Background
Wallace was born at Dysart in Fife, where he received his school education.
(This book, "A geimetrical treatise on the conic sections....)
This book, "A geimetrical treatise on the conic sections. With an appendix, containing formulae for their quadrature, &c", by Wallace, William, 1768-1843, is a replication of a book originally published before 1837. It has been restored by human beings, page by page, so that you may enjoy it in a form as close to the original as possible. This book was created using print-on-demand technology. Thank you for supporting classic literature.
http://www.amazon.com/gp/product/B003AYER1Q/?tag=prabook0b-20
(This historic book may have numerous typos and missing te...)
This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1837 edition. Excerpt: ...equiangular. Therefore LD: ©H = HE: EP, and (16, 6, E.) LD. EP = DH HE = HD1 = HE. If the point A be in the arc of the opposite segment, and hd be drawn parallel to FL, and AE to PF, it will in like manner appear that Lrf EP = hd1 = AE1. Cor. 1. The points D and d being determined as directed in the proposition, LP: LD=LH: LP, and LP: hd = LA: Ld. The triangles DLH, HLP have the angle at L common to both, and the angles DHL, HPL equal, because each is equal to the angle HLK (29, 1, E. and 32, 3, E.), therefore they are equiangular; hence LP: LH = LH: LD (4, 6, E.), and LP: LD (= LP: LIP) = LH: LD (Cor. 19, 6, E.). In the same way it may be proved that LP: hd = LA: Lrf. Cor. 2. If E, the intersection of the chords, HA, PL, be between P and L, the points D, d will be on opposite sides of the point P. For in this case the chord LH will be greater than the chord LP, and the chord LA will be less; therefore LH will be greater than LP, and LA less; consequently (from Cor. 1) LD will be greater than LP, and Lrf less than LP. Cor. 3. If the chord HA which is parallel to the tangent PF, be supposed to approach continually towards that tangent; the points D, d, and E will continually approach to P, and may come nearer to it than any assignable distance. PROPOSITION I. If a circle be described touching a conic section, and cutting off from the diameter that passes through the point of contact a segment greater than the parameter of that diameter; a part of the circumference on each side of the point of contact will be wholly without the conic section; but if it cut off a segment less than the parameter, a part of the circumference on each side of the point of contact will be wholly within the conic section. P Case 1. Let the section be a...
http://www.amazon.com/gp/product/1231995823/?tag=prabook0b-20
Astronomer engineer mathematician civil engineer
Wallace was born at Dysart in Fife, where he received his school education.
University of Edinburgh.
In 1784 his family moved to Edinburgh, where he himself was set to learn the trade of a bookbinder. But his taste for mathematics had already developed itself, and he made such use of his leisure hours that before the completion of his apprenticeship he had made considerable acquirements in geometry, algebra and astronomy. He was further assisted in his studies by John Robison (1739–1805) and John Playfair, to whom his abilities had become known.
After various changes of situation, dictated mainly by a desire to gain time for study, he became assistant teacher of mathematics in the academy of Perth in 1794. This post he exchanged in 1803 for a mathematical mastership in the Royal Military College at Great Marlow, in which post he continued after it moved to Sandhurst, with a recommendation by Playfair. In 1819 he was chosen to succeed John Leslie (or John Playfair?) in the chair of mathematics at Edinburgh.
Wallace developed a reputation for being an excellent teacher. Among his students was Mary Somerville. In 1838 he retired from the university due to ill health.
He died in Edinburgh and was buried in Greyfriars Kirkyard. The grave lies on the north-facing wall in the centre of the northern section. In his earlier years Wallace was an occasional contributor to Leybourne's Mathematical Repository and the Gentleman's Mathematical Companion.
Between 1801 and 1810 he contributed articles on "Algebra", "Conic Sections", "Trigonometry", and several others in mathematical and physical science to the fourth edition of the Encyclopædia Britannica, and some of these were retained in subsequent editions from the fifth to the eighth inclusive. He was also the author of the principal mathematical articles in the Edinburgh Encyclopædia, edited by David Brewster. He also contributed many important papers to the Transactions of the Royal Society of Edinburgh.
He mainly worked in the field of geometry and in 1799 became the first to publish the concept of the Simson line, which erroneously was attributed to Robert Simson. In 1807 he proved a result about polygons with an equal area, that later became known as the Bolyai–Gerwien theorem. His most important contribution to British mathematics however was, that he was one of the first mathematicians introducing and promoting the advancement of the continental European version of calculus in Britain.
Wallace was married to Janet Kerr (1775-1824).
(This historic book may have numerous typos and missing te...)
(This book, "A geimetrical treatise on the conic sections....)
Royal Irish Academy; Royal Astronomical Society. Royal Society of Edinburgh.