A Treatise On the Differential And Integral Calculus And the Calculus of Varia
A Treatise On the Differential And Integral Calculus And the Calculus of Varia
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To quickly assess the difficulty of the text, read a short excerpt:
= 0, be the equation to a curve of n dimensions, prove that the sum of the ordinates divided by their respective subtangents, is a constant quantity.
(29) If C be the centre of a circle, AQ a. Chord, and let CNR be drawn cutting ^Q in N, draw NP perpendicular to .^Q and = NR ; find the locus of P and draw its asymptote.
If 2c be the length of chord, a = radius of circle, origin centre of chord, and the chord be the axis of x, then (y - a)' = x^ + a~ - c'.
(30) ABD is a semicircle, centre C, and... diameter AD, EF is a chord parallel to AD, CQR a radius cutting EF in Q, bisect QR in P; find the locus of P and the position of the asymptote. The curve is the conchoid.
CHAPTER XII.
THE DIFFERENTIALS OF THE AREAS AND LENGTHS OF CURVES: OF THE SURFACES AND VOLUMES OF SOLIDS OF REVOLUTION: SPIRALS.
179. One of the applications of the Integral Calculus is to find the areas of curves included between given ordinates, the lengths of their arcs, and the surfaces and contents of solids.
The solids of which we shall treat are called solids of revolution, since they may be supposed to be generated by the revolution of a plane figure round a line, thus termed an axis.
What to read after A Treatise On the Differential And Integral Calculus And the Calculus of Varia?
You can find similar books in the "Read Also" column, or choose other free books by T G Thomas Grainger Hall to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
= 0, be the equation to a curve of n dimensions, prove that the sum of the ordinates divided by their respective subtangents, is a constant quantity.
(29) If C be the centre of a circle, AQ a. Chord, and let CNR be drawn cutting ^Q in N, draw NP perpendicular to .^Q and = NR ; find the locus of P and draw its asymptote.
If 2c be the length of chord, a = radius of circle, origin centre of chord, and the chord be the axis of x, then (y - a)' = x^ + a~ - c'.
(30) ABD is a semicircle, centre C, and... diameter AD, EF is a chord parallel to AD, CQR a radius cutting EF in Q, bisect QR in P; find the locus of P and the position of the asymptote. The curve is the conchoid.
CHAPTER XII.
THE DIFFERENTIALS OF THE AREAS AND LENGTHS OF CURVES: OF THE SURFACES AND VOLUMES OF SOLIDS OF REVOLUTION: SPIRALS.
179. One of the applications of the Integral Calculus is to find the areas of curves included between given ordinates, the lengths of their arcs, and the surfaces and contents of solids.
The solids of which we shall treat are called solids of revolution, since they may be supposed to be generated by the revolution of a plane figure round a line, thus termed an axis.
What to read after A Treatise On the Differential And Integral Calculus And the Calculus of Varia?
You can find similar books in the "Read Also" column, or choose other free books by T G Thomas Grainger Hall to read onlineMoreLess
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