Select Amusements in Philosophy and Mathematics: Proper for Agreeably Exercising the Minds of Youth |
Contents
| 187 | |
| 223 | |
| 230 | |
| 236 | |
| 243 | |
| 249 | |
| 255 | |
| 259 | |
| 62 | |
| 68 | |
| 75 | |
| 98 | |
| 107 | |
| 113 | |
| 118 | |
| 120 | |
| 125 | |
| 132 | |
| 137 | |
| 144 | |
| 151 | |
| 157 | |
| 161 | |
| 164 | |
| 170 | |
| 181 | |
| 265 | |
| 271 | |
| 277 | |
| 283 | |
| 289 | |
| 295 | |
| 302 | |
| 309 | |
| 314 | |
| 320 | |
| 326 | |
| 334 | |
| 342 | |
| 348 | |
| 352 | |
| 365 | |
| 381 | |
| 395 | |
Other editions - View all
Common terms and phrases
alfo alſo amianthus amufe amuſements anſwer arithmetical progreffion aſk becauſe cafe cards cauſe chances combinations confequently confifts contained decreaſing defire depofit dice difcover diffolved divided divifion eaſily employed equal example expreffed faid fame fecond feen feven feveral fhall fhew fhillings fhould figure filk fimilar firft firſt fmall folution fome fometimes fourth fquare fraction ftring fubtract fucceffively fuch a manner fufficient fuppofe games running geometrical progreffion give glaſs greateſt half himſelf hygrometer increaſe itſelf laft laſt leaſt lefs letters liquor magnetic means method moſt muft multiply muſt neceffary number thought obferved octave perfon pleaſure poffible pounds prefent PROB probability of throwing problem propofed proportion purpoſe quantity queſtion raiſed ratio reaſon refult remainder repreſented rule of three ſay ſeen ſhall ſmall ſquare ſuppoſe thefe theſe things third thofe thoſe unity uſe veffel 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 103 - ... only 5. It may be hence seen, that the result may be easily known, since it will be the half of the number given in the third part of the operation ; for example, whatever be the number thought of, the remainder will be 36, or 25, according as 72 or 50 have been given. If this trick be performed several times successively, the...
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 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...
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 222 - Caches, which had such an extraordinary effect on the Swiss troops in the French service, that they always fell into a deep melancholy when they heard it: Louis xiv. therefore forbade it ever to be played in France, under the pain of a severe penalty. -We are told also of a Scotch air (Lochaber no more) which has a similar effect on the natives of Scotland.
Page 105 - Let us suppose, for example, that the five following numbers are thought of: 3, 7, 13, 17, 20, which, when added two and two as above, give 10, 20, 30, 37, 23; the sum of the first, third, and fifth is 63, and that of the second and fourth is 57; if 57 be subtracted from 63, the remainder 6, will be the double of the first number, 3.
Page 108 - Desire any one of the company to take a ring, and to put it on any joint of whatever finger he may think proper. The question then is to tell what person has the ring, and on what hand, what finger, and what joint.