The Directional Calculus Based Upon the Methods of Hermann Grassmann
The Directional Calculus Based Upon the Methods of Hermann Grassmann
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In our eReader you can find the full English version of the book. Read The Directional Calculus Based Upon the Methods of Hermann Grassmann 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 The Directional Calculus Based Upon the Methods of Hermann Grassmann
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In (328) suppose q 2 to vary, and replace it by p ; then the equation ^|^^ = . ......... (330) causes p to be always on a straight line passing through the fixed point q l and tangent to the locus of (325). As (330) is of the second degree in p, there must be two such lines ; i. E. Two tangents to the locus through any point q v It will some- times be more convenient to write the equation of the cutting line in the form Pfc+$*J when we must put in (327) x = 1, and e for q 2, thus obtaining _ gi...|fe V g^gifo, 3 > 31 .
106. Diameters. To find the locus of the middle points of a system of parallel chords of the locus of (325).
In (331) let q l be on the curve, so that we have q^qi = ; then y = iilz!5. At the middle point of a chord having the direction, we have p = q l + \ ye = ^ 1 c.
(332) CHAP. IV. ] SCALAR POINT EQUATIONS. 135 This is the equation of a diameter conjugate in direction to e. Let PI and p 2 be any two points in this diameter, so that we have p l \t = Q and p 2 |
What to read after The Directional Calculus Based Upon the Methods of Hermann Grassmann?
You can find similar books in the "Read Also" column, or choose other free books by E W Edward Wyllys Hyde to read online
To quickly assess the difficulty of the text, read a short excerpt:
In (328) suppose q 2 to vary, and replace it by p ; then the equation ^|^^ = . ......... (330) causes p to be always on a straight line passing through the fixed point q l and tangent to the locus of (325). As (330) is of the second degree in p, there must be two such lines ; i. E. Two tangents to the locus through any point q v It will some- times be more convenient to write the equation of the cutting line in the form Pfc+$*J when we must put in (327) x = 1, and e for q 2, thus obtaining _ gi...|fe V g^gifo, 3 > 31 .
106. Diameters. To find the locus of the middle points of a system of parallel chords of the locus of (325).
In (331) let q l be on the curve, so that we have q^qi = ; then y = iilz!5. At the middle point of a chord having the direction, we have p = q l + \ ye = ^ 1 c.
(332) CHAP. IV. ] SCALAR POINT EQUATIONS. 135 This is the equation of a diameter conjugate in direction to e. Let PI and p 2 be any two points in this diameter, so that we have p l \t = Q and p 2 |
What to read after The Directional Calculus Based Upon the Methods of Hermann Grassmann?
You can find similar books in the "Read Also" column, or choose other free books by E W Edward Wyllys Hyde to read online
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