Account of the Life and Writings of Robert Simson, M.D.: Late Professor of Mathematics in the University of GlasgowG. and W. Nicol, 1812 - 190 páginas |
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Account of the Life and Writings of Robert Simson, M. D., Late Professor of ... William Trail No hay ninguna vista previa disponible - 2017 |
Account of the Life and Writings of Robert Simson, M.D.: Late Professor of ... William Trail No hay ninguna vista previa disponible - 2016 |
Términos y frases comunes
æqualis affumed alfo algebraical alſo analyfis ancient geometry angulo APOLLONIUS ARCHIMEDES arcus autem book of PAPPUS cafe cafu COMMANDINE COMMANDINE's tranflation confideration confidered Conic Sections conſtruction correfpondence datam defcribed demonftration deſcription Doctor's Earl STANHOPE edition erit EUCLID EUCLID'S Elements expreffed fame fatisfactory fecond feems feventh book feveral fhall fhort firft firſt folid folution fome ftated fubject fuch funt fuppofed geometrical problems given Glaſgow hæc HALLEY himſelf hoc eft hyperbola igitur interfecting inveſtigation ipfi laſt Lemmata letter linea Loci Plani Locus mathematical mathematicians mentioned method moſt muſt neceffary Note obferved paffage PAPPI particular pofitione Porifms preface PROCLUS Profeffor Prop Propofitions propoſed publiſhed punctum purpoſe quadratum ex quæ quod reaſoning recta rectangulum refolved refpecting remarked reſtoration Rhombus ROBERT SIMSON ſcience Sectio Determinata ſeems SIMSON ſome ſtate ſtraight line ſtudy superficiem thefe theorems theſe thofe thoſe treatiſes uſe vero δὲ ἐν καὶ σε τὰ τὴν τὸ τῶν
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Página 45 - Simson defines a porism to be " a proposition, in which it is proposed to demonstrate, that one or more things are given, between which, and every one of innumerable other things not given, but assumed according to a given law, a certain relation described in the proposition is shown to take place.
Página 123 - We have already seen that quadratic equations have two roots; we shall hereafter show that every equation has as many roots as there are units in the number of its degree.
Página 50 - A proposition affirming the possibility of finding- such conditions as will render a certain problem indeterminate or capable of innumerable solutions.
Página 33 - ... solid figures, in the note on Def. 10. xi. Elem. is curious, from remarking an error, which is so obvious when pointed out, but which had escaped the notice of the many learned and acute geometers, who had paid much attention to Euclid's Elements. An observation cf a similar kind, and about the same time, was made by Mr. Le Sage which is recorded in the History of the Royal Academy of Sciences at Paris for 1756; and another important correction has been more recently made by Le Gendre, of which...
Página 75 - He was esteemed a good classical scholar; and, though the simplicity of geometrical demonstration does not admit of much variety of style, yet in his works a good taste in that respect may be distinguished. In his Latin prefaces also, in which there is some history and discussion, the purity of language has been generally approved. It is to be regretted, indeed, that he had not had an opportunity of employing, in early life, his Greek and mathematical learning, in giving an edition of Pappus in the...
Página 74 - ... distinguishing understanding, an inventive genius, and a retentive memory: and these powers, being excited by an ardent curiosity, produced a singular capacity for investigating the truths of mathematical science. By such talents, with a correct taste, formed by the study of the Greek geometers, he was also peculiarly qualified for communicating his knowledge, both in his lectures and in his writings, with perspicuity and elegance. He was at the same time modest...
Página 3 - In this request he was readily indulged ; and without delay he proceeded to London, where he remained about a year, diligently employed in the improvement of his mathematical knowledge. When the vacancy in the professorship of Mathematics at Glasgow did occur, the University, while Mr. Simson was still in London, appointed him to fill it; and the minute of election, which is dated March 11, 17H> concluded with this very proper condition, " That they will admit the said Mr.
Página 78 - ... in mixed society, and all attempts to do so in his clubs were checked with gravity and decision. In his person, Dr. Simson was tall and erect ; and his countenance, which was handsome, conveyed a pleasing expression of the superior character of his mind. His manner had always somewhat of the fashion which prevailed in the early part of his life, but was uncommonly graceful.
Página 76 - One evening (Friday) in the week he devoted to a club, chiefly of his own selection, which met in a tavern near the college. The first part of the evening was employed in playing the game of whist, of which he was particularly fond ; but, though he took no small trouble in estimating chances, it was remarked that he was often unsuccessful. The rest of the evening was spent...
Página 77 - ... pleasing to every body. He had his own chair and place at table ; he gave instructions about the entertainment, regulated the time of breaking up, and adjusted the expense. These parties, in the years of his severe study, were a desirable and useful relaxation to his mind, and they continued to amuse him till within a few months of his death. Strict integrity and private worth, with corresponding purity of morals, gave the highest value to a character, which, from other qualities and attainments,...