Differential Calculus with Applications and Numerous Examples: An Elementary Treatise... |
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Page 21
... perpendicular from P upon OA and AQ the tangent at A , meeting OP produced in Q. Join P , A. p Then Fig . 2 . N arc AP = a0 and is of the first order , NP - a sin 0 do . do . , AQ = a tan 0 do . do . , Ꮎ chord AP = 2a sin do . do ...
... perpendicular from P upon OA and AQ the tangent at A , meeting OP produced in Q. Join P , A. p Then Fig . 2 . N arc AP = a0 and is of the first order , NP - a sin 0 do . do . , AQ = a tan 0 do . do . , Ꮎ chord AP = 2a sin do . do ...
Page 23
... before ( Art . 33 ) , if APB be the triangle and PM the perpendicular on AB , AP - AM and BP - BM are both small quantities of the second order as compared with AB . Hence AP + PB - AB is of the second DEFINITIONS . LIMITS . 23.
... before ( Art . 33 ) , if APB be the triangle and PM the perpendicular on AB , AP - AM and BP - BM are both small quantities of the second order as compared with AB . Hence AP + PB - AB is of the second DEFINITIONS . LIMITS . 23.
Page 24
... perpendicular from that point upon the chord . Let AP , BP be the tangents at A and B. Then , when A and B are taken sufficiently near together , the chord AB and the angles at A and B may each be considered small quanti- ties of at ...
... perpendicular from that point upon the chord . Let AP , BP be the tangents at A and B. Then , when A and B are taken sufficiently near together , the chord AB and the angles at A and B may each be considered small quanti- ties of at ...
Page 25
... perpendicular to AQ , show that the triangle PMQ is of the fifth order of smallness . 3. A straight line of constant length slides between two straight lines at right angles , viz . , CAa , CbB ; AB and ab are two positions of the line ...
... perpendicular to AQ , show that the triangle PMQ is of the fifth order of smallness . 3. A straight line of constant length slides between two straight lines at right angles , viz . , CAa , CbB ; AB and ab are two positions of the line ...
Page 26
... perpendicular from P on QN . Join P , Q , and let QP be produced to cut OX at T. When Q , travelling along the curve , approaches in- definitely near to P , the chord QP becomes in the limit the tangent at P. QR and PR both ultimately ...
... perpendicular from P on QN . Join P , Q , and let QP be produced to cut OX at T. When Q , travelling along the curve , approaches in- definitely near to P , the chord QP becomes in the limit the tangent at P. QR and PR both ultimately ...
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Differential Calculus With Applications and Numerous Examples: An Elementary ... Joseph Edwards No preview available - 2006 |
Common terms and phrases
A. W. VERRALL ALGEBRA angle ARITHMETIC Assistant-Master asymptote axis BEGINNERS BOOK Cambridge CHEMISTRY chord Christ's College circle Clifton College co-ordinates conic Crown 8vo curvature cusp d²y denote differential coefficient dx dx dx dy dx² dy dx ELEMENTARY English EXAMPLES expansion Extra fcap Fcap Fellow of St Fellow of Trinity function Geometrical given Globe 8vo Greek Hence HISTORY independent variable John's College late Fellow LATIN Lecturer LL.D Macmillan's Master Mathematics normal origin Owens College Oxford p(x+h parabola pedal equation perpendicular point of inflexion polar positive pedal PRIMER Professor prove quantity radius School Second Edition Show straight line tangent Taylor's Theorem Translated TREATISE Trinity College University University of Cambridge Vocabulary ди ди ду дх эф Эх
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