Differential calculus for beginners |
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Side 34
... column re- presents the time in seconds during which the body is falling ; the second column gives the corresponding spaces through which the body falls ( in feet ) ; the third column is obtained from the second by sub- tracting each ...
... column re- presents the time in seconds during which the body is falling ; the second column gives the corresponding spaces through which the body falls ( in feet ) ; the third column is obtained from the second by sub- tracting each ...
Side 36
... column in each case represents the inde- pendent variable , as it increases uniformly by incre- ments of 01 , 001 , 0001 and 00001 respectively . The numbers in the second columns are the squares of 36 DIFFERENTIAL CALCULUS .
... column in each case represents the inde- pendent variable , as it increases uniformly by incre- ments of 01 , 001 , 0001 and 00001 respectively . The numbers in the second columns are the squares of 36 DIFFERENTIAL CALCULUS .
Side 37
... column to the left . The numbers in the fourth column are the second differences , each being the difference between the two numbers immediately above and below it , in the column to the left . In each of the cases ( 1 ) , ( 2 ) , ( 3 ) ...
... column to the left . The numbers in the fourth column are the second differences , each being the difference between the two numbers immediately above and below it , in the column to the left . In each of the cases ( 1 ) , ( 2 ) , ( 3 ) ...
Side 47
... column , the squares of these reciprocals ; in the third column , the equivalents of these squares . It will be seen from the first and third columns that , as the variable 1 increases , the function ( viz . , the square of the ...
... column , the squares of these reciprocals ; in the third column , the equivalents of these squares . It will be seen from the first and third columns that , as the variable 1 increases , the function ( viz . , the square of the ...
Side 48
... column , as before , 50. Now in ( 2 ) the number 2 increments of 001. The first represents the reciprocals of the successive values of the variable , the second column the squares of these reciprocals , etc .; and it will be seen that ...
... column , as before , 50. Now in ( 2 ) the number 2 increments of 001. The first represents the reciprocals of the successive values of the variable , the second column the squares of these reciprocals , etc .; and it will be seen that ...
Vanlige uttrykk og setninger
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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