 | Euclides - 1884 - 434 pages
...stand each on an arc = four-sixths of the Oce , .-. these six angles are all equal. ///. 27 COR. — The side of a regular hexagon inscribed in a circle is equal to the radius. 1. If the points A, C, E be joined, A ACE is equilateral. 2. The area of an inscribed equilateral triangle... | |
 | George Bruce Halsted - Geometry - 1885 - 389 pages
...called the radius of a regular polygon. The radius of its inscribed circle is called its apothem. 437. The side of a regular hexagon inscribed in a circle is equal to the radius. For the sects from the center to the ends of a side make an isosceles triangle, one of whose angles... | |
 | Euclid, John Casey - Euclid's Elements - 1885 - 340 pages
...equal. Hence it is equiangular, and is therefore a regular hexagon inscribed in the circle. Cor. 1. — The side of a regular hexagon inscribed in a circle is equal to the radius. Cor. 2. — If three alternate, angles of a hexagon he joined, they form an inscribed equilateral triangle.... | |
 | George Bruce Halsted - Geometry - 1886 - 394 pages
...called the radius of a regular polygon. The radius of its inscribed circle is called its apothem. 437. The side of a regular hexagon inscribed in a circle is equal to the radius. For the sects from the center to the ends of a side make an isosceles triangle, one of whose angles... | |
 | Euclid - Geometry - 1892 - 460 pages
...is equiangular : .'. the hexagon is regular, and it is inscribed in the 0 ABDF. QEF COROLLARY. Tlw side of a regular hexagon inscribed in a circle is equal to the radius of the circle. PROPOSITION 1C. PROBLEM. To inscribe a regular quindecagon in a given circle. A Let ABCD... | |
 | Euclid, Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...equiangular ; .'. the hexagon ABCDEF is regular, and it is inscribed in the O ABDF. QEF COROLLARY. The side of a regular hexagon inscribed in a circle is equal to the radius of the circle. SUMMARY OF THE PROPOSITIONS OF BOOK IV. The following summary will assist the student in... | |
 | Metal-work - 1901 - 548 pages
...hexagon is equal to the radius of the circle. Thus, we have AB = FIG. 8. 8. From Art. 7 we see that the side of a regular hexagon inscribed in a circle is equal to the radius of the circle; and, therefore, the perimeter of the regular inscribed hexagon is equal to six times the... | |
 | International Correspondence Schools - Sheet-metal work - 1901 - 578 pages
...the radius of the circle. Thus, we have AB = BC^CD = DE =EF=FA= OA. 8. From«Art. 7 we see that the A side of a regular hexagon inscribed, in a circle is equal to the radius of the circle; and, therefore, the perimeter of the regular inscribed hexagon is equal to six times the... | |
 | Thomas Smith (D.D.) - Euclid's Elements - 1902 - 244 pages
...rough approximation to the ascertainment can be very easily made in various ways. As, for example, the side of a regular hexagon inscribed in a circle is equal to the radius of that circle. Its perimeter is therefore equal to six times the radius, or three times the diameter. But the circumference... | |
 | Euclid - Euclid's Elements - 1904 - 488 pages
...is equiangular; .-. the hexagon ABCDEF is regular, and it is inscribed in the 0 ABDF. QEF COROLLARY. The side of a, regular hexagon inscribed in a circle is equal to the radius of the circle. SUMMARY OF THE PROPOSITIONS OF BOOK IV. The following summary will assist the student in... | |
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The side of a regular hexagon inscribed in a circle is equal to the radius of the circle. 
