Books with author W J C Miller

Excerpt from Mathematical Questions With Their Solutions, From the "Educational Times", Vol. 34: With Many Papers and Solutions Not Published in the "Educational Times"; From July to December, 1880Cremona, luigi; Direttore della Scuola degli Ingegneri, S. Pietro in Vincoli, Rome.Croeton, M. W., b.a f.r.s. Professor of Ma thematics and Mechanics in the Royal Mili tary Academy), Woolwich.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.

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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. 1872 Excerpt: ...all the parallels (modulus r) of curves traced on the ellipsoid (tubular surfaces). The singular solution represents the particular parallel (modulus r). But now impose the further condition that the ellipsoid and the surfaces have a common normal at corresponding points, so that and we have further the universal equality dz = pd.s + qdy (12). The elimination of p, q, r from (9), (10), (11), and (12) ought to give the previous result as the differential equation. To show this, we may compare (7) with (9). These equations become identical by the equalities z_ LP = iL, y-rJL _ JhL, Z+1=JL p e+a v e + b' v e+c But substituting the value of--, thence obtained in terms of 6, in (10) and (11), we get p--( + a), q _ =&±p/t K" b (» + »)' (9 + b) z' and by (12) regain the equation (8). II. Solution by Professor Twnsend. Since, from the equation of the ellipsoid, for any point (z, y, z) on the parallel, /rTA cos a'-/yF cos/92 /zTA cos-y.where ± k = the parameter of the parallel, and a, B, y the direction angles of its normal at x, y, z; therefore, substituting in this equation for cos a, cos 0, cos 7 their values--,,--, divided each by tho square root dx dy dz of the sum of their squares, and clearing the result of the radical invelved, we have at once the differential equation required; which, as the radical enters only as the divisor of k in the uncleared equation, is consequently the same for the two parallels equidistant in opposite directions by the intervals ±A from the original surface. By a similar process, substituting for x, y, z, in the equation of any surface, x±kcosa, y±k con $, z±£cos-y, changing cosa, &c., into the above values, and clearing the result of the radical invelved, we obtain the comm...

About the Book Mathematics is the study of such problems as quantity, structure, space, and change. Mathematicians seek out and implement patterns to formulate new theories; they resolve the veracity of theories by applying mathematical proofs. When mathematical frameworks provide good replications of actual events, then mathematics can improve our predictions about natural phenomena. Using theoretical abstraction and logic, over thousands of years mathematics has developed from simple calculation and measurement, to the systematic study of the shapes and dynamics of physical objects. About us Leopold Classic Library has the goal of making available to readers the classic books that have been out of print for decades. While these books may have occasional imperfections, we consider that only hand checking of every page ensures readable content without poor picture quality, blurred or missing text etc. That's why we: republish only hand checked books; that are high quality; enabling readers to see classic books in original formats; that are unlikely to have missing or blurred pages. You can search "Leopold Classic Library" in categories of your interest to find other books in our extensive collection. Happy reading!

Seventeen-year-old Jez Parker knows what Hell is like. She spends ten months a year in it in the form of a life with her abusive mother and stepfather. Two months out of the year, she lives with her werewolf dad and twin brother.Abused and beaten she’s ordered by her mother and stepfather to find information on her dad’s werewolf pack – The Small Town Pack. Vowing to protect her dad, brother, and newly bonded mate, Jez asks for help from the Cloverfields, a supernatural clan that helps those in need.Cole Patrick thought his life ended when he was told Jez had died in a house fire. Now that she’s alive and back in his life, he believes he can keep his feelings for her a secret from his best friend, who happens to be her twin, as well as from her dad. He soon realizes something weird is happening within his pack and that Jez is being targeted. He knows she’s hiding something and he vowed to protect her.But when secrets are revealed and lives are betrayed, will they have a future together?

Remember is told from the perspective of a child at an Anzac Day march, who steps into the shoes of people they see, to find out why they are there.'I wish I could say thank you for the sacrifice they gave,Imagine if superheroes were ever half as brave.''Remember is a true gift. Within these pages is the key to stimulating young minds to see the world through the eyes of others, sacrifices made in our name by men and women in uniform and the families who love and support them.'The Hon Dr Brendan Nelson AODirector of the Australian War Memorial‘This story isn’t just for children… it’s for everyone.’Mrs Jan RyanDevoted wife to an Australian war heroSimple in language yet ornate in visual imagery, Remember is the perfect book to educate our children why we stand as a nation with pride and gratitude.’Kevin HumphreysMates 4 Mates Community Ambassador‘Remember is an inspiring guide to a more compassionate and peaceful world. With the innocence and empathy of a child, we walk in the shoes of our veterans and their families, to explore the experiences, emotions and perspectives of war. Along the journey we gain the insight to translate their immeasurable sacrifice into the hopeful actions of a better world. This book is a must for every Australian school and home. Lest We Forget.’Wing Commander Sharon Bown (Ret’d)Council of the Australian War Memorial

About the Book Mathematics is the study of such problems as quantity, structure, space, and change. Mathematicians seek out and implement patterns to formulate new theories; they resolve the veracity of theories by applying mathematical proofs. When mathematical frameworks provide good replications of actual events, then mathematics can improve our predictions about natural phenomena. Using theoretical abstraction and logic, over thousands of years mathematics has developed from simple calculation and measurement, to the systematic study of the shapes and dynamics of physical objects. About us Leopold Classic Library has the goal of making available to readers the classic books that have been out of print for decades. While these books may have occasional imperfections, we consider that only hand checking of every page ensures readable content without poor picture quality, blurred or missing text etc. That's why we: republish only hand checked books; that are high quality; enabling readers to see classic books in original formats; that are unlikely to have missing or blurred pages. You can search "Leopold Classic Library" in categories of your interest to find other books in our extensive collection. Happy reading!