Differential Calculus with Applications and Numerous Examples: An Elementary Treatise...Macmillan, 1886 - 439 páginas |
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Página xi
... TANGENTS AND NORMALS . 169-171 Equation of Tangent in various Forms , 172 173 Equation of Normal , Tangents at the Origin , Cartesians and Polars , 174-178 Geometrical Results . 179-181 Polar Subtangent , Subnormal , etc. , 182-183 ...
... TANGENTS AND NORMALS . 169-171 Equation of Tangent in various Forms , 172 173 Equation of Normal , Tangents at the Origin , Cartesians and Polars , 174-178 Geometrical Results . 179-181 Polar Subtangent , Subnormal , etc. , 182-183 ...
Página 7
... TANGENT is another example . DEF . Let PQ be a chord joining P , Q , two adjacent points on a curve . Let Q travel along the curve towards P and come so close as ultimately to coincide with P. Then the limiting position of PQ , viz . PT ...
... TANGENT is another example . DEF . Let PQ be a chord joining P , Q , two adjacent points on a curve . Let Q travel along the curve towards P and come so close as ultimately to coincide with P. Then the limiting position of PQ , viz . PT ...
Página 16
... tangent , etc. , the exponential functions ео- 2 e0 + eo eo - e - 0 are respectively written etc. , 2 eo + e - o ' sinh 0 , cosh 0 , tanh 0 , etc. , and called the hyperbolic sine , cosine , tangent , etc. , of 0 , and as a class are ...
... tangent , etc. , the exponential functions ео- 2 e0 + eo eo - e - 0 are respectively written etc. , 2 eo + e - o ' sinh 0 , cosh 0 , tanh 0 , etc. , and called the hyperbolic sine , cosine , tangent , etc. , of 0 , and as a class are ...
Página 21
... tangent at A , meeting OP produced in Q. Join P , A. 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 . , A chord AP = 2a sin do . do . , NA = a ( 1 - cos ) and is of the second order ...
... tangent at A , meeting OP produced in Q. Join P , A. 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 . , A chord AP = 2a sin do . do . , NA = a ( 1 - cos ) and is of the second order ...
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... and the sum of the tangents AT , TP ; .e . , between chord AP and tangent AR . Hence chord AP , arc AP , tangent AR are in ascending order of magnitude , and are in ascending order of therefore 1 , arc AP 22 DEFINITIONS . LIMITS .
... and the sum of the tangents AT , TP ; .e . , between chord AP and tangent AR . Hence chord AP , arc AP , tangent AR are in ascending order of magnitude , and are in ascending order of therefore 1 , arc AP 22 DEFINITIONS . LIMITS .
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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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