| George Washington Hull - Geometry - 1897 - 408 pages
...thirds of the area of the regular hexagon inscribed in the circle. 816. The area of an inscribed regular **hexagon is a mean proportional between the areas of...inscribed and circumscribed equilateral triangles.** 317. The square inscribed in a semicircle is equivalent to two fifths of the square inscribed in the... | |
| James Howard Gore - Geometry - 1898 - 232 pages
...inscribed hexagon = - V3. §3 3. Find the area of a square inscribed in a circle whose radius is 6. 4. **Show that the area of a regular inscribed hexagon is a mean proportional between the areas of** an inscribed, and of a circumscribed, equilateral triangle. PROPOSITION IX. THEOREM. 304. The area... | |
| Webster Wells - Geometry - 1898 - 282 pages
...(Prove, by aid of § 164, that a O can be inscribed in FGHKL ; then use Ex. 7, p. 198.) E" - "D 25. **The area of a regular inscribed hexagon is a mean proportional between the areas of** an inscribed, and of a circumscribed equilateral triangle. (Prove, by aid of Exs. 8, 10, and 11, p.... | |
| Webster Wells - Geometry - 1899 - 450 pages
...pentagon. A (Prove, by aid of § 164, that a O can be inscribed in FGHKL ; then use Ex. 7, p. 198.) 25. **The area of a regular inscribed hexagon is a mean proportional between the areas of** an inscribed, and of a circumscribed equilateral triangle. (Prove, by aid of Exs. 8, 10, and 11, p.... | |
| Wooster Woodruff Beman, David Eugene Smith - Geometry - 1899 - 416 pages
...circumference in C, D ; draw CD, DB, BC, and prove A BCD equilateral. 444. The area of an inscribed regular **hexagon is a mean proportional between the areas of...inscribed and circumscribed equilateral triangles.** 445. Show how, with compasses alone, to divide a circumference into six equal arcs. 446. Prove that... | |
| Charles Austin Hobbs - Geometry, Plane - 1899 - 240 pages
...equal to one half the area of the inscribed regular hexagon. Ex. 659. The area of an inscribed regular **hexagon is a mean proportional between the areas of...inscribed and circumscribed equilateral triangles.** Proposition 217. Theorem. 254. The area of a circle is equal to one half the product of its circumference... | |
| Webster Wells - Geometry - 1899 - 424 pages
...pentagon. (Prove, by aid of § 164, that a 0 can be inscribed in FGHKL ; then use Ex. 7, p. 198.) E" "D 25. **The area of a regular inscribed hexagon is a mean proportional between the areas of** an inscribed, and of a circumscribed equilateral triangle. (Prove, by aid of Exs. 8, 10, and 11, p.... | |
| Wooster Woodruff Beman, David Eugene Smith - Geometry, Modern - 1899 - 272 pages
...circumference in C, D; draw CD, DB, BC, and prove A BCD equilateral. 444. The area of an inscribed regular **hexagon is a mean proportional between the areas of...inscribed and circumscribed equilateral triangles.** 445. Show how, with compasses alone, to divide a circumference into six equal arcs. 446. Prove that... | |
| James Howard Gore - Geometry - 1899 - 266 pages
...the perimeter and area of a regular pentagon whose apothem is 8. 4. The area of an inscribed regular **hexagon is a mean proportional between the areas of the inscribed and** the circumscribed equilateral triangles. 5. The area of an inscribed regular octagon is equal to that... | |
| Arthur Schultze - 1901 - 260 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... | |
| |