 | Isaac Newton - Calculus - 1745 - 524 pages
...Circle is neither greater nor lefs than the Triangle by any given Space. Again, Euclid demonftrates 3 that Circles are to each other as the Squares of their Diameters, by mewing that the Square of the Diameter of the one Circle is to the Square of the Diameter of the... | |
 | Geometry - 1751 - 420 pages
...By mewing that the Circle is neither greater nor lefs by any given Spice. Again, Euclid demOnilrates that Circles are to each other as the Squares of their Diameters, by fhewing thai the Square of the Diameter of the one 'Circle, is to the Square of the Diameter of... | |
 | Richard Whately - Logic - 1831 - 440 pages
...quality which was no-where met with; nor would the truth of the Mathematician's conclusion be shaken, that "circles are to each other as the squares of their diameters," should it be found that there never had been a circle, or a square, conformable to the definition in... | |
 | Richard Whately - Logic - 1832 - 386 pages
...quality which was nowhere met with ; nor would the truth of the Mathematician's conclusion be shaken, that " circles are to each other as the squares of their diameters," should it be found that there never had been a circle, or a square, conformable to the definition in... | |
 | Luther Ainsworth - Arithmetic - 1837 - 298 pages
...circle, 30 inches. Diameter of the second circle, 42,42. Diameter of the third circle, Jj" The area of circles are to each other, as the squares of their diameters. When the diameter is 1, the area is found to be ,7854 decimal. Therefore it is, that the square of the diameter,... | |
 | Richard Whately - Logic - 1840 - 508 pages
...quality which was no-where met with ; nor would the truth of the Mathematician's conclusion be shaken, that " circles are to each other as the squares of their diameters," should it be found that there never had been a circle, or a square, conformable to the definition,... | |
 | 1848 - 602 pages
...condition of receiving double the remuneration, — being ignorant of the simple principle in geometry, that circles are to each other as the squares of their diameters, and that consequently the sectional area of a pipe only twice the diameter of another is really four... | |
 | Medicine - 1848 - 584 pages
...condition of receiving double the remuneration, — being ignorant of the simple principle in geometry, that circles are to each other as the squares of their diameters, and that consequently the sectional area of a pipe only twice the diameter of another is reallyybur... | |
 | Richard Whately - Logic - 1849 - 170 pages
...quality which was nowhere met with ; nor would the truth of the Mathematician's conclusion be shaken, that " circles are to each other as the squares of their diameters," should it be found that there never had been a circle or a square, conformable to the definition, in... | |
 | Uriah Parke - Arithmetic - 1849 - 414 pages
...given : " Square the diameter of the given circle, and multiply by .7854 for the area." Yet admitting that circles are to each other as the squares of their diameters, the reason is obvious enough. The Permutation and Combination of quantities, and the doctrine of chances,... | |
| |
... would be not at all the less true if a future state were a chimera, and prudence a quality which was nowhere met with; nor would the truth of the Mathematician's conclusion be shaken, that " circles are to each other as the squares of their diameters... 
