 | Francis Joseph Grund - 1834 - 202 síður
...the angles which these radii make with each other at the centre, are all equal to one another. 30. The side of a regular hexagon inscribed in a circle, is equal to the radius of the circle. 31. If, from the centre of a circle, radii are drawn, bisecting the- sides of a regular inscribed polygon,... | |
 | Olinthus Gregory - 1834 - 484 síður
...B"=3 A D'. - s 44. A square inscribed in a circle, is equal to twice the square of the radius. 45. The side of a regular hexagon inscribed in a circle, is equal to the radius of the circle ; BE= B c. * 46. If two chords in a circle mutually intersect at right angles, the sum of the squares... | |
 | Thomas Holliday - 1838 - 404 síður
...eight, a nonagon of nine, a decagon of ten, an undecagon of eleven, and a duodecagon of twelve sides. 2. The side of a regular hexagon inscribed in a circle is equal to the radius of the circle. 3. Any regular polygon may be divided into as many isosceles triangles from the centre as it has sides.... | |
 | Enoch Lewis - 1844 - 240 síður
...same arcs, are likewise the tangents of the angle at A. ART. 26. It appears from cor. to 15.4, that the side of a regular hexagon, inscribed in a circle, is equal to the radius of the circle. But the side of a regular hexagon, inscribed in a circle, subtends an arc of 60°; hence the chord... | |
 | Nicholas Tillinghast - 1844 - 108 síður
...the sides including the equal angles proportional, are similar (B. VI. Def. 1). PROP. II. THEOREM. The side of a regular hexagon, inscribed in a circle, is equal to the radius of that circle. Let ABCDEF be a regular hexagon. Now since the arcs subtended by equal chords are equal,... | |
 | Nicholas Tillinghast - 1844 - 108 síður
...the sides including the equal angles proportional, are similar (B. VI. Def. 1). A' PROP. II. THEOREM. The side of a regular hexagon, inscribed in a circle, is equal to the radius of that circle. Let ABCDEF be a regular hexagon. Now since the arcs subtended by equal chords are equal,... | |
 | E. S. Norman Campbell - 1844 - 314 síður
...Polygon consisting of seven sides and angles. HEXAGON. A geometrical figure having six sides and angles. The side of a regular Hexagon inscribed in a circle, is equal to the radius of that circle. Hence, a regular Hexagon may be inscribed in a circle, by applying the radius six times... | |
 | Nicholas Tillinghast - 1844 - 110 síður
...the sides including the equal angles proportional, are similar (B. VI. Def. 1). PROP. II. THEOREM. The side of a regular hexagon, inscribed in a circle, is equal to the radius of that circle. Let ABCDEF be a regular hexagon. Now since the arcs -subtended by equal chords are equal,... | |
 | Nathan Scholfield - 1845 - 894 síður
...supposed to be drawn from b to d, bisects the vertical angle bed. PROPOSITION V. THEOREM. Tlte side o/ a regular hexagon inscribed in a circle is equal to the radius of (hat circle. Let ABCDEF be a regular hexagon inscribed in a circle, the centre of which is O, then... | |
 | Olinthus Gilbert Gregory - 1848 - 572 síður
...square of the diameter of the circle; that is, AP 2 -+- PB 2 -r PC"- + PD 5 = diam. 2 . (Fig. 49.) XLVI. The side of a regular hexagon inscribed in a circle, is equal to the radius of the circle. XLVIII. If the diameter PQ be divided into two parts at any point R, and if RS be drawn perpendicular... | |
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the side of a regular hexagon inscribed in a circle is equal to the radius of the circle 
