 | 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 as 2:3:4; show... | |
 | Daniel Alexander Murray - Plane trigonometry - 1911 - 158 pages
...""— . Write two similar formulas coS2" involving b, c. 9. (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 Bides, (b) The sides of a triangle are as 2:3:4; show... | |
 | Education - 1914 - 914 pages
...emptied by a pipe 6 inches in diameter thru which the water runs at the rate of 17 miles an hour? 7. The area of a regular hexagon inscribed in a circle is a mean proportional between the areas of the inscribed and circumscribed equilateral triangles, — Prove 8. Plot the loci of the equations,... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Algebra - 1916 - 280 pages
...and the upper base is £ the lower base. Find the two bases and the altitude if the area is 52^-. 19. The area of a regular hexagon inscribed in a circle is a. Find the radius of the circle. 20. One edge of a rectangular box is increased 6 inches, another 3 inches,... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Algebra - 1917 - 674 pages
...аш! the upper base is \ the lower base. Find the two bases and the altitude if the area is 52^. 19. The area of a regular hexagon inscribed in a circle is a. Find the radius of the circle. 20. One edge of a rectangular box is increased 6 inches, another 3 inches,... | |
 | Mabel Sykes, Clarence Elmer Comstock - Geometry, Modern - 1918 - 344 pages
...equilateral triangle is half the area of the regular hexagon inscribed in the same circle. 4. Show that the area of a regular hexagon inscribed in a circle is a mean proportional between the areas of the inscribed and circumscribed equilateral triangles. 5. The central angle of a regular octagon is... | |
 | Military Academy, West Point - 906 pages
...whose side a! (Wt. 12.) Inches. (El plain construction clearly, no proof required.) No.. 9.— Theorem: The area of a regular hexagon Inscribed in a circle is a mean proportion»! bet-were » are» of the (Wt. 12.) Inscribed and circumscribed equilateral triangles.... | |
 | 220 pages
...in a circle is f that of a square described about the same circle. 7. The area of a regular octagon inscribed in a circle is a mean proportional between the areas of the inscribed and circumscribed squares of the same circle. 8. Each of three equal circles of radius... | |
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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. 
