Differential Calculus with Applications and Numerous Examples: An Elementary Treatise...Macmillan, 1886 - 439 páginas |
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Página 25
... 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 and P their point of intersection . Show that , in the limit , when the two positions ...
... 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 and P their point of intersection . Show that , in the limit , when the two positions ...
Página 26
... straight line in the same plane . B A M N R X Fig . 6 . Let P , Q , be two points on the curve ; PM , QN , per- pendiculars on OX , and PR the perpendicular from P on QN . Join P , Q , and let QP be produced to cut OX at T. When Q ...
... straight line in the same plane . B A M N R X Fig . 6 . Let P , Q , be two points on the curve ; PM , QN , per- pendiculars on OX , and PR the perpendicular from P on QN . Join P , Q , and let QP be produced to cut OX at T. When Q ...
Página 27
... straight line whose equation is y = mx + c . K R M N X Fig . 7 . Let OX , OY , be the axes , and let the co - ordinates of P be x , y . Then , taking the general construction of the preceding article , the intercept OA = c , for y = c ...
... straight line whose equation is y = mx + c . K R M N X Fig . 7 . Let OX , OY , be the axes , and let the co - ordinates of P be x , y . Then , taking the general construction of the preceding article , the intercept OA = c , for y = c ...
Página 38
... straight line parallel to the axis of x . This makes an angle zero with that axis , and therefore tan or dy dx = 0 . 48. PROP . II . Product of Constant and Function . The differential coefficient of a product of a constant and a ...
... straight line parallel to the axis of x . This makes an angle zero with that axis , and therefore tan or dy dx = 0 . 48. PROP . II . Product of Constant and Function . The differential coefficient of a product of a constant and a ...
Página 161
... straight line through that point and perpendicular to the tangent to the curve at that point . Let the axes be assumed rectangular . The equation of the normal may then be at once written down . For if the equation of the curve be y = f ...
... straight line through that point and perpendicular to the tangent to the curve at that point . Let the axes be assumed rectangular . The equation of the normal may then be at once written down . For if the equation of the curve be y = f ...
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Differential Calculus With Applications and Numerous Examples: An Elementary ... Joseph Edwards Sin vista previa disponible - 2006 |
Términos y frases comunes
ALGEBRA angle Assistant-Master asymptote axis Cambridge cardioide centre chord circle co-ordinates coincident points conic Crown 8vo cusp cuts the curve cycloid denote differential coefficient dx dx dx dy dy dx ELEMENTARY ellipse envelope EXAMPLES Extra fcap fcap Fellow of Trinity Find function Globe 8vo Hence hyperbola independent variable infinite intersection intrinsic equation inverse John's College late Fellow limit LL.D locus MACMILLAN'S EDUCATIONAL CATALOGUE Mathematics maxima and minima minimum value negative normal ordinate origin Owens College p(x+h parabola parallel pedal equation perpendicular point of contact point of inflexion polar positive pedal PRIMER Professor prove quantity radius of curvature revised School Show straight line tangent Taylor's Theorem Trace the curve Trinity College ultimately coincident vanish whence zero ди ди ду дх Эф
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