Recreations in mathematics and natural philosophy, recomposed by m. Montucla and tr. by C. Hutton1840 |
From inside the book
Results 1-5 of 100
Page xi
... Double Stars , and Nebulæ .. .. 474 Of Chronology .. .. .. .. 479 To find the Bissextile Year , Golden Numbers , and Epacts .. 481 To find the Moon's Age .. .. .. .. 485 Solar Cycle , Dominical Letter , & c . .. 486 To find Easter - day ...
... Double Stars , and Nebulæ .. .. 474 Of Chronology .. .. .. .. 479 To find the Bissextile Year , Golden Numbers , and Epacts .. 481 To find the Moon's Age .. .. .. .. 485 Solar Cycle , Dominical Letter , & c . .. 486 To find Easter - day ...
Page 6
... double myriads , or numbers of the second order . The next would be numbers of the third order , and so on indefinitely . Having given a local value to his periods of fours , it was only necessary to have done the same for single digits ...
... double myriads , or numbers of the second order . The next would be numbers of the third order , and so on indefinitely . Having given a local value to his periods of fours , it was only necessary to have done the same for single digits ...
Page 9
... double ; then to add it to the double , and we should have the triple , & c . But unless the same figure should frequently recur in the multiplicand , this method would be more tedious than that which we wished to avoid . The celebrated ...
... double ; then to add it to the double , and we should have the triple , & c . But unless the same figure should frequently recur in the multiplicand , this method would be more tedious than that which we wished to avoid . The celebrated ...
Page 15
... double of their product will be one of the numbers sought , and the difference of their squares will be the other . Thus if we multiply together 2 and 3 , the squares of which are 4 and 9 , their pro- duct will be 6 ; if we then take 12 ...
... double of their product will be one of the numbers sought , and the difference of their squares will be the other . Thus if we multiply together 2 and 3 , the squares of which are 4 and 9 , their pro- duct will be 6 ; if we then take 12 ...
Page 16
... double of 9 , which is a square number , and that their difference 2 is the double of 1 , which is also a square number . IX . If two numbers , the difference of which is 2 , be multiplied together , their pro- duct increased by unity ...
... double of 9 , which is a square number , and that their difference 2 is the double of 1 , which is also a square number . IX . If two numbers , the difference of which is 2 , be multiplied together , their pro- duct increased by unity ...
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 |
Common terms and phrases
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.