Select Amusements in Philosophy and Mathematics: Proper for Agreeably Exercising the Minds of YouthG. Kearsley, 1801 - 400 pages |
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alfo amianthus amufing anfwer arithmetical mean arithmetical progreffion becauſe cafe cards chances combinations confequently confifts contained decreafing defire denominator depofited dice diffolved diftance divided divifion eaſily employed equal example expreffed faid fame fecond feem feen feven feveral fhall fhew fhillings fhould figures fimilar firft firſt fize fmall folution fome fometimes fourth fquare fraction ftring fubtract fucceffively fuch a manner fufficient fuppofe furface games running geometrical progreffion give glaſs increafing inftrument itſelf laft laft place laſt leaft lefs letters liquor magnet means metically moft moſt mufic muft multiplied muſt neceffary number of terms number thought obferve octave oppofite perfon pleaſure poffible pounds prefent PROB problem propofed proportion purpoſe quantity queftion ratio reafon refult remainder repreſented rule of three ſhall ſmall ſquare thefe theſe things third thofe thoſe tion tone unifon unity uſed veffel vibrations whole number
Popular passages
Page 160 - The head of a fish is 7 inches long, the tail is as long as the head and |- of the body, and the body is as long as the head and tail ; what is the length of the fish ? 9.
Page 192 - ... production of an echo ; and it is well known that this is not the case. Echoes indeed are frequently heard opposite to old walls, which are far from being polished ; near huge masses of rock, and in the neighbourhood of forests, and even of clouds. This reflection of sound therefore is not of the same nature as that of light. It is evident, however, that the formation of an echo can be ascribed only to the repercussion of sound ; for echoes are never heard but when sound is intercepted, and made...
Page 102 - The reason of this is as follows: The sum, the half of which is given to the poor, is nothing else than twice the number thought of, plus 10; and when the poor have received their part, there remains only the number thought of plus 5; but the number thought of is cut off when the sum borrowed is returned, and consequently there remains only 5.
Page 101 - Let the number thought of be 6, the triple of which is 18; and if 1 be added, it makes 19; the triple of this last number is 57, and if 6 be added it makes 63, from which if 3 be subtracted, the remainder will be 60; now, if the cipher on the right be cut off, the remaining figure, 6, will be the number required. A FOURTH...
Page 193 - ... 48 feet. There are single and compound echoes. In the former only one repetition of the sound is heard ; in the latter there are 2, 3, 4, 5, &c., repetitions. We are even told of echoes that can repeat the same word 40 or 50 times. Single echoes are those where there is only one obstacle...
Page 131 - The clerk, however, took away 12 of them, at three different times ; that is, four each time ; yet, when the merchant went into the cellar, after each theft had been committed, the clerk always made him count nine in each row. How was this possible ? This problem may be easily solved by inspecting the following figures : — 2d Order.
Page 255 - To melt Iron in a Moment and make it run into Drops. BRING a bar of iron to a white heat, and then apply to it a roll of sulphur. The iron will immediately melt, and run into drops. This experiment should be performed over a basin of water, in which the drops that fall down will be quenched.
Page vi - ... method : — Some value, represented by an even number, such as 8, must be assigned to the gold, and a value represented by an odd number, such as 3, must be assigned to the silver; after which, desire the person...
Page 104 - ... 35 ; if 4, the second number thought of, be then added, we shall have 39, which doubled gives 78; and if we add 1, and multiply 79, the sum, by 5, the result will be 395. In the last place, if we add 6, the...
Page 124 - Two persons agree to take, alternately, numbers less than a given number, for example, 11, and to add them together till one of them has reached a certain sum, such as 100. By what means can one of them infallibly attain to that number before the other ? The whole artifice...