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" The area of a regular inscribed hexagon is a mean proportional between the areas of the inscribed and circumscribed equilateral triangles. "
Elements of Plane and Solid Geometry - Page 221
by George Albert Wentworth - 1877 - 398 pages
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Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1902 - 394 pages
...Ex. 940. The diagonals of a regular pentagon divide each other into extreme and mean ratio. Ex. 941. The area of a regular inscribed hexagon is a mean...inscribed and circumscribed equilateral triangles. Ex. 942. Any radius of a regular polygon bisects an angle of the polygon. Ex. 943. The diagonals drawn...
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Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 396 pages
...Ex. 940. The diagonals of a regular pentagon divide each other into extreme and mean ratio. Ex. 941. The area of a regular inscribed hexagon is a mean...inscribed and circumscribed equilateral triangles. Ex. 942. Any radius of a regular polygon bisects an angle of the polygon. Ex. 943. The diagonals drawn...
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Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 394 pages
...Ex. 940. The diagonals of a regular pentagon divide each other into extreme and mean ratio. Ex. 941. The area of a regular inscribed hexagon is a mean...inscribed and circumscribed equilateral triangles. Ex. 842. Any radius of a regular polygon bisects an angle of the polygon. Ex. 943. The diagonals drawn...
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Elements of Plane Geometry

Alan Sanders - Geometry, Modern - 1901 - 260 pages
...between the circumferences of two concentric circles the radii of which are a and & respectively. 5. The area of a regular inscribed hexagon is a mean...proportional between the areas of the inscribed and the circumscribed equilateral triangles. [See Ex. to Prop. 6.] 6. The diagonals joining the alternate...
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Plane Geometry

Edward Brooks - 1901 - 278 pages
...one-fourth part of the diameter drawn through the opposite angle. 17. The area of an inscribed regular hexagon is a mean proportional between the areas of...inscribed and circumscribed equilateral triangles. 18. The square of the side of an equilateral triangle inscribed in a circle is three times the square...
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Elements of Plane and Solid Geometry

Alan Sanders - Geometry - 1903 - 384 pages
...between the circumferences of two concentric circles the radii of which are a and b respectively. 6. The area of a regular inscribed hexagon is a mean...proportional between the areas of the inscribed and the circumscribed equilateral triangles. [See Ex. to Prop. 6.] 6. The diagonals joining the alternate...
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Plane Geometry

Fletcher Durell - Geometry, Plane - 1904 - 382 pages
...regular inscribed hexagon is three -fourths the area of the regular circumscribed hexagon. Ex. 19. The area of a regular inscribed hexagon is a mean proportional between the areas of a regular inscribed and a regular circumscribed triangle. [Stio. On a figure similar to that of Prop....
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Plane and Solid Geometry

Fletcher Durell - Geometry - 1911 - 553 pages
...a regular inscribed hexagon is three-fourths the area of the regular circumscribed hexagon. Ex. 19. The area of a regular inscribed hexagon is a mean proportional between the areas of a regular inscribed and a regular circumscribed triangle. [SuG. On a figure similar to that of Prop....
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Plane Geometry

Edward Rutledge Robbins - Geometry, Plane - 1906 - 268 pages
...(A) The area of the circumscribed regular hexagon. 63. Prove that the area of an inscribed regular hexagon is a mean proportional between the areas of the inscribed and the circumscribed equilateral triangles. [Find the three areas in terms of -R.] 64. AB is one side...
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Plane and Solid Geometry

Edward Rutledge Robbins - Geometry - 1907 - 412 pages
...(A) The area of the circumscribed regular hexagon. 63. Prove that the area of an inscribed regular hexagon is a mean proportional between the areas of the inscribed and the circumscribed equilateral triangles. [Find the three areas in terms of R.'] 64. AB is one side...
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