| Isaac Todhunter - 1880 - 400 páginas
...together equal to two right angles. [Axiom 1. Wherefore, if a side of any triangle &c. <JE». COROLLARY **1. All the interior angles of any rectilineal figure,...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,... | |
| John Henry Robson - 1880
...problem is the sth Proposition of Euclid's Fourth Book. 12. By Euc. I. 32, Cor. 1, it is proved that " **All the Interior angles of any Rectilineal figure,..."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 . -.... | |
| Elizabethan club - 1880
...of the 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,...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... | |
| 1880 - 668 páginas
...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... | |
| Elias Loomis - 1880 - 452 páginas
...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 Mitchell Gillespie - 1880 - 570 páginas
...proposition of Geometry, that in any figure bounded by straight lines, the sum of all the interior angles is **equal to twice as many right angles, as the figure has sides** less two ; since the figure can be divided into that number of triangles. Hence this common rule. "... | |
| William Frothingham Bradbury - 1880 - 260 páginas
...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... | |
| Euclides - 1881 - 236 páginas
...ACB are equal (Ax. 1) to two right angles. Wherefore, if a side of any triangle be produced, &c. a ED **COR. 1. — All the interior angles of any rectilineal...twice as many right angles as the figure has sides.** Let ABCDE be any rectilineal figure. All the interior angles ABC, BCD, &c. together with four right... | |
| Thomas Newton Andrews - 1881 - 160 páginas
...setting off the angles at the base found thus: — In Euclid, Book I., Prop, xxxi11., it is proved that **"All the interior angles of any rectilineal figure,...twice as many right angles as the figure has sides."** If we have to describe a pentagon on the base AB, we must first calculate the angles at the base. Thus... | |
| Thomas Holloway (surveyor.) - 1881
...four-sided rectilineal figure is equal to four right angles or three hundred and sixty degrees. 3. **All the interior angles of any rectilineal figure,...twice as many right angles as the figure has sides.** Although further systems of proof could easily be quoted, I consider the foregoing quite sufficient... | |
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