| Euclid, John Bascombe Lock - Euclid's Elements - 1892 - 167 pages
...an isosceles triangle. LE 8 118. Corollary 1. All the interior angles of a closed rectilineal figwe **together with four right angles are equal to twice as many right angles as the figure has** sides. Let ABCDE... represent any rectilineal figure. Take a point P within the figure. Join P to each... | |
| S. L. Loney - 1893
...regular decagon. The corollary to Eue. I. 32 states that all the interior angles of any rectilinear **figure together with four right angles are equal to twice as many right angles as the figure has** sides. Let the angle of a decagon contain x right angles, so that all the angles are together equal... | |
| Great Britain. Education Department. Department of Science and Art - 1894
...to BC ; show that AE is equal to AD. (12.) 9. Show 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. A five sided figure has four equal angles, and the fifth angle equals a half of one of the four... | |
| Queensland. Department of Public Instruction - Education - 1897
...the triangles are equal in all respects. 3. Show that all the interior angles of any rectilineal 7 **figure, together with four right angles, are equal to twice as many right angles as the figure has** sides. 4. Parallelograms on equal bases, and between the 18 same parallels, are equal in area. 5. The... | |
| James Howard Gore - Geometry - 1898 - 210 pages
...exterior angles is equal to twice as many right angles as the figure has sides. But by (125) the interior **angles are equal to twice as many right angles as the figure has** sides, less four right angles. Therefore the exterior angles alone are equal to four right angles.... | |
| Sidney Herbert Wells - Machine design - 1900
...depends upon Corollary I. of Euclid i., 32, which says that " the interior angles of any straight lined **figure together with four right angles are equal to twice as many right angles as the figure has** sides." The most common of the regular polygons used in engineering designs are the pentagon (five-sided),... | |
| Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 304 pages
...Robert Simson, who edited Euclid's text in 1756. 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** sides. Let ABODE be any rectilineal figure. Take F, any point within it, and join F to each of the... | |
| 1903
...only one. So also of questions 3 and 3 A.] 1. Show 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. A BCD is a quadrilateral figure, and the angles at A, B, C and D are bisected. Straight lines... | |
| Alfred Baker - Geometry - 1903 - 144 pages
...From the result reached in the previous question, show that all the interior angles of any polygon **are equal to twice as many right angles as the figure has** angles (or sides), less four right angles. 5. How many right angles is the sum of all the angles in... | |
| Caleb Pamely - 1904
...tested by Euclid, for, " The sum of all the interior angles of any rectilinear figure, together with 4 **right angles, are equal to twice as many right angles as the figure has** sides." This is not so thorough a test as the plotting, because it checks only the angles taken and... | |
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