Differential Calculus: With Applications and Numerous Examples; an Elementary TreatiseMacmillan, 1886 - 439 páginas |
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Página xi
... Curve of the nth degree , 172-174 · 187 Polar Line , Conic , Cubic , etc. , 174-175 188-190 Pedal Equation of a Curve , 175-177 191-193 Pedal Curves , 177-181 194 Tangential - Polar Equation , 181 181-186 195-199 Important Geometrical ...
... Curve of the nth degree , 172-174 · 187 Polar Line , Conic , Cubic , etc. , 174-175 188-190 Pedal Equation of a Curve , 175-177 191-193 Pedal Curves , 177-181 194 Tangential - Polar Equation , 181 181-186 195-199 Important Geometrical ...
Página xii
... Curve in general on opposite sides of the Asymptote 230 at opposite extremities . Exceptions , Curvilinear ... Curve , 242-248 258-259 To discriminate the Species of a Cusp , 248-253 260-261 Singularities of Transcendental Curves , 254 ...
... Curve in general on opposite sides of the Asymptote 230 at opposite extremities . Exceptions , Curvilinear ... Curve , 242-248 258-259 To discriminate the Species of a Cusp , 248-253 260-261 Singularities of Transcendental Curves , 254 ...
Página 26
... Curve at a given point . Let AB be an arc of a curve traced in the plane of the the paper , OX a fixed 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 ...
... Curve at a given point . Let AB be an arc of a curve traced in the plane of the the paper , OX a fixed 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 ...
Página 29
... curve may be determined in a similar manner . 38. Equation of Tangent . Let us consider the general case in which the equation of the curve is y = p ( x ) . P M Fig . 10 . X Let the co - ordinates of the points P , Q , on the curve be ...
... curve may be determined in a similar manner . 38. Equation of Tangent . Let us consider the general case in which the equation of the curve is y = p ( x ) . P M Fig . 10 . X Let the co - ordinates of the points P , Q , on the curve be ...
Página 111
... curve y = p ( x ) , and let x + h , p ( x + h ) be the co - ordinates of another point Q , also on the curve . And suppose the curve and the inclination of the tangent to the curve to the axis of x to be continuous and finite between P ...
... curve y = p ( x ) , and let x + h , p ( x + h ) be the co - ordinates of another point Q , also on the curve . And suppose the curve and the inclination of the tangent to the curve to the axis of x to be continuous and finite between P ...
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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 independent variable infinite intersection intrinsic equation inverse John's College late Fellow limit LL.D locus MACMILLAN'S EDUCATIONAL CATALOGUE 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
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