| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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 . -.... | |
| 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... | |
| 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... | |
| 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,... | |
| 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... | |
| 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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