## Recreations in mathematics and natural philosophy, recomposed by m. Montucla and tr. by C. Hutton1840 |

### From inside the book

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**remainder**6 to the corresponding column above at A , and the sum total will be 23. Write down 3 at the bottom , and because there were here two tens , as before , there is nothing to be reserved or carried . Add , in like manner , the ... Page 10

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**remainder**, the division is perfect and complete . Remark . - Mathematicians have not confined themselves to endeavouring to simplify the operations of arithmetic by such means : they have attempted something more , and have tried to ... Page 13

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**remainder**will always be 0. This may be easily proved by trying different multiples of 9 , such as 18 , 27 , 36 , & c . This observation may be of utility , to enable us to discover whether a given num- ber be divisible by 9 , for in ... Page 15

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**remainders**will be divisible by 8 . If a square number be either multiplied or divided by a square , the product or the quotient will be a square . If a number be not a complete square , its square root cannot be represented either by ... Page 18

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**remainder**of 1 , 2 , 3 , 4 , or 5 ; that is , every number is of one of the forms 6 n , 6 n + 1 , 6 n +2 , 6n + 3 , 6n + 4 , or 6 n + 5 . But the first and fifth of these are divisible by 2 , and the fourth is divisible by 3 , and are ...### Contents

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### Other editions - View all

Recreations in Mathematics and Natural Philosophy, Recomposed by M. Montucla ... Jacques Ozanam No preview available - 2018 |

Recreations in Mathematics and Natural Philosophy, Recomposed by M. Montucla ... Jacques Ozanam No preview available - 2015 |

Recreations in Mathematics and Natural Philosophy, Recomposed by M. Montucla ... Jacques Ozanam No preview available - 2019 |

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### Popular passages

Page 254 - A CENTURY OF THE NAMES AND SCANTLINGS OF SUCH INVENTIONS, as at present I can call to mind to have tried and perfected...

Page 333 - Difference of colour if therefore not a test of difference of refrangibility, and the conclusion deduced by Newton is no longer admissible as a general truth : " That to the same degree of refrangibility ever belongs the same colour, and to the same colour ever belongs the same degree of refrangibility.

Page 138 - From this it is manifest that the side of the hexagon is equal to the radius of the circle.

Page 475 - The rings of Saturn must present a magnificent spectacle from those regions of the planet which lie above their enlightened sides, as vast arches spanning the sky from horizon to horizon, and holding an invariable situation among the stars. On the other hand, in the regions beneath the dark side, a solar eclipse of fifteen years...

Page 254 - An admirable and most forcible way to drive up water by fire, not by drawing or sucking it upwards, for that must be as the philosopher calleth it, infra spheeram activitatis, which is but at such a distance. But this way hath no bounder, if the vessels be strong enough ; for I have taken a piece of a whole cannon, whereof the end was burst, and filled it...

Page 344 - And if he hold out his hand towards the mirror, the hand of the image will come out towards his hand, and coincide with it, of an equal bulk, when his hand is in the centre of concavity; and he will imagine he may shake hands with his image.

Page 450 - But since the mean synodic motion of the moon is at the rate of 30" per minute, it follows that the duration of a total solar eclipse can never exceed four minutes.

Page 254 - One vessel of water rarefied by fire driveth up forty of cold water, and a man that tends the work has but to turn two cocks; that one vessel of water being consumed, another begins to force and refill with cold water, and so successively ; the fire being tended and kept constant, which the selfsame person may likewise abundantly perform in the interim between the necessity of turning the said cocks.

Page 333 - ... very little of the violet. The yellow space, which has not been much absorbed, has increased in breadth. It occupies part of the space formerly covered by the orange on one side, and part of the space formerly covered by the green on the other. Hence it follows, that the blue glass has absorbed the red light, which, when mixed with the yellow light, constituted orange, and has absorbed also the blue light, which, when mixed with the yellow, constituted the part of the green space next to the...

Page 291 - ... each side, make two marks ; then place yourself directly opposite to the paper, and hold the end of your finger before your face in such a manner, that when the right eye is open, it shall conceal the mark on the left, and, when the left eye is open, the mark on the right : if you then look with both eyes to the end of your finger, the paper, which is not at all concealed by it from either of your eyes, will, nevertheless, disappear.