Books Books 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 243
by Edward Rutledge Robbins - 1906 - 254 pages ## Texas School Journal, Volume 24

Education - 1906 - 592 pages
...one equilateral triangle is equal to the altitude of another, what is the rati of their areas ? 7. The area of «an inscribed regular hexagon is a mean...proportional between •the areas of the inscribed and circumscribed regular triangles. 8. With the vertices of a triangle as centers, describe three circles,... ## Plane Geometry: A Modern Text

William Weller Strader, Lawrence D. Rhoads - Geometry, Plane - 1927 - 434 pages
...GH. Prove OC : OB = OH : OG. 25. Show that the area of a regular hexagon inscribed in a circle is the mean proportional between the areas of the inscribed and the circumscribed equilateral triangles. 26. One base of a trapezoid is 10 in., the altitude is 4 in. and the area is 32 sq. in. Find the length... ## Plane Geometry

William Betz, Harrison Emmett Webb, Percey Franklyn Smith - Geometry, Modern - 1912 - 356 pages
...area of the circumscribed equilateral triangle. 9. The area of the regular inscribed hexagon is the mean proportional between the areas of the inscribed and the circumscribed equilateral triangles. 10. In Ex. 6 compare the area of the given hexagon with that of any one of the figures pointed out.... 