Recreations in mathematics and natural philosophy, recomposed by m. Montucla and tr. by C. Hutton1840 |
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Page 36
... pass over the space gained by the tortoise , during the preceding time , will go on decreasing in the following manner : 10 , 1 , τὸν τὸος To , & c .; and this series forms a sub - decuple geometrical progression , the sum of which is ...
... pass over the space gained by the tortoise , during the preceding time , will go on decreasing in the following manner : 10 , 1 , τὸν τὸος To , & c .; and this series forms a sub - decuple geometrical progression , the sum of which is ...
Page 80
... pass a second time over the board under the like conditions . For this last solution we are indebted to M. W , a captain in the Kinski regiment of dragoons , in the imperial service . We shall here give four tables , representing these ...
... pass a second time over the board under the like conditions . For this last solution we are indebted to M. W , a captain in the Kinski regiment of dragoons , in the imperial service . We shall here give four tables , representing these ...
Page 81
... pass into the first . His movement therefore is in some measure circular , and interminable , by adhering to the ... passes over it ; or , what will be still better , a counter may be placed in each cell when he has passed it ...
... pass into the first . His movement therefore is in some measure circular , and interminable , by adhering to the ... passes over it ; or , what will be still better , a counter may be placed in each cell when he has passed it ...
Page 117
... pass through them . Fig . 11 . 1 B 2 D Let the three points be those marked 1 , 2 , 3 , ( Fig . 11. ) : from one of them as a centre , that for example marked 2 , and with any radius at pleasure , describe a circle ; and from one of the ...
... pass through them . Fig . 11 . 1 B 2 D Let the three points be those marked 1 , 2 , 3 , ( Fig . 11. ) : from one of them as a centre , that for example marked 2 , and with any radius at pleasure , describe a circle ; and from one of the ...
Page 122
... pass through the two given points . Fig . 22 . D 1 E K M A BL P 23 Let the given line be a B ( Fig . 22. ) and the given points c and D. Join these two points , and on the middle of the line CD raise the perpendicular E F , meeting the ...
... pass through the two given points . Fig . 22 . D 1 E K M A BL P 23 Let the given line be a B ( Fig . 22. ) and the given points c and D. Join these two points , and on the middle of the line CD raise the perpendicular E F , meeting the ...
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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according angle appear arithmetical progression axis barometer bissextile body centre circle circumference colours comet consequently constructed contains cylinder degree describe dial diameter distance divided dominical letter earth electricity ellipsis employed epact equal example experiment feet figure fire fluid geometrical geometrical progression geometricians give given glass globe gravity greater half heat Hence hole horizontal inches inclined Julian period Jupiter kind latitude latter length less light machine magic square magnetic manner means mercury meridian method mirror moon motion multiply nearly necessary object observed ounces parallel Parcieux pass perpendicular piece plane pole polygon pounds PROBLEM produced quantity radius ratio rays remain rocket saltpetre seen shew side solar cycle squarable square stars straight line subtract suppose surface telescope thermometer third toises triangle tube velocity vertical vessel voussoirs weight
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.