An Introduction to the Infinitesimal Calculus Notes for the Use of Science And
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In our eReader you can find the full English version of the book. Read An Introduction to the Infinitesimal Calculus Notes for the Use of Science And 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 An Introduction to the Infinitesimal Calculus Notes for the Use of Science And
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(l-e2) (l-e2)2', 2 y2 Putting a2 = and ^>2 = (1 - e2)2 (1 _ e2) ri2e2 (1 - ^2)2 d^ 1 - «2' /Tr'2 . 1*2 we have l + f^'^-^' where ^2 = 0^2^1 _g2^. In this form the origin C is called the centre of the curve, since it bisects every chord which passes through it. This is a;2 y2 clear, since if {x^, y^) lies on -2 + T2= 1> so does {-x^, -Vi)- d de^ Also we notice that CS = . ; 5 -d=, — —. = ae, and that CX=--^ = -. I - e2 g From the symmetry of the equation a;2 y2 a2 + 62-J' it is clear that there ...is another focus, namely, the point {ae, 0) ; and another directrix, the line aj = -, with regard to the axes through the point C. 86 THE CONIC SECTIONS The axis of x is in this case called the major axis, and the axis of y the minor axis. The one is of length 2a ; the other of length 2h. If h had been greater than a, the foci would have lain upon the axis of y, and this axis would have been the major axis. When a and h are known, the eccentricity e is given by In the circle a—h^ and e = 0.
What to read after An Introduction to the Infinitesimal Calculus Notes for the Use of Science And?
You can find similar books in the "Read Also" column, or choose other free books by H S Horatio Scott Carslaw to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
(l-e2) (l-e2)2', 2 y2 Putting a2 = and ^>2 = (1 - e2)2 (1 _ e2) ri2e2 (1 - ^2)2 d^ 1 - «2' /Tr'2 . 1*2 we have l + f^'^-^' where ^2 = 0^2^1 _g2^. In this form the origin C is called the centre of the curve, since it bisects every chord which passes through it. This is a;2 y2 clear, since if {x^, y^) lies on -2 + T2= 1> so does {-x^, -Vi)- d de^ Also we notice that CS = . ; 5 -d=, — —. = ae, and that CX=--^ = -. I - e2 g From the symmetry of the equation a;2 y2 a2 + 62-J' it is clear that there ...is another focus, namely, the point {ae, 0) ; and another directrix, the line aj = -, with regard to the axes through the point C. 86 THE CONIC SECTIONS The axis of x is in this case called the major axis, and the axis of y the minor axis. The one is of length 2a ; the other of length 2h. If h had been greater than a, the foci would have lain upon the axis of y, and this axis would have been the major axis. When a and h are known, the eccentricity e is given by In the circle a—h^ and e = 0.
What to read after An Introduction to the Infinitesimal Calculus Notes for the Use of Science And?
You can find similar books in the "Read Also" column, or choose other free books by H S Horatio Scott Carslaw to read onlineMoreLess
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