Excerpt from On the Solution of Numerical Functional Equations: Illustrated by an Account of a Popular Puzzle and of Its Solution In deciding on the general features of the most efficient arrangement of the discs, I was helped by having a specimen of the apparatus actually used (belonging to Mr. J. H. Grace, whose kindness in lending it both then, and on the occasion of the reading of this paper to the Society, I gladly acknowledge); it is only to be expected that no great margin is left to the inaccurate speculator, and ...
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Excerpt from On the Solution of Numerical Functional Equations: Illustrated by an Account of a Popular Puzzle and of Its Solution In deciding on the general features of the most efficient arrangement of the discs, I was helped by having a specimen of the apparatus actually used (belonging to Mr. J. H. Grace, whose kindness in lending it both then, and on the occasion of the reading of this paper to the Society, I gladly acknowledge); it is only to be expected that no great margin is left to the inaccurate speculator, and certain types of arrangement were seen unmistakably to be ineffective such was, for example, the arrange ment symmetrical about each of five diameters, the small circles all pass ing through the centre of the large circle. It is taken for granted that there is symmetry about one line, a common diameter of the large circle and of one of the small circles. If K is the centre of the large circle, D the centre of this small circle, B the end of the diameter DK of the large circle which is not covered by the small circle, 0 the point in which the small circle cuts de, and G, H the points in which the small circle cuts the large circle, the arrangements between which decision must be made can be enumerated. Two circles must pass through B, and intersect in a point L in de, which may be identical with C, or may be a distinct point in cb; let one of these circles cut the arc BG of the large circle in E, the other out the arc EH in F. Oi the remaining circles one covers E and G, the other covers F and H. [e L is distinct from C, the circle covering E and G covers also L and C, and either passes through three of the four points E, G, L, C or has the line joining two of them for a diameter. If L coincides With C, the circle bce cuts the circle whose centre is D in a point M distinct from C, and the circle covering E and G either is the circle through E, G, and M, or has one of the lines gm, me, EG for its diameter. It would be possible to apply calculation to each case, but actual trial is sufficient to convince that the only arrangement which allows success with the apparatus used is of the last type; what remains for calculation is the discovery of the smallest ratio of the common radius of the discs to the radius of the painted circle which allows this most effective arrangement to succeed, and the determination of the corresponding posi tion of the point we have denoted by G. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at ... This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
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Add this copy of On the Solution of Numerical Functional Equations; to cart. $20.98, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2025 by Hutson Street Press.
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Fine. Trade paperback (US). Glued binding. 22 p. Contains: Illustrations. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
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New. Trade paperback (US). Glued binding. 22 p. Contains: Illustrations. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
Add this copy of On the Solution of Numerical Functional Equations; to cart. $32.14, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2025 by Hutson Street Press.
Add this copy of On the Solution of Numerical Functional Equations; to cart. $34.31, like new condition, Sold by GreatBookPrices rated 4.0 out of 5 stars, ships from Columbia, MD, UNITED STATES, published 2025 by Hutson Street Press.
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Fine. Sewn binding. Cloth over boards. 22 p. Contains: Illustrations. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
Add this copy of On the Solution of Numerical Functional Equations; to cart. $34.56, new condition, Sold by GreatBookPrices rated 4.0 out of 5 stars, ships from Columbia, MD, UNITED STATES, published 2025 by Hutson Street Press.
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New. Sewn binding. Cloth over boards. 22 p. Contains: Illustrations. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
