 | Richard Dunkley Beasley - Plane trigonometry - 1858 - 144 pages
...circumferences of the circles, and we have circumference ABCD : A О = circum. abed : ao, or the ratio of the circumference of a circle to its diameter is the same for all circles. This ratio is generally denoted by the symbol tr ; so that if r be the radius of a circle, and 2r its... | |
 | John Bascombe Lock - 1882 - 378 pages
...as the number of its sides is continually increased. L. 2 TRIGONOMETRY. 33. PHOP. The ratio of the circumference of a circle to its diameter is the same for all circles. Let ABCDEF, abcdef\,Q any two circles. Let a regular polygon of any, the same number of sides be inscribed... | |
 | John Bascombe Lock - Trigonometry - 1885 - 368 pages
...as the number of its sides is continually increased. L. 2 TRIGONOMETRY. * 33. PROP. The ratio of the circumference of a circle to its diameter is the same for all circles. Let ABC DBF, abcdefbe any two circles. Let a regular polygon of any, the same number of sides be inscribed... | |
 | George Albert Wentworth, George Anthony Hill - Arithmetic - 1887 - 448 pages
...diameter be trebled, the circumference will also be trebled ; and BO on. It follows that the ratio of the circumference of a circle to its diameter is the same for all circles. The exact value of this ratio cannot be expressed by numbers, but the value near enough for most practical... | |
 | Benjamin Franklin Finkel - Mathematics - 1888 - 518 pages
...areas are to each other as the rectangles of the sides including those angles. 7. The ratio of the circumference of a circle to its diameter is the same for all circles. 8. Find the side of the largest square that can be cut from a tree whose circumference is 14 feet.... | |
 | George Albert Wentworth - Algebra - 1892 - 312 pages
...diameter be trebled, the circumference will also be trebled ; and so on. It follows that the ratio of the circumference of a circle to its diameter is the same for all circles. The exact value of this ratio cannot be expressed by numbers, but the value near enough for most practical... | |
 | George Albert Wentworth - 1894 - 318 pages
...diameter be trebled, the circumference will also be trebled ; and so on. It follows that the ratio of the circumference of a circle to its diameter is the same for all circles. The exact value of this ratio cannot be expressed by numbers, but the value near enough for most practical... | |
 | Charles Ambrose Van Velzer, George Clinton Shutts - Geometry - 1894 - 522 pages
...diameters. If D and U represent their diameters, £ ^L C "= D' ' 312. COROLLARY II. The ratio of the circumference of a circle to its diameter is the same for all circles. For, by Cor. 1, § = §7 , C C' and by alternation ~f=, = ~jy • This ratio is represented by the... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 276 pages
...the civ cle is the common limit of J> and s. § 185 PROPOSITION X. THEOREM QED 491. The ratio of the circumference of a circle to its diameter is the same for all circles. GIVEN—any two circles with radii R and r, and circumferences C and c respectively. To PROVE — =... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 570 pages
...the cir cle is the common limit of 5 and s. § 185 QED PROPOSITION' X. THEOREM 49 1. The ratio of the circumference of a circle to its diameter is the same for all circles. GIVEN — any two c1rcles with radii R and r, and circumferences Cand c respectively. C c To PROVE... | |
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It follows that the ratio of the circumference of a circle to its diameter is the same for all circles. 
