Books with author D Biddle

Excerpt from A Sketch of Owen Biddle: To Which Is Added a Short Account of the Parke Family, Together With a List of DescendantsOwen biddle was born in 1737, his brother Clement being three years his junior. Much has been written in regard to Clement. Biddle; but of the life of his elder brother Owen no complete account has ever, so far as we are aware, been published. Allusions to and notices of him are to be found scattered through various publications, and it will. Be our ediert to collect and arrange into one compact. And connected whole such. Notices as have come under our observation, as well as briefly to record such facts as we are in possession of; so that it may be, in a. Measure, possible to for u some estimate of the man, and of the character of the services be rendered to his country at a most imporo taut period.About the PublisherForgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.comThis 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.

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1874 Excerpt: ...two lumps, V the volume of the smaller lump, and 5 an elemental diminution of V; then /u3v is the volume of the larger, and /n2S its corresponding elemental diminution. Therefore the ratio of the volumes after variation is /u3v-m;8 = Lj?(filv-5). VS yuV-78-' and this ratio is greater than fj.3, since nY--S p.V--nt. Therefore the volumes tend to greater inequality. In the same manner it may be shown generally, that if nx and x be two variable magnitudes (/il 1), and h and k small increments of nx and.; then if A and k are both positive, the magnitudes nx and x are tending to equality or to greater inequality according as-is greater or less than p. 4036. (Proposed by the Editor.)--Let p., p2, ps, Ri, R2, R3 be the radii of the circles drawn in and about the three triangles cut off from the corners of a given triangle by tangents to its inscribed circle drawn parallel I. Solution by the Rev. J. L. Kitchin, M.A.; A. Renshaw; and others. The triangle ADE is similar to ABC, A hence if pt be the perpendicular from A on BC, we have pi-2r = DE pT " BC' II. Solution by Asher B. Evans, M.A. The perimeter of the triangle ADE is evidently 2s,, since AD + PL = Alt andAE + EL--AQ. Similarly the perimeters of BFG and CHK are 2»2 and 2»3 respectively. Again, since the four triangles ADE, BFG, CHK, ABC are similar, we have ft = S? =--=-(1), 01 On S-. 8 and the other properties given in the first part of the question, as well as many similar ones, may be proved in like manner. Moreover, in any series of the circles obtained as described in the last part of the question, the radii of any triad are together equal to the radius of the circle around which they stand; hence the sum of the radii of the whole of the nth series must be equal to r. Again, since 2 (pi2) ...

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1884 Excerpt: ...to tho direction of its movement. Solution by the Proposer. Taking for axes of coordinates any pair of rectangular diameters of the plate in its original position, and denoting by r its radius, by I and m the components of its small movement of translation, by and T1 those of the resulting small displacement of any point xy of the lamina, and by « and v the potential and displacement functions respectively of the strain; then since, by hypothesis, = 0 and ij = 0 for all positions of xy at infinity, while for all points on the circumference of the plate in its original position, that is, for all points satisfying the equation x-+ y" = r', they arc connected with x and y hy the relation (x + £--l)2 + (y + 17--mf = r., or, neglecting small quantities of the second order, by the relation xg+yq = lx + my; we have accordingly, for the solution of the entire problem (including the above particulars) of the strain, first to find, if possible, a potential function u which shall satisfy, at once, the general equation 1 = 0 throughout the entire extent of the lamina, and the dx. dy aforesaid particular conditions at its outer and inner boundaries, and Ihen derive from it the corresponding displacement function v in tho usual manner. Both functions, in the present case, are found readily as follows. As the function Ix t my is homogeneous in x and y, and satisfies for all values of them the equation---+----= 0, therefore the function dx dy' k.----, where k is any constant, satisfies, for all values of k, the x +9" J.; 2 A general equation--+--= 0 throughout the entire extent of the lamina, dx: dyand the particular conditions = 0 and i)--0 at its outer boundary, and for the particular value k = r'-that for its inner boundary also. It follows therefore...

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

This is a reproduction of a book published before 1923. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book.

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

This is an EXACT reproduction of a book published before 1923. This IS NOT an OCR'd book with strange characters, introduced typographical errors, and jumbled words. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book.

This is a reproduction of a book published before 1923. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book.