Differential Calculus with Applications and Numerous Examples: An Elementary Treatise...Macmillan, 1886 - 439 sider |
Inni boken
Resultat 1-5 av 43
Side xii
... , Co - ordinates of Centre of Curvature , 278-279 279-281 286-290 Involutes and Evolutes , 281-285 291-294 Intrinsic Equations , . 285-288 ARTS . 295-297 Contact . Analytical Conditions , 298 Osculating xii CONTENTS .
... , Co - ordinates of Centre of Curvature , 278-279 279-281 286-290 Involutes and Evolutes , 281-285 291-294 Intrinsic Equations , . 285-288 ARTS . 295-297 Contact . Analytical Conditions , 298 Osculating xii CONTENTS .
Side 21
... centre O and radius a . Suppose the angle AOP ( = 0 ) to be a small quantity of the first order . Let PN be the perpendicular from P upon OA and AQ the tangent at A , meeting OP produced in Q. Join P , A. Then Fig . 2 . N arc AP a0 and ...
... centre O and radius a . Suppose the angle AOP ( = 0 ) to be a small quantity of the first order . Let PN be the perpendicular from P upon OA and AQ the tangent at A , meeting OP produced in Q. Join P , A. Then Fig . 2 . N arc AP a0 and ...
Side 25
... centre of gravity of the arc PQ of any uniform curve , and if PT be the tangent at P , prove that , when PQ is indefinitely diminished , the angles GPT and QPT vanish in the ratio of 2 to 3 .. [ I. C. S. EXAM . ] CHAPTER II ...
... centre of gravity of the arc PQ of any uniform curve , and if PT be the tangent at P , prove that , when PQ is indefinitely diminished , the angles GPT and QPT vanish in the ratio of 2 to 3 .. [ I. C. S. EXAM . ] CHAPTER II ...
Side 31
... centre ( and radius unity cut the lines OA , OP , OQ , in A , P , Q. Draw per- R P N M Fig . 11 . pendiculars PM , QN , to OA , and PR to QN . Join PQ . Then MP sin x , NQ = sin ( x + h ) , ... sin ( x + h ) — sin x = . = RQ . h = angle ...
... centre ( and radius unity cut the lines OA , OP , OQ , in A , P , Q. Draw per- R P N M Fig . 11 . pendiculars PM , QN , to OA , and PR to QN . Join PQ . Then MP sin x , NQ = sin ( x + h ) , ... sin ( x + h ) — sin x = . = RQ . h = angle ...
Side 129
... centre above the plane PLMN is given by MR ' and also by ( LQ ' + NS ' ) , which proves MR ' = LQ ' + NS ' that = Əz Əz · Sx + Sy⋅ дх ду . ( 6 ) The expressions proved in ( 4 ) , ( 5 ) , and ( 6 ) are first approximations to the ...
... centre above the plane PLMN is given by MR ' and also by ( LQ ' + NS ' ) , which proves MR ' = LQ ' + NS ' that = Əz Əz · Sx + Sy⋅ дх ду . ( 6 ) The expressions proved in ( 4 ) , ( 5 ) , and ( 6 ) are first approximations to the ...
Andre utgaver - Vis alle
Differential Calculus with Applications and Numerous Examples: An Elementary ... Joseph Edwards Uten tilgangsbegrensning - 1886 |
Differential Calculus with Applications and Numerous Examples: An Elementary ... Joseph Edwards Uten tilgangsbegrensning - 1886 |
Differential Calculus With Applications and Numerous Examples: An Elementary ... Joseph Edwards Ingen forhåndsvisning tilgjengelig - 2006 |
Vanlige uttrykk og setninger
ALGEBRA angle Assistant-Master asymptote axis Cambridge cardioide centre chord circle co-ordinates coincident points conic Crown 8vo cusp cuts the curve cycloid denote differential coefficient dx dx dx dy dy dx ELEMENTARY ellipse envelope EXAMPLES Extra fcap fcap Fellow of Trinity Find function Globe 8vo Hence hyperbola independent variable infinite intersection intrinsic equation inverse John's College late Fellow limit LL.D locus MACMILLAN'S EDUCATIONAL CATALOGUE Mathematics maxima and minima minimum value negative normal ordinate origin Owens College p(x+h parabola parallel pedal equation perpendicular point of contact point of inflexion polar positive pedal PRIMER Professor prove quantity radius of curvature revised School Show straight line tangent Taylor's Theorem Trace the curve Trinity College ultimately coincident vanish whence zero ди ди ду дх Эф
Populære avsnitt
Side 35 - With the Mathematical Elements of Music. Designed for the Use of Students in the University. Second Edition, revised and enlarged. Crown 8vo. gs. A TREATISE ON MAGNETISM. Designed for the Use of Students in the University.
Side 52 - Thousand. *' Stands alone as the one general history of the country, for the sake of which all others, if young and old are wise, will be speedily and surely set aside."— ACADEMY. ANALYSIS OF ENGLISH HISTORY, based on Green's " Short History of the English People.
Side 12 - ARISTOPHANES— THE BIRDS. Translated into English Verse, with Introduction, Notes, and Appendices, by BH KENNEDY, DD, Regius Professor of Greek in the University of Cambridge.
Side 59 - TAYLOR— WORDS AND PLACES; or, Etymological Illustrations of History, Ethnology, and Geography. By the Rev. ISAAC TAYLOR, MA Third and cheaper Edition, revised and compressed. With Maps. Globe 8vo. 6s.
Side 71 - A GENERAL SURVEY OF THE HISTORY OF THE CANON OF THE NEW TESTAMENT DURING THE fIRST FOUR CENTURIES. Fourth Edition. With Preface on "Supernatural Religion.
Side 44 - GRAY— STRUCTURAL BOTANY, OR ORGANOGRAPHY ON THE BASIS OF MORPHOLOGY. To which are added the principles of Taxonomy and Phytography, and a Glossary of Botanical Terms.
Side 57 - HISTORICAL OUTLINES OF ENGLISH ACCIDENCE, comprising Chapters on the History and Development of the Language, and on Word-formation.
Side 57 - Figures. *8. SMALL-HAND AND HALF-TEXT. With Capitals and Figures. 8a. PRACTISING AND REVISING COPY-BOOK. For Nos, 5 to 8. *9. SMALL-HAND SINGLE HEADLINES— Figures. 10. SMALL-HAND SINGLE HEADLINES— Figures. 11. SMALL-HAND DOUBLE HEADLINES— Figures.
Side 20 - THE SEVEN KINGS OF ROME. An Easy Narrative, abridged from the First Book of Livy by the omission of Difficult Passages; being a First Latin Reading Book, with Grammatical Notes and Vocabulary.
Side 72 - WILSON— THE BIBLE STUDENT'S GUIDE to the more Correct Understanding of the English Translation of the Old Testament, by reference to the original Hebrew. By WILLIAM WILSON, DD, Canon of Winchester, late Fellow of Queen's College, Oxford. Second Edition, carefully revised. 4to. cloth. 25*. YONGE (CHARLOTTE M.)— SCRIPTURE READINGS FOR SCHOOLS AND FAMILIES. By CHARLOTTE M. YONGE, Author of "The Heir of Redclyffe.