| Royal Military Academy, Woolwich - Mathematics - 1853
...CBA, BAC, ACB, are equal to two right angles. Wherefore, if a side of a triangle, etc. QED COR. 1. **All the interior angles of any rectilineal figure,...with four right angles, are equal to twice as many** D right angles as the figure has sides. E.«=^lT"\~~-^, \ 4C-\ For any rectilineal figure ABCDE can... | |
| Euclid - Geometry - 1853 - 136 pages
...6, 12, 24, &c., equal parts. COROLLARY 7. All the internal angles of any rectilineal figure (ABCDE), **together with four right angles, are equal to twice as many right angles as the figure has sides.** DEMONSTRATION. Take any point F within the figure, and draw the straight lines FA, FB, FC, FD, FE.... | |
| Euclides - Geometry - 1853
...the angles of the polygon together with four right angles. But all the angles of the polygon GHKLM **together with four right angles are equal to twice as many right angles as the** polygon has sides (i. 32. Cor. i), that is, as there are plane angles constituting the solid angle... | |
| William Somerville Orr - Science - 1854
...angles of the triangle are = two right angles, .'. if a side of a triangle, &c. QED Сов. 1. — **All the interior angles of any rectilineal figure, together with four right angles, are** = twice as many right angles as the figure has sides. For, any rectilineal figure ABODE can be divided... | |
| Popular educator - 1854
...tiungles are equal to twice as many right anales as the figure has sides. Therefore all the angles of the **figure together with four right angles are equal to twice as many right** ung'es as the figure has sides. Corollary 2. All the exterior angles of any rectilineal figure, made... | |
| E.W. Beans - 1854
...taken. If the entire survey has been made as above directed, the sum of all the internal angles will be **equal to twice as many right angles as the figure has sides,** diminished by four right angles. If this sum, as in practice will be likely to be the case, should... | |
| Charles Davies - Geometry - 1854 - 432 pages
...triangles in the figure ; that is, as many times as there are sides, less two. But this product is **equal to twice as many right angles as the figure has sides,** less four right angles. Cor. 1. The sum of the interior angles in a quadrilateral is equal to two right... | |
| Euclides - 1855
...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 to...twice as many right angles as the figure has sides.** СOR. 2. — All the exterior angles of any rectilineal figure, made by producing the sides successively... | |
| Isaac Sharpless - Geometry - 1879 - 266 pages
...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... | |
| W J. Dickinson - Geometry - 1879 - 36 pages
...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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