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 |
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Page 228
... infinite number of points , from which the lines required may be drawn : he conceived , that all these points might be regarded as placed in the curve de- scribed by a style , made to move on a plane according to the conditions of the ...
... infinite number of points , from which the lines required may be drawn : he conceived , that all these points might be regarded as placed in the curve de- scribed by a style , made to move on a plane according to the conditions of the ...
Page 231
... infinite number of lines , and solids of an infinite number of planes ; and he assumes as a principle , that the ratios of these infinite sums of lines , or planés , compared with the unit in each case , are the same as those of the ...
... infinite number of lines , and solids of an infinite number of planes ; and he assumes as a principle , that the ratios of these infinite sums of lines , or planés , compared with the unit in each case , are the same as those of the ...
Page 240
... infinite number of uses besides . The ancients set great value on simplicity and ele- gance in the construction of geometrical problems . And Sluze , their imitator in this respect , carried the use of geometric loci for the resolution ...
... infinite number of uses besides . The ancients set great value on simplicity and ele- gance in the construction of geometrical problems . And Sluze , their imitator in this respect , carried the use of geometric loci for the resolution ...
Page 241
... infinite series any power of a bino- nomial , whatever the exponent of the power might be , integral or fractional , positive or negative . The infinite series thence resulting for the quadra- ture of the circle was found in another ...
... infinite series any power of a bino- nomial , whatever the exponent of the power might be , integral or fractional , positive or negative . The infinite series thence resulting for the quadra- ture of the circle was found in another ...
Page 273
... infinite with respect to the radius of the terrestrial orbit , though this radius is at least ninety five millions of miles . It will be seen hereafter , that this question was completely solved before the middle of the eighteenth ...
... infinite with respect to the radius of the terrestrial orbit , though this radius is at least ninety five millions of miles . It will be seen hereafter , that this question was completely solved before the middle of the eighteenth ...
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...