Differential Calculus with Applications and Numerous Examples: An Elementary Treatise...Macmillan, 1886 - 439 páginas |
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Página 169
... coincident , QP becomes the tangent at P and the angles OQT and OPT are each of them ultimately equal to 4 , and tan = Lt tan NQP = Lt cos = Lt cos NQP = Lt NP rso de Lt = r ; QN Sr dr = NQ chord QP NQ = arc QPLtdr - Lt = sin Ltsin NQP ...
... coincident , QP becomes the tangent at P and the angles OQT and OPT are each of them ultimately equal to 4 , and tan = Lt tan NQP = Lt cos = Lt cos NQP = Lt NP rso de Lt = r ; QN Sr dr = NQ chord QP NQ = arc QPLtdr - Lt = sin Ltsin NQP ...
Página 191
... x , y be the pole of this tangent with regard to U = 0 , the tangent must be coincident with the polar ƏU ƏU au X + Y Эх + 2- = 0 ; ду Əz au COS a дх sin a ду therefore P Ρ ƏU Əz Əz Hence 1 2 ( o ) + ( y ) TANGENTS AND NORMALS . 191.
... x , y be the pole of this tangent with regard to U = 0 , the tangent must be coincident with the polar ƏU ƏU au X + Y Эх + 2- = 0 ; ду Əz au COS a дх sin a ду therefore P Ρ ƏU Əz Əz Hence 1 2 ( o ) + ( y ) TANGENTS AND NORMALS . 191.
Página 229
... coincident cross and recross at the point of contact , as shown at the ultimately coincident points P , Q in Fig . 31 ; so that the immediately neighbouring portions AP , QB must in XII.
... coincident cross and recross at the point of contact , as shown at the ultimately coincident points P , Q in Fig . 31 ; so that the immediately neighbouring portions AP , QB must in XII.
Página 230
... coincident point . Such a point can be seen magnified in Fig . 32 . R Fig . 32 . In this case it is clear that two successive tangents coincide in position : viz , the limiting positions of the chords PQ , QR . The tangent at such a ...
... coincident point . Such a point can be seen magnified in Fig . 32 . R Fig . 32 . In this case it is clear that two successive tangents coincide in position : viz , the limiting positions of the chords PQ , QR . The tangent at such a ...
Página 239
... coincident points , such as P , Q on one branch , and it incidentally intersects the other branch through A in a third point R , ultimately also coinciding with A. Each tangent therefore at such a point intersects the curve in three ...
... coincident points , such as P , Q on one branch , and it incidentally intersects the other branch through A in a third point R , ultimately also coinciding with A. Each tangent therefore at such a point intersects the curve in three ...
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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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