Prove that the area of an inscribed regular hexagon is a mean proportional between the areas of the inscribed and the circumscribed equilateral triangles. Plane Geometry - Page 243by Edward Rutledge Robbins - 1906 - 254 pagesFull view - About this book
| George Albert Wentworth - Geometry, Modern - 1899 - 272 pages
...area of the circumscribed regular hexagon. Ex. 458. The area of an inscribed regular hexagon is the **mean proportional between the areas of the inscribed and the circumscribed equilateral triangles.** Ex. 459. The square of the side of an inscribed equilateral triangle is equal to three times the square... | |
| George Albert Wentworth - Geometry - 1899 - 500 pages
...area of the circumscribed regular hexagon. Ex. 458. The area of an inscribed regular hexagon is the **mean proportional between the areas of the inscribed and the circumscribed equilateral triangles.** Ex. 459. The square of the side of an inscribed equilateral triangle is equal to three times the square... | |
| Edward Brooks - 1901 - 278 pages
...each of its sides will cut off 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 the inscribed and** circumscribed equilateral triangles. 18. The square of the side of an equilateral triangle inscribed... | |
| Alan Sanders - Geometry, Modern - 1901 - 260 pages
...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...inscribed and the circumscribed equilateral triangles.** [See Ex. to Prop. 6.] 6. The diagonals joining the alternate vertices of a regular hexagon form by... | |
| Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 396 pages
...regular 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... | |
| Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 394 pages
...regular 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... | |
| Arthur Schultze, Frank Louis Sevenoak - Geometry - 1902 - 394 pages
...regular 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... | |
| Arthur Schultze - 1901 - 260 pages
...regular 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... | |
| Alan Sanders - Geometry - 1903 - 396 pages
...concentric circles the radii of which are a and b respectively. 5. The area of a regular inscribed **hexagon is a mean proportional between the areas of...inscribed and the circumscribed equilateral triangles.** [See Ex. to Prop. 0.] 6. The diagonals joining the alternate vertices of a regular hexagon form by... | |
| George Albert Wentworth - Geometry - 1904 - 496 pages
...area of the circumscribed regular hexagon. Ex. 458. The area of an inscribed regular hexagon is the **mean proportional between the areas of the inscribed and the circumscribed equilateral triangles.** Ex. 459. The square of the side of an inscribed equilateral triangle is equal to three times the square... | |
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