The quadrature of the circle, or The true ratio between the diameter and circumference geometrically and mathematically demonstratedEdward Howell, 1865 - 104 стор. |
Загальні терміни та фрази
25 diameters 36 minutes absurd algebraical formula angle of 36 angle of 45 argument arithmetical value Arithmetician Astronomer Royal BARKELEY HOUSE British Association circle are exactly circle of radius circular measure circum circumscribing circle circumscribing square containing the right correspondence diameter is unity diameter to circumference Druidical circles Earth's circumference Earth's diameter equal to 25 exactly equal fact fallacy follows of necessity Geometer and Mathematician Geometrical and Mathematical given square hypothetical value inscribed circle inscribed regular hexagon J. R. Hind JAMES SMITH LIVERPOOL Logarithm Mathe Mathematical science Mathematical Tables mathematically produce meeting metical miles Moon's circumference Moon's distance Natural sine observe perfect accuracy perimeter perpetual remainder Physical Section Prince Consort Professor de Morgan Quadrature ratio of diameter readers regular dodecagon regular polygon reply right angled triangle SEAFORTH semi-radius sided inscribed Sir W. R. H. Sun's diameter superficial area tell true ratio truth Whewell William Rowan Hamilton
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Сторінка 25 - The diameter of the sun 850,100 miles, which is smaller by nearly 38,000. The distances, velocities, and dimensions of all the members of the planetary system of course require similar corrections if we wish to express them in miles; in the case of Neptune, the mean distance is diminished by 30 times the amount of correction to that of the earth, or about 122,000,000 miles.
Сторінка 4 - Radian is the angle subtended, at the centre of a circle, by an arc equal in length to the radius...
Сторінка 18 - Mathematician enough to do this. You will find that if the radius of the circle be one, the side of this polygon is . 264 etc. Now, the arc which this side subtends is according to your proposition 3. 125/12= .2604, and therefore the chord is greater than its arc, which you will allow is impossible.
Сторінка 18 - In the whole course of the proof, though the word cycle occurs, there is no property of the circle employed. You may do this: you may put the word hexagon or dodecagon, or any other word describing a polygon in the place of Circle in your proof, and the proof would be just as good as before. Does not this satisfy you that you cannot have proved a property of that special figure — a circle?
Сторінка 22 - Remembering that this Association is a popular Association, not a secret confraternity of men jealously guarding the mysteries of their profession, but inviting the uninitiated, the public at large, to join them, having as one of its objects to break down those imaginary and hurtful barriers which exist between men of science and so-called men of practice...
Сторінка 6 - The angle at the centre of a circle, subtended by an arc, is double the angle at the circumference subtended by the same arc.
Сторінка 24 - It may occasion surprise to many who are accustomed to read of the precision now attained in the science and practice of Astronomy, when it is stated that there are strong grounds for supposing the generally received value of that great unit of celestial measures —the mean Distance of the Earth from the Sun — to be materially in error ; and that, in fact, we are nearer to the central luminary by some 4,000,000 miles than for many years past has been commonly believed. The results of various researches...
Сторінка 19 - A person of small knowledge is in danger of trying to make his little do the work of more ; but a person without any is in more danger of making his no knowledge do the work of some.
Сторінка 3 - Show that the area of a dodecagon inscribed in a circle is equal to that of a square on the side of an equilateral triangle inscribed in the same circle.