 | William Herschel Bruce, Claude Carr Cody (Jr.) - Geometry, Modern - 1910 - 286 pages
...yd., SC = 85 yd., CD = 22 yd., AD = 80 yd., and diagonal BD = 91 yd. PROPOSITION XV. THEOREM. 489. The circumferences of two circles are to each other...as their radii. Given C and C', the circumferences, and R and R', the radii, respectively, of two Os. To prove g = |;. Proof. Let regular polygons of the... | |
 | Geometry, Plane - 1911 - 192 pages
...is 45. Find the length of the third side. 6. Prove the formula for the area of a regular polygon. 6. The circumferences of two circles are to each other as their radii. 7. AB is the hypotenuse of a right triangle, and D and E are the middle points of BC and AC, respectively.... | |
 | George Albert Wentworth, George Wentworth - Geometry - 1912 - 602 pages
...To describe a circle whose circumference is equal to the difference of two circumferences of given radii. Given c and c' the circumferences of two © whose radii are r and T1 respectively, and let c be greater than c'. Required to describe a G whose circumference is equal... | |
 | Walter Burton Ford, Earle Raymond Hedrick - Geometry, Modern - 1913 - 272 pages
...perimeters approach the length of the circumference of the circle as a common limit. 211. Theorem IV. The circumferences of two circles are to each other as their radii. FIG. 147 Given two circles 0 and 0' whose radii are r and r'. To prove that the length of their circumferences... | |
 | Walter Burton Ford, Charles Ammerman - Geometry, Plane - 1913 - 376 pages
...perimeters approach the length of the circumference of the circle as a common limit. 211. Theorem IV. The circumferences of two circles are to each other as their radii. FIG. 14' Given two circles O and O' whose radii are r aud r'. To prove that the length of their circumferences... | |
 | Walter Burton Ford, Charles Ammerman - Geometry, Solid - 1913 - 176 pages
...perimeters approach the length of the circumference of the circle as a common limit. 211. Theorem IV. The circumferences of two circles are to each other as their radii. 212. Corollary 1. The ratio of a circumference to its diameter is the same for all circles. 213. The... | |
 | Edward Rutledge Robbins - Geometry, Plane - 1915 - 280 pages
...omit the profound demonstrations and insert only simple explanations. PROPOSITION IX. THEOREM 425. The circumferences of two circles are to each other as their radii. Given : Two © whose radii are R and B1 and circumferences, C and C' respectively. To Prove : C : C' = R... | |
 | Charles Austin Hobbs - Geometry, Solid - 1921 - 216 pages
...indefinitely the perimeter of the polygon approaches the circumference of the circle as its limit. Prop. 195. The circumferences of two circles are to each other as their radii. c = 2irr Prop. 196. // the number of sides of a regular inscribed or circumscribed polygon is increased... | |
 | Julius J. H. Hayn - Geometry, Plane - 1925 - 328 pages
...have p : p' = s : s' = r : r' = a : a'. (See 216, 231, 262, 283.) Proposition VIII. Theorem QED 286. The circumferences of two circles are to each other as their radii. E' inscribed polygons by p and p', we shall have p : p' = r : r', or in If the number of sides of these... | |
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The circumferences of two circles are to each other as their radii. Given C and C" the circumferences of two © whose radii are R and R', respectively. 
