A Treatise On the Construction Properties And Analogies of the Three Conic Sec
A Treatise On the Construction Properties And Analogies of the Three Conic Sec
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In our eReader you can find the full English version of the book. Read A Treatise On the Construction Properties And Analogies of the Three Conic Sec 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 Treatise On the Construction Properties And Analogies of the Three Conic Sec
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To quickly assess the difficulty of the text, read a short excerpt:
Hence PV : PO ( -- )i: PP : P E(iC), PV=™-^. A, B„H, extremity of the minor axis) the semi-conjugate becomes equal to AC ; hence the chord of curvature passing from B through the 2 AC 2 focus S=^=2AC.
(130. ) At A (the extremity of the major axis) the diameter of (2CD 2, v 2RC 2 ___. _ j=___ r = latus-rectum ;* at B (the extremity 2AC 2 of the minor axis) it is equal to -^^ ; it is therefore least at A, and greatest at B ; hence, by Art. 122, the curvature is greatest at the extremity of the ma...jor axis, and least at the extremity of the minor axis. At the intermediate points between the extremities of the axes, the curvature varies inversely as the cube of the normal. !
rectum, i. E. 2AC : 2BC : : 2BC : latus-rectum * For by Art. 39, major axis : minor axis : : minor axis : latus- 4BC 8 = 2BC 2 2AC AC* CD 8 t The radius of curvature ==^^ . Now by Art. 58, (PI being the Pr normal) PIxPF=BC 2 = a constant quantity, . -. Plac^^. By Art. 62. CDxPF=ACxCB= a constant quantity, . -. CDoc^; Pr 1 CD 2 / 1 \ hence PI acCD.
What to read after A Treatise On the Construction Properties And Analogies of the Three Conic Sec?
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To quickly assess the difficulty of the text, read a short excerpt:
Hence PV : PO ( -- )i: PP : P E(iC), PV=™-^. A, B„H, extremity of the minor axis) the semi-conjugate becomes equal to AC ; hence the chord of curvature passing from B through the 2 AC 2 focus S=^=2AC.
(130. ) At A (the extremity of the major axis) the diameter of (2CD 2, v 2RC 2 ___. _ j=___ r = latus-rectum ;* at B (the extremity 2AC 2 of the minor axis) it is equal to -^^ ; it is therefore least at A, and greatest at B ; hence, by Art. 122, the curvature is greatest at the extremity of the ma...jor axis, and least at the extremity of the minor axis. At the intermediate points between the extremities of the axes, the curvature varies inversely as the cube of the normal. !
rectum, i. E. 2AC : 2BC : : 2BC : latus-rectum * For by Art. 39, major axis : minor axis : : minor axis : latus- 4BC 8 = 2BC 2 2AC AC* CD 8 t The radius of curvature ==^^ . Now by Art. 58, (PI being the Pr normal) PIxPF=BC 2 = a constant quantity, . -. Plac^^. By Art. 62. CDxPF=ACxCB= a constant quantity, . -. CDoc^; Pr 1 CD 2 / 1 \ hence PI acCD.
What to read after A Treatise On the Construction Properties And Analogies of the Three Conic Sec?
You can find similar books in the "Read Also" column, or choose other free books by B Bewick Bridge to read onlineMoreLess
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