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It follows that the ratio of the circumference of a circle to its diameter is the same for all circles.
Yale University Entrance Examinations in Mathematics: 1884 to 1898 - Page 186
1898 - 208 pages

## Plane Trigonometry for Colleges and Secondary Schools

Daniel Alexander Murray - Plane trigonometry - 1899 - 226 pages
...circle two angles at the centre are in the same ratio as their intercepted arcs. (b) The ratio of a circumference of a circle to its diameter is the same for all circles. [See Art. 9 (6).] For the proof of (a), reference may be made to any plane geometry ; for instance,...

## Elementary Geometry, Plane and Solid: For Use in High Schools and Academies

Thomas Franklin Holgate - Geometry - 1901 - 462 pages
...polygon, and less than the perimeter of any regular circumscribed polygon. § 361. (2) The ratio of the circumference of a circle to its diameter is the same for all circles. C = ird = 2 irr. § 362. (3) The area of a circle is equal to one-half the product of its circumference...

## Calendar

University of St. Andrews - 1903 - 762 pages
...cuts orthogonallv any circle through a pair of harmonic conjugates to A, B. TRIGONOMETRY. 7. Assuming that the ratio of the circumference of a circle to its diameter is a constant, -n say, show that the circular measure of two right angles is ir radians, and prove that...

Elmer Adelbert Lyman - Arithmetic - 1905 - 268 pages
...could be made, the quotient in each case would be the same and equal to 3.14159 + , ie the ratio of the circumference of a circle to its diameter is the same for all circles. The ratio is denoted by the Greek letter TT (pi). The value of TT found in geometry is 3. 14159+ ....

## Plane Trigonometry

Daniel Alexander Murray - 1906 - 466 pages
...circle two angles at the centre are in the same ratio as their intercepted arcs. (6) The ratio of a circumference of a circle to its diameter is the same for all circles. [See Art. 9 (6).] For the proof of (a), reference may be made to any plane geometry ; for instance,...

## Plane [and Spherical] Trigonometry for Colleges and Secondary Schools

Daniel Alexander Murray - Plane trigonometry - 1908 - 358 pages
...circle two angles at the centre are in the same ratio as their intercepted arcs. (6) The ratio of. a circumference of a circle to its diameter is the same for all circles. [See Art. 9 (6).] For the proof of (a), reference may be made to any plane geometry ; for instance,...

## Books 3-9

Euclid - Mathematics, Greek - 1908 - 456 pages
...explanation, gives out that gives approximate values for the square roots of several large numbers, and proves that the ratio of the circumference of a circle to its diameter is less than 37- but greater than 3^, (4) that the first approach to the rapidity with which the decimal...

## College Entrance Examination Papers in Plane Geometry

Geometry, Plane - 1911 - 192 pages
...the work will not be accepted unless the constructions are made accurately with ruler and compass. 1. Divide a line externally in extreme and mean ratio...(without proofs) the method of determining this value. GEOMETRY (A), JUNE, 1901 1. State and prove a theorem relating to the squares of the sides of an obtuse-angled...