| Peter Nicholson - 1809 - 426 σελίδες
...describe two arcs intersecting each other at F. 2. From B, draw BC perpendicular, and divide the arc AC into as many equal parts as the polygon is to have sides. 3. Through the second division D, draw BG, make FE equal to FD, and through E, draw AG, meeting BG... | |
| Adrien Marie Legendre - 1819 - 574 σελίδες
...to inscribe a regular polygon of a certain number of sides in a given circle, it is only necessary to divide the circumference into as many equal parts as the polygon has sides ; for, the arcs being equal, the chords AE, BC, CD, &c. (fig. 158), will be equal ; .the... | |
| Adrien Marie Legendre, John Farrar - 1825 - 280 σελίδες
...to inscribe a regular polygon of a certain number of sides in a given circle, it is only necessary to divide the circumference into as many equal parts as the polygon has sides; for, the arcs being equal, the chords AB, BC, CD, 8tc. (Jig. 158), will be equal; the triangles... | |
| Adrien Marie Legendre - 1825 - 276 σελίδες
...to inscribe a regular polygon of a certain number of sides in a given circle, it is only necessary to •divide the circumference into as many equal parts as the polygon has sides; for, the arcs being equal, the chords AB, BC, CD, fac. (fig. 158), will be equal; the triangles... | |
| Adrien Marie Legendre - 1828 - 346 σελίδες
...polygon's sides. 268. Scholium 2. To inscribe a regular polygon of a certain number of sides in a given circle, we have only to divide the circumference into as many equal parts as the polygon has sides : for the arcs being equal (see the diagram of 271.) the chords AB, BC, CD, Sic. will also... | |
| Pierce Morton - 1830 - 584 σελίδες
...circumscribed about the circle, viz. by dividing the circumference (or conceiving it to be divided) into as many equal parts as the polygon is to have sides, and drawing tangents through the points of division. Then, because the area of the polygon is equal (29.)... | |
| Edward Shaw - 1832 - 402 σελίδες
...two arcs, intersecting each other at F. 2. From B, draw В С perpendicular, and divide the arc А С into as many equal parts as the polygon is to have sides. 3. Through the second division D, draw BG, make FE equal to FD, and through E, draw AG, meeting BG... | |
| John Playfair - 1835 - 336 σελίδες
...number of the polygon's sides. 2. To inscribe a regular polygon of a certain number of sides in a given circle, we have only to divide the circumference into as many equal parts as the polygon has sides : for the arcs being equal (see fig. Prop. XV. B. 4.), the chords AB, BC, CD, <fec. will... | |
| 1835 - 684 σελίδες
...circumscribed about the circle, viz. bv dividing the circumference (or conceiving it to be divided) into as many equal parts as the polygon is to have sides, and drawing tangents through the points of division. Then, because the area of the polygon is equal (29.)... | |
| Adrien Marie Legendre - 1836 - 394 σελίδες
...of the polygon. E Scholium 2, To inscribe a regular polygon of a certain number of sides in a given circle, we have only to divide the circumference into as many equal parts as the polygon has sides : for the arcs being equal, the chords AB, BC, CD, &c. will also be equal ; hence likewise... | |
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