 | Euclides - 1885 - 340 síður
...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 ke joined, they form an inscribed equilateral triangle.... | |
 | Euclid, John Casey - 1885 - 340 síður
...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.... | |
 | Euclid, Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 330 síður
...is 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 remembering... | |
 | 1901 - 548 síður
...Hence, the perimeter of a polygon inscribed in a circle is less than the circumference of the circle. 7. The side of a regular hexagon inscribed in a circle is equal to the radius of t lie circle. EOF, and FOA is an equilateral triangle, and, therefore, each of the sides of the hexagon... | |
 | Euclid - 1904 - 488 síður
...is 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 remembering... | |
 | Joseph Claudel - 1906 - 758 síður
...c of a square inscribed in a circle of radius R is equal to V2fl(695). c : R = V2 : 1 and c = R V2. The side of a regular hexagon inscribed in a circle is equal to the radius of the circle. The side c of an equilateral triangle inscribed in a circle of radius R is equal to V3 R. c : R = \/3... | |
 | International Correspondence Schools - 1906 - 634 síður
...Applying formula of Art. 71, = W- 67 in - Ans c = 3.1416 X 10.67 = 33.52 in. Ans. (c) The length of the side of a regular hexagon inscribed in a circle is equal to the radius, — : — = 5.335 in. Ans. (6) The volume of the shell is equal to the difference in the volume of... | |
 | Marshman Edward Wadsworth - 1909 - 450 síður
...one. The reason is shown by a simple trigonometric operation. See Fig. 209. From Geometry we know that the side of a regular hexagon inscribed in a circle is equal to the radius of that circle. This makes the side (d) of the hexagon and the two radii (b and g) equal. Since, then,... | |
 | Joseph Victor Collins - 1911 - 330 síður
...on the hypotenuse of a right triangle equals the sum of the squares on the other two sides. 21. One side of a regular hexagon inscribed in a circle is equal to the radius. 22. One side of a regular decagon inscribed in a circle of radius r is x in the proportion r_ _ x xr... | |
 | 1911 - 192 síður
...triangles, similar each to each and similarly placed. 6. Prove that the side of an equilateral triangle inscribed in a circle is equal to the radius of the circle multiplied by \/3~. 7. If the bisectors of the interior angle at C and the exterior angle at B of the... | |
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the side of a regular hexagon inscribed in a circle is equal to the radius of the circle 
