Differential Calculus with Applications and Numerous Examples: An Elementary Treatise... |
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Page xi
... Conic , Cubic , etc. , . 188-190 Pedal Equation of a Curve , 191-193 Pedal Curves , 194 Tangential - Polar Equation , 195-199 Important Geometrical Results , 200 Tangential Equation , • 171-172 172-174 • 174-175 175-177 177-181 181 181 ...
... Conic , Cubic , etc. , . 188-190 Pedal Equation of a Curve , 191-193 Pedal Curves , 194 Tangential - Polar Equation , 195-199 Important Geometrical Results , 200 Tangential Equation , • 171-172 172-174 • 174-175 175-177 177-181 181 181 ...
Page xiii
... Conic of Closest Contact ,. 301 Tangent and Normal as Axes ; x and y in terms of s , CHAPTER XI . ENVELOPES . PAGES . 288-293 293-294 294-297 297-298 302-303 Families of Curves ; Parameter ; Envelope , The Envelope touches each of the ...
... Conic of Closest Contact ,. 301 Tangent and Normal as Axes ; x and y in terms of s , CHAPTER XI . ENVELOPES . PAGES . 288-293 293-294 294-297 297-298 302-303 Families of Curves ; Parameter ; Envelope , The Envelope touches each of the ...
Page 162
... the general equation of a conic ax2 + 2hxy + by2 + 2gx + 2fy + c = 0 . When made homogeneous this becomes ax2 + 2hxy + by2 + 2gxz + 2fyz + cz2 = 0 . The equation of the tangent is therefore X ( ax + hy + g ) + Y 162 TANGENTS AND NORMALS .
... the general equation of a conic ax2 + 2hxy + by2 + 2gx + 2fy + c = 0 . When made homogeneous this becomes ax2 + 2hxy + by2 + 2gxz + 2fyz + cz2 = 0 . The equation of the tangent is therefore X ( ax + hy + g ) + Y 162 TANGENTS AND NORMALS .
Page 173
... conic , a cubic , a quartic are the second , sixth , twelfth respectively . 185. Number of Normals which can be drawn to a Curve to pass through a given point . Let h , k be the point through which the normals are to pass . The equation ...
... conic , a cubic , a quartic are the second , sixth , twelfth respectively . 185. Number of Normals which can be drawn to a Curve to pass through a given point . Let h , k be the point through which the normals are to pass . The equation ...
Page 174
... conic is a straight line , the first polar with regard to a cubic is a conic , and so on . The first polar of the origin is given by df 0 . dz If the curve be put in the form Un + Un - 1 + Un - 2 + ... + u2 + u12 + u1 = 0 the first ...
... conic is a straight line , the first polar with regard to a cubic is a conic , and so on . The first polar of the origin is given by df 0 . dz If the curve be put in the form Un + Un - 1 + Un - 2 + ... + u2 + u12 + u1 = 0 the first ...
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Differential Calculus With Applications and Numerous Examples: An Elementary ... Joseph Edwards No preview available - 2006 |
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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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