Differential Calculus for Beginners: With a Selection of Easy Examples |
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Page 12
... sides , larger than any number that can be mentioned . Suppose the side , in which the points were taken , to become smaller and smaller , we can still take the 12 DIFFERENTIAL CALCULUS .
... sides , larger than any number that can be mentioned . Suppose the side , in which the points were taken , to become smaller and smaller , we can still take the 12 DIFFERENTIAL CALCULUS .
Page 13
... side by side in a vice , so that the two upper surfaces may be in one plane , and squeeze them tightly together ; there will then be repre- sented a line , length and no breadth -or , better still , paint a piece of paper , divided into ...
... side by side in a vice , so that the two upper surfaces may be in one plane , and squeeze them tightly together ; there will then be repre- sented a line , length and no breadth -or , better still , paint a piece of paper , divided into ...
Page 17
... it a regular polygon , and let the number of sides be doubled , then the area of this figure is more nearly equal to the area of the circle than was B that of the original figure . Let the first figure DIFFERENTIAL CALCULUS . 17.
... it a regular polygon , and let the number of sides be doubled , then the area of this figure is more nearly equal to the area of the circle than was B that of the original figure . Let the first figure DIFFERENTIAL CALCULUS . 17.
Page 18
... sides is evidently more nearly equal to the area of the circle by four such triangles as ABC . A B 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 ...
... sides is evidently more nearly equal to the area of the circle by four such triangles as ABC . A B 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 ...
Page 19
... sides is in- definitely increased and their length diminished , is the circle . And the limit of the circumscribed polygon may be shown to be the same . 14. If we convert into a decimal , by dividing the numerator by the denominator ...
... sides is in- definitely increased and their length diminished , is the circle . And the limit of the circumscribed polygon may be shown to be the same . 14. If we convert into a decimal , by dividing the numerator by the denominator ...
Common terms and phrases
A. W. VERRALL angle approximately ARITHMETIC Assistant-Master becomes BEGINNERS BOOK CHEMISTRY Christ's College circle Clifton College Crown 8vo D.Sc Demy 8vo diminish Edited by Rev ELEMENTARY TREATISE ENGLISH EPISTLE Eton College Exercises Extra fcap FASNACHT feet Fellow of St Fellow of Trinity Find the differential formerly Fellow function Globe 8vo GRAMMAR HISTORY 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 Professor of Greek PROSE quantity R. C. JEBB rate of increase rate of variation ratio receive small increments rectangles revised and enlarged Royal School second differences second differential co-efficient Second Edition side space fallen square straight line suppose tangent Text tion Translated Trinity College ultimately University of Cambridge University of Glasgow Vocabulary
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