Rational Recreations: In which the Principles of Numbers and Natural Philosophy are Clearly and Copiously Elucidated, by a Series of Easy, Entertaining, Interesting Experiments. Among which are All Those Commonly Performed with the Cards, Band 1

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L. Davis, 1783
 

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Seite 25 - ... then tell him to count privately the number of that amount upon the dial, beginning with the next hour to that on which he proposes to rise, and counting backwards, first reckoning the number of the hour at which he has placed the hand.
Seite 10 - ... each other, and the firft product be divided by the fécond ; the quotient will be the number of combinations required. Therefore, if you would know how many ways four quantities can be combined in feven, multiply the firft four terms of the feries, 7, 6, 5, 4, &c. together, and divide the...
Seite 150 - Then get a ruled paper, and place one of the keys (suppose g'e re sot) against the time, 2-4ths, at the beginning of the paper, which will inform your correspondent how to place his circle. You then copy the notes that answer to the...
Seite 58 - Now the number of fquare yards contained on the furface of the whole earth is but 617,197,435,008,000, therefore it would require a furface 18620 times as large as that of the earth to write all the permutations of the 24 letters in the fize above mentioned.
Seite 66 - ... 2. The whole number of chances on the dice being 252, if that number be divided by 36, the number of different throws on the dice, the quotient is 7: it follows therefore, that at every throw there is an equal chance of bringing feven points. 3. As there are 36 chances on the dice, and only 6 of them doublets, it is 5 to i , at any one throw, againft throwing a doublet.
Seite 193 - ... unlefs there be a contrivance to lock the wheels. The upper part of the machine next A, may be made to take off when the wind is contrary ; and there may be another fet of fails placed between the two hind wheels, which will confiderably increafe its velocity.
Seite 192 - The body of this machine fhould not be large, nor placed very high, not only to prevent overturning, but that its motion may not be thereby impeded ; for the velocity will be in proportion to the force of the wind on the fails to that on the body of the machine. Therefore if they be...
Seite 68 - You next desire several persons, (as many persons as there are pairs on the table,) each to look at different pairs, and remember what cards compose them. You then take up all the cards in the order they lay, and...
Seite 10 - ... the quotient will be .the number of combinations required. Therefore, if you would know how many ways four quantities can be combined in feven, multiply the firft four terms of the feries, 7, 6, 5, 4, &c. together, and divide the product, which will be 840, by the product of the firft four terms of the feries, i, 2, 3, 4, &c.
Seite 205 - D, about 12 inches high, and four inches wide. This frame is to be covered with oiled paper, and divided into 12 equal parts by horizontal lines, at the end of which are written the numbers for the hours, from 1 to 12, and between the horizontal lines and diagonals, divided into halves, quarters, &c.

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