Differential Calculus for Beginners: With a Selection of Easy ExamplesMacmillan, 1884 - 112 sider |
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Side 26
... angle 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 .
... angle 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 .
Side 51
... angle BAD will diminish indefinitely and ultimately vanish . " Draw the tangent BT at B ; then the angle BTD continually diminishes as B approaches A , and ulti- mately vanishes . Therefore , a fortiori , the angle BAT which is less ...
... angle BAD will diminish indefinitely and ultimately vanish . " Draw the tangent BT at B ; then the angle BTD continually diminishes as B approaches A , and ulti- mately vanishes . Therefore , a fortiori , the angle BAT which is less ...
Side 52
... angle , the tangent to the arc at its other ex- tremity . 59. If BD be a subtense of the arc ACB , and B move up to A , then will the ultimate ratio of the arc ACB , the chord AB , and the tangent AD be a ratio of equality . " Let AD be ...
... angle , the tangent to the arc at its other ex- tremity . 59. If BD be a subtense of the arc ACB , and B move up to A , then will the ultimate ratio of the arc ACB , the chord AB , and the tangent AD be a ratio of equality . " Let AD be ...
Side 53
... angle bad vanishes , and therefore the point b concides with the point d , and the lines Ab , Ad , and therefore Acb , which lies between them , are equal . Hence also the arc ACB , the chord AB and the tan- gent AD , which are always ...
... angle bad vanishes , and therefore the point b concides with the point d , and the lines Ab , Ad , and therefore Acb , which lies between them , are equal . Hence also the arc ACB , the chord AB and the tan- gent AD , which are always ...
Side 54
... angle OPP ' = 90 ° . Therefore , as the angle POM ( i.e. the arc_AP ) receives very small increments , the differential co- efficient of sin POM = P'N PP ' = sin P'PN = cos NPO = cos POM . And this is of the general form— differential ...
... angle OPP ' = 90 ° . Therefore , as the angle POM ( i.e. the arc_AP ) receives very small increments , the differential co- efficient of sin POM = P'N PP ' = sin P'PN = cos NPO = cos POM . And this is of the general form— differential ...
Vanlige uttrykk og setninger
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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