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" 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. "
Elements of Geometry, Plane and Spherical: With Numerous Practical Problems - Σελίδα 128
των Horatio Nelson Robinson - 1868 - 262 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

The principles of architecture, Τόμος 1

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...

Elements of Geometry

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...

Elements of Geometry...: Translated from the French for the Use of 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...

Elements of Geometry

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...

Elements of Geometry and Trigonometry: With Notes

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...

Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

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.)...

Civil Architecture, Or, A Complete Theoretical and Practical System of ...

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...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

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...

Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ...

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.)...

Elements of Geometry and Trigonometry

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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