A General History of Mathematics from the Earliest Times to the Middle of the Eighteenth Century. Tr. from the French of John [!] Bossut ... To which is Affixed a Chronological Table of the Most Eminent MathematiciansJ. Johnson, 1803 - 540 pages |
From inside the book
Results 1-5 of 23
Page xix
... Galileo , des Cartes , Huygens , Newton , and Leibnitz ; and it will not then be so easily determined , to which side the balance ought to incline . I shall likewise combat , or at least en- deavour to weaken , a reproach made to ma ...
... Galileo , des Cartes , Huygens , Newton , and Leibnitz ; and it will not then be so easily determined , to which side the balance ought to incline . I shall likewise combat , or at least en- deavour to weaken , a reproach made to ma ...
Page 194
... to any one , for which two hundred years afterward , when it was supported by more substantial argu- ments , Galileo was confined in the dungeons of the Inquisition . Purbach , III , Purbach , who was born in 1421 , 191.
... to any one , for which two hundred years afterward , when it was supported by more substantial argu- ments , Galileo was confined in the dungeons of the Inquisition . Purbach , III , Purbach , who was born in 1421 , 191.
Page 234
... Galileo , on whose death they fell into the hands of Torricelli , his pupil , and the inheritor of his papers . Torricelli was so much affected by this charge of plagiarism , that it brought him to his grave in the flower of his age ...
... Galileo , on whose death they fell into the hands of Torricelli , his pupil , and the inheritor of his papers . Torricelli was so much affected by this charge of plagiarism , that it brought him to his grave in the flower of his age ...
Page 243
... Galileo composed a little treatise on statics , which he reduced to this single principle : it requires an equal power , to raise two different bodies to heights in the inverse ratio of their weights ; that is to say , the same power ...
... Galileo composed a little treatise on statics , which he reduced to this single principle : it requires an equal power , to raise two different bodies to heights in the inverse ratio of their weights ; that is to say , the same power ...
Page 244
... Galileo . It does not enter into my plan , to relate the prac- tical applications made of the principles of me- chanics : yet I cannot avoid remarking here inciden- tally , that Claude Perrault , so much decried by Boileau , who was ...
... Galileo . It does not enter into my plan , to relate the prac- tical applications made of the principles of me- chanics : yet I cannot avoid remarking here inciden- tally , that Claude Perrault , so much decried by Boileau , who was ...
Other editions - View all
A General History of Mathematics From the Earliest Times to the Middle of ... John Bonnycastle,Charles Bossut No preview available - 2023 |
A General History of Mathematics from the Earliest Times to the Middle of ... John Bonnycastle,Charles Bossut No preview available - 2015 |
A General History of Mathematics from the Earliest Times to the Middle of ... Charles Bossut No preview available - 2019 |
Common terms and phrases
Academy afterward algebra Almagest analysis of infinites ancient angle appeared arabs Archimedes arithmetic astro astronomy axis blems bodies calculation Cartes celebrated celestial centre of gravity century CHAP circle Clairaut comets conic sections considered curve cycloid d'Alembert Daniel Bernoulli degree demonstrated determined differential calculus discovery Earth ecliptic ellipsis employed equal equilibrium errour Euler fluid formulæ Galileo gave genius geometricians geometry given glass Hipparchus Huygens invention isochronous curve James Bernoulli John Bernoulli Jupiter known laws Leibnitz length likewise lunar marquis de l'Hopital mathematicians mathematics maxima and minima means mechanics meridian method of fluxions Moon motion nature Newton Nicholas Bernoulli object observations occasion optics orbit particular planets principle problem progress proposed Ptolemy published quadratures quantity ratio rays refraction resolved respect revolution round simple solar solid solution spherical spheroid square stars supposed tangents telescope theory tion treatise truth velocity
Popular passages
Page 61 - ... any account of them in writing. For he considered all attention to Mechanics, and every art that ministers to common uses, as mean and sordid, and placed his whole delight in those intellectual speculations, which, without any relation to the necessities of life, have an intrinsic excellence arising from truth and demonstration only.
Page 61 - ... he did not think the inventing of them an object worthy of his serious studies, but only reckoned them among the amusements of geometry. Nor had he gone so far, but at the pressing instances of...
Page 163 - In the dial-plate there were twelve small windows, corresponding with the divisions of the hours. The hours were indicated by the opening of the windows, which let out little metallic balls, which struck the hour by falling upon a brazen bell.
Page 138 - AVhcu a summons is sent to me I will take this stone, and, placing myself in the sun, I will, though at a distance, melt all the writing of the summons.
Page 30 - ... to have led to the discoveries of other geometrical properties, as the conchoid of Nicomedes, the cissoid of Diocles, and the quadratrix of Dinostratus. This latter geometrician was the follower and friend of Plato, whose devotion to the science of geometry was such that he caused it to be inscribed over the door of his school, ' Let no one enter here who is ignorant of geometry.
Page 61 - Yet Archimedes had such a depth of understanding, such a dignity of sentiment, and so copious a fund of mathematical knowledge, that, though in the invention of these machines he gained the reputation of a man endowed with divine rather than human knowledge, yet he did not vouchsafe to leave any account of them in writing.
Page 65 - The reason is, all bodies lose some of their weight in a fluid, and the weight which a body loses in a fluid, is to its whole weight, as the specific gravity of the fluid is to that of the body.
Page 95 - Sunt Aries, Taurus, Gemini, Cancer. Leo, Virgo, Libraque, Scorpius, Arcitenens, Caper, Amphora, Pisces.
Page 297 - This is the same as saying that when a ray of light passes out of one medium into another, the...
Page 248 - Huyghens demonstrated that the velocity of a body descending down any curve, is the same at every instant, in the direction of the tangent, as it would have...