Differential calculus for beginners |
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Σελίδα 15
... equal ) a number of points greater than any assignable number , we can draw spheres passing through each of these points , and we can do this when OZ becomes shorter than any assignable length ; that is , when the number of spheres is ...
... equal ) a number of points greater than any assignable number , we can draw spheres passing through each of these points , and we can do this when OZ becomes shorter than any assignable length ; that is , when the number of spheres is ...
Σελίδα 17
... equal . " Take any two quantities , and let them tend constantly to become equal ; for instance , take a circle and inscribe in it a regular polygon , and let the number of sides be doubled , then the area of this figure is more nearly ...
... equal . " Take any two quantities , and let them tend constantly to become equal ; for instance , take a circle and inscribe in it a regular polygon , and let the number of sides be doubled , then the area of this figure is more nearly ...
Σελίδα 18
... equal to the area of the circle by four such triangles as ABC . A Again , let the number of sides be doubled , and the area of the new polygon will be still more nearly equal to that of the circle . It is , then , asserted , that , if ...
... equal to the area of the circle by four such triangles as ABC . A Again , let the number of sides be doubled , and the area of the new polygon will be still more nearly equal to that of the circle . It is , then , asserted , that , if ...
Σελίδα 20
... equal to a . If we take the limit of a2-62 when b becomes equal to a , we find this to be 0 ; and also the limit of a - b , when b becomes equal to a , will be 0 , and we shall have a2 - b2 0 α- -b 0 Again , by actual division a2 - b2 α ...
... equal to a . If we take the limit of a2-62 when b becomes equal to a , we find this to be 0 ; and also the limit of a - b , when b becomes equal to a , will be 0 , and we shall have a2 - b2 0 α- -b 0 Again , by actual division a2 - b2 α ...
Σελίδα 21
... or beyond the average ; and if that the 1000 men composed an invading army , that it was insignificant . Let us take an improper fraction 10000 this is equal to 1000 or 10 10000 = = 1000 . 10 • 1 also Similarly DIFFERENTIAL CALCULUS . 21.
... or beyond the average ; and if that the 1000 men composed an invading army , that it was insignificant . Let us take an improper fraction 10000 this is equal to 1000 or 10 10000 = = 1000 . 10 • 1 also Similarly DIFFERENTIAL CALCULUS . 21.
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A. W. VERRALL angle approximately ARITHMETIC Assistant-Master becomes BEGINNERS BOOK Cambridge CHEMISTRY circle Clifton College column Crown 8vo D.Sc dc₁ diminished Edited by Rev ELEMENTARY TREATISE ENGLISH EPISTLE Eton College Extra fcap FASNACHT Fellow of St Fellow of Trinity Find the differential function G. E. FASNACHT Globe 8vo GRAMMAR HISTORY incre increase uniformly increments of 001 independent variable Introduction and Notes J. P. MAHAFFY John's College King's College late Fellow LATIN Lecturer LL.D London Macmillan's Maps Mathematics maximum minimum Nature Series numerous Illustrations Owens College Oxford preparation quantity rate of increase rate of variation ratio receive small increments rectangles revised and enlarged School second differences second differential co-efficient Second Edition side space fallen square straight line successive values tangent third differential co-efficient tion Translated Trinity College ultimately University of Cambridge University of Glasgow velocity Vocabulary وو
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Σελίδα 39 - HALES— LONGER ENGLISH POEMS, with Notes, Philological and Explanatory, and an Introduction on the Teaching of English. Chiefly for Use in Schools. Edited by JW HALES, MA, Professor of English Literature at King's College, London.
Σελίδα 21 - SOUND : a Series of Simple, Entertaining, and Inexpensive Experiments in the Phenomena of Sound, for the Use of Students of every age.
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Σελίδα 10 - Prize Essay for 1877. 8vo. &. 6d. SMITH— Works by the Rev. BARNARD SMITH, MA, Rector of Glaston, Rutland, late Fellow and Senior Bursar of St. Peter's College, Cambridge. ARITHMETIC AND ALGEBRA, in their Principles and Application ; with numerous systematically arranged Examples taken from the Cambridge Examination Papers, with especial reference to the Ordinary Examination for the BA Degree.
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Σελίδα 31 - Works by HENRY TANNER, FCS, MRAC, Examiner in the Principles of Agriculture under the Government Department of Science ; Director of Education in the Institute of Agriculture, South Kensington, London ; sometime Professor of Agricultural Science, University College, Aberystwith.
Σελίδα 12 - ELEMENTARY TREATISE ON PARTIAL DIFFERENTIAL EQUATIONS. Designed for the Use of Students in the Universities. With Diagrams. Second Edition. Crown 8vo. $s. 6d. ON THE ALGEBRAICAL AND NUMERICAL THEORY OF ERRORS OF OBSERVATIONS AND THE COMBINATION OF OBSERVATIONS.
Σελίδα 21 - Day.— ELECTRIC LIGHT ARITHMETIC. By RE DAY, MA, Evening Lecturer in Experimental Physics at King's College, London. Pott 8vo. 2s. Everett. — UNITS AND PHYSICAL CONSTANTS. By JD EVERETT, FRS, Professor of Natural Philosophy, Queen's College, Belfast.
Σελίδα 21 - EXPERIMENTAL MECHANICS. A Course of Lectures delivered at the Royal College of Science for Ireland.