 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1902 - 394 pages
...pentagon divide each other into extreme and mean ratio. Ex. 941. The area of a regular inscribed hexagon is a mean proportional between the areas of the inscribed and circumscribed equilateral triangles. Ex. 942. Any radius of a regular polygon bisects an angle of the polygon. Ex. 943. The diagonals drawn... | |
 | Edward Brooks - Geometry, Modern - 1901 - 278 pages
...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 the inscribed and circumscribed equilateral triangles. 18. The square of the side of an equilateral triangle inscribed in a circle is three times the square... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 396 pages
...pentagon divide each other into extreme and mean ratio. Ex. 941. The area of a regular inscribed hexagon is a mean proportional between the areas of the inscribed and circumscribed equilateral triangles. Ex. 942. Any radius of a regular polygon bisects an angle of the polygon. Ex. 943. The diagonals drawn... | |
 | Arthur Schultze - 1901 - 392 pages
...pentagon divide each other into extreme and mean ratio. Ex. 941. The area of a regular inscribed hexagon is a mean proportional between the areas of the inscribed and circumscribed equilateral triangles. Ex. 942. Any radius of a regular polygon bisects an angle of the polygon. Ex. 943. The diagonals drawn... | |
 | Arthur Schultze - 1901 - 260 pages
...pentagon divide each other into extreme and mean ratio. Ex. 941. The area of a regular inscribed hexagon is a mean proportional between the areas of the inscribed and circumscribed equilateral triangles. Ex. 942. Any radius of a regular polygon bisects an angle of the polygon. Ex. 943. The diagonals drawn... | |
 | Isaac Newton Failor - Geometry - 1906 - 431 pages
...intersection are the vertices of a regular polygon. 1062 The area of the inscribed regular hexagon is the mean proportional between the areas of the inscribed and circumscribed equilateral triangles. • 1063 Two diagonals of a regular hexagon, not drawn from the same vertex, are parallel or perpendicular... | |
 | Daniel Alexander Murray - 1906 - 466 pages
...the triangle is equal to the square of half the base. 15. (a) Show that the area of a regular polygon inscribed in a circle is a mean proportional between the areas of an inscribed and circumscribing polygon of half the number of sides. (6) The sides of a triangle are... | |
 | Isaac Newton Failor - Geometry - 1906 - 440 pages
...intersection are the vertices of a regular polygon. 1062 The area of the inscribed regular hexagon is the mean proportional between the areas of the inscribed and circumscribed equilateral triangles. 1063 Two diagonals of a regular hexagon, not drawn from the same vertex, are parallel or perpendicular... | |
 | Elmer Adelbert Lyman - Geometry - 1908 - 364 pages
...another hexagon. Compare the areas of the two hexagons. 23. The area of an inscribed regular hexagon is a mean proportional between the areas of the inscribed and circumscribed equilateral triangles. 24. Join the alternate vertices of any regular polygon and show that a similar polygon is thus formed.... | |
 | Daniel Alexander Murray - Plane trigonometry - 1908 - 358 pages
...the triangle is equal to the square of half the base. 15. (a) Show that the area of a regular polygon inscribed in a circle is a mean proportional between the areas of an inscribed and circumscribing polygon of half the number of sides. (6) The sides of a triangle are... | |
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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. 
