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The side of a regular hexagon inscribed in a circle is equal to the radius of the circle.
Elements of Plane Geometry: For the Use of Schools - Page 82
by Nicholas Tillinghast - 1844 - 96 pages

## The Elements of Euclid, books i. to vi., with deductions, appendices and ...

Euclides - 1884 - 434 pages
...stand each on an arc = four-sixths of the Oce , .-. these six angles are all equal. ///. 27 COR. — The side of a regular hexagon inscribed in a circle is equal to the radius. 1. If the points A, C, E be joined, A ACE is equilateral. 2. The area of an inscribed equilateral triangle...

## The Elements of Geometry

George Bruce Halsted - Geometry - 1885 - 389 pages
...called the radius of a regular polygon. The radius of its inscribed circle is called its apothem. 437. The side of a regular hexagon inscribed in a circle is equal to the radius. For the sects from the center to the ends of a side make an isosceles triangle, one of whose angles...

## The First Six Books of the Elements of Euclid: And Propositions I-XXI of ...

Euclid, John Casey - Euclid's Elements - 1885 - 340 pages
...equal. Hence it is equiangular, and is therefore a regular hexagon inscribed in the circle. Cor. 1. — The side of a regular hexagon inscribed in a circle is equal to the radius. Cor. 2. — If three alternate, angles of a hexagon he joined, they form an inscribed equilateral triangle....

## The Elements of Geometry

George Bruce Halsted - Geometry - 1886 - 394 pages
...called the radius of a regular polygon. The radius of its inscribed circle is called its apothem. 437. The side of a regular hexagon inscribed in a circle is equal to the radius. For the sects from the center to the ends of a side make an isosceles triangle, one of whose angles...

## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1892 - 460 pages
...is equiangular : .'. the hexagon is regular, and it is inscribed in the 0 ABDF. QEF COROLLARY. Tlw side of a regular hexagon inscribed in a circle is equal to the radius of the circle. PROPOSITION 1C. PROBLEM. To inscribe a regular quindecagon in a given circle. A Let ABCD...

## A Text-book of Euclid's Elements for the Use of Schools. Books I and II, Book 1

Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...equiangular ; .'. the hexagon ABCDEF is regular, and it is inscribed in the O ABDF. QEF COROLLARY. The side of a regular hexagon inscribed in a circle is equal to the radius of the circle. SUMMARY OF THE PROPOSITIONS OF BOOK IV. The following summary will assist the student in...

## A Textbook on Sheet-metal Pattern Drafting, Volume 1

Metal-work - 1901 - 548 pages
...hexagon is equal to the radius of the circle. Thus, we have AB = FIG. 8. 8. From Art. 7 we see that the side of a regular hexagon inscribed in a circle is equal to the radius of the circle; and, therefore, the perimeter of the regular inscribed hexagon is equal to six times the...

## A Textbook on Sheet-metal Pattern Drafting, Volume 1

International Correspondence Schools - Sheet-metal work - 1901 - 570 pages
...the radius of the circle. Thus, we have AB = BC^CD = DE =EF=FA= OA. 8. From«Art. 7 we see that the A side of a regular hexagon inscribed, in a circle is equal to the radius of the circle; and, therefore, the perimeter of the regular inscribed hexagon is equal to six times the...