An Elementary Treatise On the Integral Calculus Containing Applications to Plan
An Elementary Treatise On the Integral Calculus Containing Applications to Plan
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In our eReader you can find the full English version of the book. Read An Elementary Treatise On the Integral Calculus Containing Applications to Plan 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 Elementary Treatise On the Integral Calculus Containing Applications to Plan
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2 17. From the centre of an ellipse a tangent is drawn to a semicircle described on an ordinate to the axis major ; prove that the polar equation of the locus of the point of contact is a 2 * 2 b 2 + (a 2 + P) tan 2 6 and that the whole area of the locus is 2 V / « 2 -r* 2 + * 18. Apply the three methods of approximation of Art. 148 to the calculation to 6 decimal places of the definite integral I, adopting — as the common Jo 1 +a? 12 interval in each case. Ans. (1), . 693669. (2), . 693266. (3...), . 693224.
The 'eal value of the integral being log 2, or . 693147, to the same number of decimal places.
1 9. Prove that the sectorial area bounded by two focal vectors r and r' of a parabola is represented by where e is the chord of the arc, and a the semiparameter of the parabola.
Examples. 221 20. Show that the whole area of the inverse of the ellipse — + — = i is a* b z represented by irk* (r I H_l\ (l_P\\ V a* b*] where a, £, are the co-ordinates of the origin of inversion, and k is the radius of the circle of inversion.
What to read after An Elementary Treatise On the Integral Calculus Containing Applications to Plan?
You can find similar books in the "Read Also" column, or choose other free books by Benjamin Williamson to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
2 17. From the centre of an ellipse a tangent is drawn to a semicircle described on an ordinate to the axis major ; prove that the polar equation of the locus of the point of contact is a 2 * 2 b 2 + (a 2 + P) tan 2 6 and that the whole area of the locus is 2 V / « 2 -r* 2 + * 18. Apply the three methods of approximation of Art. 148 to the calculation to 6 decimal places of the definite integral I, adopting — as the common Jo 1 +a? 12 interval in each case. Ans. (1), . 693669. (2), . 693266. (3...), . 693224.
The 'eal value of the integral being log 2, or . 693147, to the same number of decimal places.
1 9. Prove that the sectorial area bounded by two focal vectors r and r' of a parabola is represented by where e is the chord of the arc, and a the semiparameter of the parabola.
Examples. 221 20. Show that the whole area of the inverse of the ellipse — + — = i is a* b z represented by irk* (r I H_l\ (l_P\\ V a* b*] where a, £, are the co-ordinates of the origin of inversion, and k is the radius of the circle of inversion.
What to read after An Elementary Treatise On the Integral Calculus Containing Applications to Plan?
You can find similar books in the "Read Also" column, or choose other free books by Benjamin Williamson to read onlineMoreLess
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