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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.
A Popular Course of Pure and Mixed Mathematics ...: With Tables of ... - الصفحة 181
بواسطة Peter Nicholson - 1825 - عدد الصفحات: 372
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## A complete set of male pupil teachers' examination questions in Euclid [book ...

1879 - عدد الصفحات: 36
...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 - عدد الصفحات: 266
...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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## 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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## (Report).

Elizabethan club - 1880
...acute angles at the other point, and similarly of the obtuse angles. 3. All the angles of a rectilineal figure, together with four right angles, are equal...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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## An elementary treatise on geometrical drawing

John Henry Robson - 1880
...Fourth Book. 12. By Euc. I. 32, Cor. 1, it is proved that " All the Interior angles of any Rectilineal figure, "together with four right angles, are equal..."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 circle, and by a straight line placed in a circle. 2. All the interior angles of any rectilineal figure, together with four right angles, are equal...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, المجلد 21

Sir Norman Lockyer - 1880
...the flat 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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## The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - عدد الصفحات: 400
...Wherefore, if a side 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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## Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - 1880 - عدد الصفحات: 443
...is the complement of the other. PROPOSITION XXVIII. THEOREM. All the interior angles of a polygon, together with four right angles, are equal to twice as many right angles as the figure IMS sides. Let ABCDE be any polygon ; then all its interior angles A, B, C, D, E, together with four...
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## An Elementary Geometry: Plane, Solid and Spherical

William Frothingham Bradbury - 1880 - عدد الصفحات: 240
...minus two. Let ABCDEF be the given polygon ; the sum of all the interior angles A, B, C, D, E, F, is equal to twice as many right angles as the figure has sides minus two. For if from any vertex A, diagonals AC, AD, AE, are drawn, the polygon will be divided into...
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