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" The side of a regular hexagon inscribed in a circle is equal to the radius of the circle. "
New Elementary Geometry: With Practical Applications : a Shorter Course Upon ... - Page 93
by Benjamin Greenleaf - 1874 - 176 pages
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Elements of Plane Geometry: For the Use of Schools

Nicholas Tillinghast - Geometry, Plane - 1844 - 96 pages
...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,...
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Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ...

Nathan Scholfield - 1845 - 896 pages
...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...
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General Report on Public Instruction, in the Lower Provinces of the Bengal ...

Bengal (India) - 1848 - 520 pages
...showing that the fraction ftrc is the measure of the angle subtended by the arc at the radius centre. 9. The side of a regular hexagon inscribed in a circle, is equal to the radius. Show also from having an inscribed regular polygon given, how to inscribe another in a circle, having...
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Mensuration, Mechanical Powers and Machinery: The Principles of Mensuration ...

Daniel Adams - Arithmetic - 1849 - 142 pages
...square. III. Add the squares together, and extract the square root of their sum. NOTE. The side of a hexagon inscribed in a circle is equal to the radius of the circle. EXAMPLES FOR PRACTICE. 1. The radius of a circle is 5 inches; what is the side of its inscribed octagon...
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Mensuration, Mechanical Powers, and Machinery: The Principles of Mensuration ...

Daniel Adams - Measurement - 1850 - 144 pages
...square. III. Add^the squares together, . and extract the square root of their sum* NOTE. The side of a hexagon inscribed in a circle is equal to the radius of the circle, EXAMPLES FOR PRACTICE. 1. The radius of a circle is 5 inches ; what is the side of its inscribed octagon?...
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Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ...

Euclides - 1861
...Л the hexagon is eq. lat. and eq. angular, and it is inscribed in 0 AC Е. Q. в. F.' Coв. 1. — The side of a regular hexagon inscribed in a circle is equal to the radius, or semi-diameter, of the circle ; or, in other words, ike chord of 60 is equal to the radius. DI...
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Elements of Geometry and Trigonometry: With Practical Applications

Benjamin Greenleaf - Geometry - 1862 - 520 pages
...inscribed square is to the radius as the square root of 2 is to unity. D PROPOSITION V. — THEOREM. 355. The side of a regular hexagon inscribed in a circle is equal to the radius of the circle. Let ABCDEF be a regular hexagon inscribed in a circle, the centre of which is 0 ; then any side, as BC,...
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Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - Geometry - 1861 - 628 pages
...inscribed square is to the radius as the square root of 2 is to unity. PKOPOSITION V. — THEOREM. 355. The side of a regular hexagon inscribed in a circle is equal to the radius of the circle. Let ABODE F bo a regular hexagon inscribed in a circle, the centre of which is 0 ; then any side, as BC,...
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Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - Geometry - 1862 - 514 pages
...equal to the radius of the circle. Let ABCDEF be a regular hexagon inscribed in a circle, the centre of which is O; then any side, as BC, will be equal to the radius OA. Join BO ; and the angle at the centre, A OB, is one sixth of four right angles (Prop. II. Sch....
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - Geometry - 1863 - 320 pages
...inscribed square is to the radius as the square root of 2 is to unity. PROPOSITION V. — THEOREM. 355. The side of a regular hexagon inscribed in a circle...hexagon inscribed in a circle, the center of which is 0 ; then any side, as BC, will be equal to the radius OA. Join B 0 ; and the angle at the centre, A...
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