A Geometrical Treatise on Conic Sections, with a copious collection of examples |
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... Prop . IV . " - 11 , - - 11 , 13 , 13 , 24 , - - - 16 , for " AS , " read " AN . " 17 , for " AN , " read " AS . " 18 , for " OQ , " read " SQ . " 66 19 , for OQ ' , " read " SQ " . " 2 , for " radius , " read " diameter . " CONIC ...
... Prop . IV . " - 11 , - - 11 , 13 , 13 , 24 , - - - 16 , for " AS , " read " AN . " 17 , for " AN , " read " AS . " 18 , for " OQ , " read " SQ . " 66 19 , for OQ ' , " read " SQ " . " 2 , for " radius , " read " diameter . " CONIC ...
Page 2
... , and afterwards to show in what manner a Cone must be divided by a plane in order that the curve of intersection may be a Parabola , Ellipse , or Hyperbola . CHAPTER I. THE PARABOLA . PROP . I. 3. THE 2 . CONIC SECTIONS .
... , and afterwards to show in what manner a Cone must be divided by a plane in order that the curve of intersection may be a Parabola , Ellipse , or Hyperbola . CHAPTER I. THE PARABOLA . PROP . I. 3. THE 2 . CONIC SECTIONS .
Page 3
William Henry Drew. CHAPTER I. THE PARABOLA . PROP . I. 3. THE focus and directrix of a parabola being given , to find any number of points on the curve . K P M " P M P M X A S Ꮳ K ' Let S be the focus , and KK ' the directrix . Draw ...
William Henry Drew. CHAPTER I. THE PARABOLA . PROP . I. 3. THE focus and directrix of a parabola being given , to find any number of points on the curve . K P M " P M P M X A S Ꮳ K ' Let S be the focus , and KK ' the directrix . Draw ...
Page 4
... by means of the point of a pencil at P , in contact with the bar , since SP will always be equal to PM , it is evident that the point P will trace out the parabola . PROP . II . 4. The distance of any point 4 CONIC SECTIONS .
... by means of the point of a pencil at P , in contact with the bar , since SP will always be equal to PM , it is evident that the point P will trace out the parabola . PROP . II . 4. The distance of any point 4 CONIC SECTIONS .
Page 5
... Prop . III . ) drawn at right angles to the axis from the point P in the curve is called the Ordinate of the point P , and the line AN the Abscissa . The double ordinate BC drawn through the focus , and terminated both ways by the curve ...
... Prop . III . ) drawn at right angles to the axis from the point P in the curve is called the Ordinate of the point P , and the line AN the Abscissa . The double ordinate BC drawn through the focus , and terminated both ways by the curve ...
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Common terms and phrases
AC² angle ZSP auxiliary circle BC² BERNARD DRAKE bisects the angle CA² Cambridge CD be conjugate CD² centre circle be described circle described circle of curvature cloth CO.'S PUBLICATIONS cone Conic Sections conjugate diameters conjugate hyperbola CP² Crown 8vo curve cutting plane drawn at right drawn parallel ellipse Euclid Fcap Fellow of St Fellow of Trinity focal chord focus intersect John's College join SP late Fellow latus rectum let the tangent M.A. Fellow MACMILLAN & CO.'S major axis mean proportional meet CD meet the axis meet the directrix meet the ellipse meeting the asymptotes pair of tangents parabola parallelogram perpendicular PN² produced to meet Prop prove QV² radius right angles Second Edition triangle Trinity College University of Cambridge vertex
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