Mathematical Essays, Doctrinal and Critical: Upon the Differential and Integral Calculus, Being in Vindication of the Newtonian Law of Indefinite DiminutionJohnstone and Hunter, 1854 - 133 sider |
Almindelige termer og sætninger
2nd term 2ndly abscissa absolute accordingly algebraic sum algebraical altogether analysis analytical applied arithmetic assigned Astronomy becomes betwixt binomial theorem co-efficients conceived connection continuous quantity curve D'Alembert definition degree demonstration denoting determine Differential and Integral Differential Calculus doctrine of fluxions equal equation ESSAY ESSAY II Euclid evanescent example expansion expressed finite functions finite magnitude finite quantity finite relation finite sense finite value fluxionary fraction ƒ x Geometry given Herschel illustration increments indefinite diminution infinitely small infinitesimal infinitesimal calculus integer scale Integral Calculus Lagrange Leibnitz less limiting ratio mathematical method method of fluxions Newton Newtonian object obtained ordinate powers of h principle of indefinite proposition Ptolemy Regiomontanus represent residual respect second term sophism subdivision subtangent supposed tangent Theory tion variable velocity
Populære passager
Side 10 - ... thought worthy to succeed her father in that distinguished and important employment, the government of the school of Alexandria ; and to teach out of that chair, where Ammonius, Hierocles, and many other great men, had taught before, and this at a time too when men of great learning abounded, both at Alexandria and in many other parts of the Roman empire.
Side 10 - Alexandrian school, was born at Alexandria about the end of the fourth century. Her father, encouraged by her extraordinary genius, had her not only educated in all the ordinary qualifications of her sex, but instructed in the most abstruse sciences. She made such great progress in philosophy, geometry, astronomy, and the mathematics, that she passed for the most learned person of her time.
Side 11 - But it was not Synesius only, and the disciples of the Alexandrian school, who admired Hypatia for her virtue and learning ; never was woman more caressed by the public, and yet never woman had a more unspotted character, or more tragical end.
Side 10 - Hierocles, and many other great men, had taught before, and this at a time too when men of great learning abounded, both at Alexandria and in many other parts of the Roman empire. Her fame was so extensive, and her worth so universally acknowledged, that we cannot wonder if she had a crowded auditory. ' She explained to her hearers...
Side 11 - ... drew her among the greatest concourse of men, without the least censure of her manners. In a word, when Nicephorus intended to pass the highest compliment on the princess Eudocia, he thought he could not do it better than by calling her another Hypatia.
Side 63 - Truth, whether in or out of fashion, is the measure of knowledge, and the business of the understanding ; whatsoever is besides that, however authorized by consent, or recommended by rarity, is nothing but ignorance, or something worse.
Side 47 - Per ultimam rationem quantitatum evanescentium, intelligendam esse rationem quantitatum, non antequam evanescunt, non postea, sed quacum evanescunt," seems to leave a margin for misconception, and there is no doubt this misconception has operated to the obscuration and disadvantage of the science. The intended meaning, as a matter of course...
Side 10 - Hypatia was), all greedily swallowing instruction from her mouth, and many of them, doubtless, love from her eyes ; though we are not sure that she ever listened to any solicitations...
Side 11 - Cyril the patriarch, proved fatal to the lady. In 415, about 500 monks attacked the governor, and would have killed him, had he not been rescued by the townsmen ; but the respect which Orestes had for Hypatia causing her to be traduced among the mob, they dragged her from her chair, tore her to pieces, and burned her limbs.
Side 10 - Africa, all greedily swallowing instruction from her mouth, and many of them, doubtless, love from her eyes ; though we are not sure that she ever listened to any solicitations, since Suidas, who talks of her marriage with Isidorus, yet relates at the same time that she died a maid.