## 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

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Page vii

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**periods**to our own time ! Such a work , well executed , might be considered as a history of the human mind ; because it is in this science , more than in any other , that man shows the excellence and intelligence which God has given him ... Page xv

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**period**. The author had collected materials for bring- ing it down to the present day ; but they were not prepared for the press at the time of his death , which happened in 1799. His manu- scripts , revised , corrected , and enlarged ... Page xxiii

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**PERIOD**THE FIRST . Page Nations 1 STATE OF THE MATHEMATICS , FROM THEIR ORIGIN ΤΟ THE DESTRUCTION OF THE SCHOOL СНАР . 1 . Origin and Progress of Arithmetic ALEXANDRIAN 14 ib . CHAP . II . Origin and Progress of Geometry 22 CHAP . III ... Page xxiv

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**PERIOD**THE THIRD . PROGRESS OF THE MATHEMATICS , FROM THE END OF THE FIFTEENTH CENTURY TO THE INVENTION OF THE METHOD OF FLUXIONS . • 170 172 176 177 179 185 191 - 204 The Progress of Analysis СНАР . 1 . 206 CHAP . II . Progress of ... Page xxv

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**PERIOD**THE FOURTH . PROGRESS OF MATHEMATICS , FROM THE DISCOVERY OF FLUXIONS TO THE PRESENT DAY CHAP . I. The Discovery of the Analysis of Infinites : Leibnitz first published it's Elements ; Newton employed a similar Method in his ...### 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...