Differential calculus for beginners |
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Σελίδα 16
... ultimately , B coin- cides with A , or when AB is indefinitely diminished , the limit , that is the final value , of AB is a point . ( 2. ) If ABCD be a surface and the line DC move up continuously towards AB , then when the breadth Б ...
... ultimately , B coin- cides with A , or when AB is indefinitely diminished , the limit , that is the final value , of AB is a point . ( 2. ) If ABCD be a surface and the line DC move up continuously towards AB , then when the breadth Б ...
Σελίδα 17
... ultimately vanishes is 0 ; or the limit of the product of two quantities , when one of them ultimately vanishes , is zero . 12. When one quantity is divided by another , the quotient becomes larger as the divisor becomes smaller . α α α ...
... ultimately vanishes is 0 ; or the limit of the product of two quantities , when one of them ultimately vanishes , is zero . 12. When one quantity is divided by another , the quotient becomes larger as the divisor becomes smaller . α α α ...
Σελίδα 18
... ultimately , when the number of sides of the inscribed polygon is infinite , the area of the polygon is equal to the area of the circle . For if they are not ultimately equal , let them be ultimately unequal . Then there must be a ...
... ultimately , when the number of sides of the inscribed polygon is infinite , the area of the polygon is equal to the area of the circle . For if they are not ultimately equal , let them be ultimately unequal . Then there must be a ...
Σελίδα 20
... ultimately when the number of terms is indefinitely increased , the series == ' i . IV . The Form 15. Suppose we have to find the value of the fraction a2 - b2 in the limit , when b continually increases , and α- -b ultimately becomes ...
... ultimately when the number of terms is indefinitely increased , the series == ' i . IV . The Form 15. Suppose we have to find the value of the fraction a2 - b2 in the limit , when b continually increases , and α- -b ultimately becomes ...
Σελίδα 21
... ultimately arrive at it . 16. The value of a ratio is not altered if we divide its two terms by the same quantity , or , which is the same thing , the value of a fraction is not altered if we divide both the numerator and denominator by ...
... ultimately arrive at it . 16. The value of a ratio is not altered if we divide its two terms by the same quantity , or , which is the same thing , the value of a fraction is not altered if we divide both the numerator and denominator by ...
Συχνά εμφανιζόμενοι όροι και φράσεις
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.
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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.