Differential Calculus for Beginners: With a Selection of Easy Examples |
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Page 16
... move up con- tinually towards A , then B when , 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 ...
... move up con- tinually towards A , then B when , 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 ...
Page 23
... moves up to B , that is , when b becomes equal to a , the rectangle will have become indefinitely narrow , and the square TV will have vanished altogether ; that is , the gnomon will be represented by twice the line AB , since it will ...
... moves up to B , that is , when b becomes equal to a , the rectangle will have become indefinitely narrow , and the square TV will have vanished altogether ; that is , the gnomon will be represented by twice the line AB , since it will ...
Page 26
... with AB , and let a variable straight line Pp move from A so as to remain always perpendicular to AB , and have one extremity in AB and the other in AC , and take up , at successive periods , 26 DIFFERENTIAL CALCULUS .
... with AB , and let a variable straight line Pp move from A so as to remain always perpendicular to AB , and have one extremity in AB and the other in AC , and take up , at successive periods , 26 DIFFERENTIAL CALCULUS .
Page 32
... moving with accelerated motion ) will not be represented by the increment which it would receive in the next unit of ... move outwards , they must remain of the same length . Hence , BF or DH representing the increase in the variable ...
... moving with accelerated motion ) will not be represented by the increment which it would receive in the next unit of ... move outwards , they must remain of the same length . Hence , BF or DH representing the increase in the variable ...
Page 33
... moving uniformly with a velocity of 3.2 feet per sec . + the space which it would have described without that impulse = ( in feet ) · 16 + 3 · 2 × 1 + 32 × ( 15 ) 2 = · 16 + 32 +16 = '64 feet . = 10 2 10 If the body had not been ...
... moving uniformly with a velocity of 3.2 feet per sec . + the space which it would have described without that impulse = ( in feet ) · 16 + 3 · 2 × 1 + 32 × ( 15 ) 2 = · 16 + 32 +16 = '64 feet . = 10 2 10 If the body had not been ...
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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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