number of its sides. Draw...
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - 1880 - 443 sider
...the figure has sides. Let ABCDE be any polygon ; then all its interior angles A, B, C, D, E, together with four right angles, are equal to twice as many right angles as the figure has sides. For, from any point, F, within it, draw lines FA, FB, FC, etc., to all the angles. The polygon is thus divided...
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An elementary treatise on geometrical drawing

John Henry Robson - 1880
...Euc. I. 32, Cor. 1, it is proved 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." If, therefore, we suppose the polygon to have n sides, All its interior angles + 4.90 .= 272.90 . -....
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Examination papers, and division lists, &c. [afterw.] General certificate of ...

Oxford univ, local exams - 1880
...a straight line placed in a circle. 2. 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. 3. If the square described on one side of a triangle be equal to the squares described on the other...
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Nature, Volum 21

Sir Norman Lockyer - 1880
...angle we may take Theorem XXVI. of the syllabus, that the interior angles of any polygon, together with four right angles, are equal to twice as many right angles as the figure has sides. In the new notation we would say that the sum of the interior angles of the polygon is equal to a number...
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(Report).

Elizabethan club - 1880
...other point, and similarly of the obtuse angles. 3. All the angles of a rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides. A floor has to be laid with tiles in the form of regular figures all equal and similar ; show what...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 400 sider
...of any triangle &c. <JE». COROLLARY 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 side*. For any rectilineal figure ABCDE can be divided into as many triangles as the figure has sides,...
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