 | 1882 - 676 σελίδες
...162337. Ans. (3). i 34. Find in degrees and decimals, an arc equal | in length to the radius, assuming that the ratio of the circumference of a circle to its diameter is 355 : 113. By how much does the length of arc, thus found, differ from that given by assuming the ratio... | |
 | Woolwich roy. military acad - 1884 - 148 σελίδες
...1. Assuming that a circle may be treated as a regular polygon with an infinite number of sides, shew that the ratio of the circumference of a circle to its diameter is constant. What is the circular measure of the least angle whose sine is j, and what is the measure... | |
 | W. J. C. Miller - 1885 - 242 σελίδες
...approximately, we mean that a and b differ by at least some conceivable quantity. Thus, we say rightly that the ratio of the circumference of a circle to its diameter is approximately equal to 3-14 159266 ; but it would be wrong to say that it is approximately equal to... | |
 | John Bascombe Lock - 1885 - 368 σελίδες
...180 stands for the number one hundred and eighty, and for nothing else. * 30. "We proceed to prove that the ratio of the circumference of a circle to its diameter is the same for all circles. The proof depends on the following important principle ; The length of the... | |
 | George Albert Wentworth, George Anthony Hill - 1887 - 448 σελίδες
...doubled ; or, if the 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... | |
 | E. J. Brooksmith - 1889 - 356 σελίδες
...1. Assuming that a circle may be treated as a regular polygon with an infinite number of sides, shew that the ratio of the circumference of a circle to its diameter is constant. What is the circular measure of the least angle whose sine is J, and what is the measure... | |
 | Florian Cajori - 1890 - 414 σελίδες
...different direction and by newly discovered paths. Lanbert, an Alsacian mathematician, proved in 1761 that the ratio of the circumference of a circle to its diameter is incommensurable. Ony nine years ago Lindemann, a German mathematician, demonstratid that this ratio... | |
 | United States. Office of Education - 1890 - 958 σελίδες
...different direction and by newly discovered paths. Lambert, an Alsacian mathematician, proved in 1761 that the ratio of the circumference of a circle to its diameter is incommensurable. Only nine years ago Lindemann, a German mathematician, demonstrated that this ratio... | |
 | Ernest William Hobson - 1891 - 380 σελίδες
...В is of constant magnitude independent of the particular circle used. 7. It will be shewn hereafter that the ratio of the circumference of a circle to its diameter is incommensurable, that is, we are unable to give any integers m and 7г such that m/n is exactly equal... | |
 | George Albert Wentworth - 1892 - 312 σελίδες
...doubled ; or, if the 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... | |
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It follows that the ratio of the circumference of a circle to its diameter is the same for all circles. 
