A Geometrical Treatise On Conic Sections. With Numerous Examples ..
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In our eReader you can find the full English version of the book. Read A Geometrical Treatise On Conic Sections. With Numerous Examples .. Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book A Geometrical Treatise On Conic Sections. With Numerous Examples ..
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To quickly assess the difficulty of the text, read a short excerpt:
Draw EQW parallel to OP, meeting the circle in W, and TP produced in B.
Also, draw QF parallel to PB, meeting the diameter PP' in V; then since ^P touches the circle at P, 104 CONIC SECTIONS.
CP\ {Prop. XXVI.) : CP^ GP\ .■.RQ.BW= PB\ {Euclid, III. 36) oiPV.BW= QV\ ButQV'iPV.P'Vi: 017 ■.PV. RW : PV . P'V :: GIT ovBW-.PV:: CD' Now, when the circle becomes the circle of curvature at P, the points B and Q move up to, and coincide with P, and the lines RW and P^ff become equal, while P' V becomes eq...ual to PP', or 2 CP.
B.ence, PH : 20P :: CD' -.OP', ■. PH.GP: 2GP^ :: 2017 : 20P\ . . PH .OP =2 GD\ Pkop, XXX.
If P Z7 be the diameter of the circle of curvature at the point P of the hyperbola, and PF be drawn at right angles to GD; then PU .PF=2GJ}\ CONIC SECTIONS. 105 Since the triangle PHU is similar to the triangle PFG, .-. PU : PH :: CP : PF, .-. PU . PF = PH : CP, = 2Giy\ {Prop. XXIX.) Prop. XXXI.
If PI be the chord of the circle of curvature through the focus of the hyperbola ; then PI.AG=^2CD\ Let 8'P meet CD in E; then since the triangles PIU and PFF&ve similar, .-.
What to read after A Geometrical Treatise On Conic Sections. With Numerous Examples ..?
You can find similar books in the "Read Also" column, or choose other free books by William Henry Drew to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Draw EQW parallel to OP, meeting the circle in W, and TP produced in B.
Also, draw QF parallel to PB, meeting the diameter PP' in V; then since ^P touches the circle at P, 104 CONIC SECTIONS.
CP\ {Prop. XXVI.) : CP^ GP\ .■.RQ.BW= PB\ {Euclid, III. 36) oiPV.BW= QV\ ButQV'iPV.P'Vi: 017 ■.PV. RW : PV . P'V :: GIT ovBW-.PV:: CD' Now, when the circle becomes the circle of curvature at P, the points B and Q move up to, and coincide with P, and the lines RW and P^ff become equal, while P' V becomes eq...ual to PP', or 2 CP.
B.ence, PH : 20P :: CD' -.OP', ■. PH.GP: 2GP^ :: 2017 : 20P\ . . PH .OP =2 GD\ Pkop, XXX.
If P Z7 be the diameter of the circle of curvature at the point P of the hyperbola, and PF be drawn at right angles to GD; then PU .PF=2GJ}\ CONIC SECTIONS. 105 Since the triangle PHU is similar to the triangle PFG, .-. PU : PH :: CP : PF, .-. PU . PF = PH : CP, = 2Giy\ {Prop. XXIX.) Prop. XXXI.
If PI be the chord of the circle of curvature through the focus of the hyperbola ; then PI.AG=^2CD\ Let 8'P meet CD in E; then since the triangles PIU and PFF&ve similar, .-.
What to read after A Geometrical Treatise On Conic Sections. With Numerous Examples ..?
You can find similar books in the "Read Also" column, or choose other free books by William Henry Drew to read onlineMoreLess
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