Volume 1

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 / By W. Hooper.

  • Hooper, William, M.D.
Date:
1787
Catalogue details

Licence: Public Domain Mark

Credit: 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 / By W. Hooper. Source: Wellcome Collection.

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    7. When any feries of numbers conti- nually increafes or decreafes by an equal addition or fubtraclion, as 2, 4, 6, 8, he. or 18, 15, 12, 9, kc. they are faid to be in arithmetic progreffion. 8. When a feries of numbers continual- ly increafes or decreafes by one common multiplier or divifor, that is, by one com- mon ratio, as4, 8, 16, 32, he. or 8r, 27, 9, 3, they are in geometric progreffion. 9- If ovei a feries of numbers in geo- metric progreffion, there be placed an- other in arithmetic progreffion, whofe common difference is 1, as thus 1 ’ 2’ 3» 2, 4, 8, it\ 3?,’ ]&c- the Jatter are called the in- dices or exponents of the former: and if the geometric feries begin with 1, the other muff begin with a cypher, thus, 10. The feveral different ways that one number of quantities can be taken out of anothei greater number, of the fame fort, are