## 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 Mathematicians |

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Page xxvi

Utility of methods of approximation , and in particular of

Utility of methods of approximation , and in particular of

**infinite**series CHAP . IX . Continuation . Progress of the methods for resolving differential equations . New step in the problem of isoperimetrical figures . Page 10

By the method of fluxions we have been put into possession of an

By the method of fluxions we have been put into possession of an

**infinite**number of problems , inacceffible to all the mathematicians of antiquity . Let us not forget , however , that these great men were our first masters : let us not ... Page 34

... drawing from the other extremity an

... drawing from the other extremity an

**infinite**number of transverse lines cutting the semiperiphery and the directrix ; and taking on each transverse line a point , the distance of which from the commencement of the line is equal to ... Page 44

... and a perspicuity , which afford

... and a perspicuity , which afford

**infinite**satisfaction to the admirers of the ancient geometry , In the seventh book , of which the eighth was a part or a continuation , Apollonius demonstrates , and it was was here these important ... Page 218

This method is applicable to an

This method is applicable to an

**infinite**number of problems in all parts of the mathematics . I shall not here mention several learned algebraists , who , soon after the death of des ...### What people are saying - Write a review

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### Other editions - View all

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 |

A General History of Mathematics from the Earliest Times to the Middle of ... John Bonnycastle,Charles Bossut No preview available - 2015 |

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Academy according already analysis ancient appeared applied astronomy attraction axis bodies calculation called celebrated centre century CHAP circle comets complete considered construction contains continued curve demonstrated determined difficulty direction discovered discovery distance Earth employed equal equations Euler figure fluid fluxions force gave genius geometricians geometry give given glass greater idea infinite invention it's Italy James John Bernoulli kind knowledge known laws learned least Leibnitz length less light likewise manner mathematics means measure mechanics method Moon motion nature Newton object observations occasion origin particular passed period planets position present principle problem produced progress proportion proposed published quantity question rays reason remarkable resolved respect round sides similar simple solid solution space square stars sufficient supposed theory thing tion treatise true truth

### 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...