Background
Hymers was born 20 July 1803 at Ormesby in Cleveland, Yorkshire. His father was a farmer, and his mother was daughter of John Parrington, rector of Skelton in Cleveland.
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(This historic book may have numerous typos and missing te...)
This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1830 Excerpt: ...to the tangent plane at its extremity is x y z' m n 1 1 Tf+fy+7«zsa1' or-p+ py+ c-z =7-w The equation to a concentric sphere, radius (r), referred to the same axes is (Art. 2.) whichj by reduction, becomes (since as mz, y =nz') x y (m + n cos 7 + cos a)--+ (n + m cos y + cos p) + (1 + mcos a + wcos /3) =-7............(2). r z But since a principal diameter is perpendicular to the tangent plane at its extremity, this plane must coincide with a plane applied at the same point to a concentric sphere. Hence equations (1) and (2) are identical, wzr2 «r2...--73-= m + n Cos 7 + cos a,--= n + m cos 7 + cos p, (a' b' sin yf + (a c' sin a)2 + (b'c' sin/3)2 = (a6y + (ncy + (6c)'.................. (3) (a b'c'f l--2 costt cos/3 0057--cos2a--cos2/3--cos27 = (aftc)2................... (4) which are the three required results. Cor. I. If the conjugate diameters 2a', 26', 2c'3 are each equal to 2.R, then JJ = /-; also, since there are o only two equations viz. (3) and (4) to determine the angles of inclination a, /3, 7, of the conjugate diameters, therefore fliere may be an infinite number of systems of equal conjugate diameters; and their extremities all He in the intersection of the surface, and a concentric sphere, whose equation is Cor. 2. Of all systems of conjugate diameters of an ellipsoid, the principal diameters have their sum a minimum, and the equal diameters their sum a maximum. If possible, let there be a system, not mutually at right angles, whose sum is a minimum. Through any two, which are not at right angles, draw a plane; this will of course cut the surface in an ellipse, of which these two will be conjugate diameters, and their sum will be greater than that of the axes of the section; if therefore we join the two axes of the section to the remai...
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Hymers was born 20 July 1803 at Ormesby in Cleveland, Yorkshire. His father was a farmer, and his mother was daughter of John Parrington, rector of Skelton in Cleveland.
Street John"s College.
After attending school at Witton-le-Wear, Durham, and Sedbergh School, he gained a sizarship at Street John"s College, Cambridge, in 1822. Graduating Bachelor of Arts in 1826 as second wrangler, he was elected fellow in 1827. Hymers was for some years successful with private pupils, and became assistant tutor of his college in 1829, tutor in 1832, senior fellow in 1838, president in 1848.
He was moderator in the mathematical tripos 1833-1834, and Lady Margaret preacher in 1841.
He proceeded Bachelor of Divinity in 1836, and Doctor of Divinity in 1841, and was elected Fellow of the Royal Society 31 May 1838. Hymers never married.
In 1852 he was presented by his college to the rectory of Brandesburton in Holderness, East Yorkshire, and spent there the last 35 years of his life. He was appointed Justice of the Peace for the East Riding in 1857, and enjoyed good health until his death on 7 April 1887.
An obscurity in the wording of the will rendered the bequest invalid, but the heir-at-law spontaneously offered the corporation a sum of £40,000 to fulfil Hymers"s purpose.
Hymers had a portrait of William Wordsworth, to whom he was distantly related, painted by Henry William Pickersgill for his college. He later presented to its library some of the poet"s manuscripts, including a sonnet addressed to the picture.
(This book was originally published prior to 1923, and rep...)
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(This historic book may have numerous typos and missing te...)
(This is a reproduction of a book published before 1923. T...)
(Lang:- English, Pages 241. Reprinted in 2015 with the hel...)
(New)
Royal Society.