 | Horatio Nelson Robinson - Geometry - 1860 - 470 pages
...16, 32, etc., sides. To get the corresponding circumscribed polygons, we have merely to draw tangents at the middle points of the arcs subtended by the sides of the inscribed polygons. Cor. 5. It is plain that each inscribed polygon is but a part of one having... | |
 | Horatio Nelson Robinson - Geometry - 1868 - 276 pages
...16, 32, etc., sides. To get the corresponding circumscribed polygons, we have merely to draw tangents at the middle points of the arcs subtended by the sides of the inscribed polygons. Cor. 5. It is plain that each inscribed polygon is but a part of one having... | |
 | William Chauvenet, William Elwood Byerly - Geometry - 1887 - 336 pages
...number of sides. EXERCISE. Theorem.—If a regular polygon is inscribed in a circle, the tangents drawn at the middle points of the arcs subtended by the sides of the inscribed polygon form a circumscribed regular polygon, whose sides are parallel to the sides of... | |
 | William Chauvenet, William Elwood Byerly - Geometry - 1887 - 331 pages
...number of sides. EXERCISE. Theorem.—If a regular polygon is inscribed in a circle, the tangents drawn at the middle points of the arcs subtended by the sides of the inscribed polygon form a circumscribed regular polygon, whose sides are parallel to the sides of... | |
 | William Chauvenet - 1893 - 340 pages
...number of sides. EXERCISE. Theorem.—If a regular polygon is inscribed in a circle, the tangents drawn at the middle points of the arcs subtended by the sides of the inscribed polygon form a circumscribed regular polygon, whose sides are parallel to the sides of... | |
 | Webster Wells - Geometry - 1894 - 256 pages
...Therefore, the polygon FGHKL is regular. (§ 341.) PROPOSITION III. THEOREM. 346. Tangents to a circle at the middle points of the arcs subtended by the sides of a regular inscribed polygon, form a regular circumscribed polygon. D' H C' Let ABCDE be a regular polygon inscribed in the circle... | |
 | Webster Wells - Geometry - 1894 - 394 pages
...the polygon FGHKL is regular. (§ 341.) PROPOSITION III. THEOREM. 346. Tangents to a circle at tlic middle points of the arcs subtended by the sides of a regular inscribed polygon, form a regular circumscribed polygon. D" II C' Let ABCDE be a regular polygon inscribed in the circle... | |
 | Charles Ambrose Van Velzer, George Clinton Shutts - Geometry - 1894 - 416 pages
...the number of sides. 301. COROLLARY V. If a regular polygon is inscribed in a circle, tangents drawn at the middle points of the arcs subtended by the sides of the inscribed polygon, form a regular circumscribed polygon whose sides are parallel to the sides of... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 276 pages
...apothem of the inscribed. 506. If the sides of a regular circumscribed polygon are tangent to the circle at the middle points of the arcs subtended by the sides of a similar inscribed polygon, then the sides of the circumscribed figure are parallel to those of the... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 276 pages
...apothem of the inscribed. 506. If the sides of a regular circumscribed polygon are tangent to the circle at the middle points of the arcs subtended by the sides of a similar inscribed polygon, then the sides of the circumscribed figure are parallel to those of the... | |
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Tangents to a circle at the middle points of the arcs subtended by the sides of a regular inscribed polygon... 
