The calculator: being correct and necessary tables for computation. Adapted to science, business, and pleasure / By James Dodson.
- James Dodson
- Date:
- 1747
Licence: Public Domain Mark
Credit: The calculator: being correct and necessary tables for computation. Adapted to science, business, and pleasure / By James Dodson. Source: Wellcome Collection.
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![[43] The Uje of Table XX. An hirieontat Rank of Numbers, is an arithmetical Series, whofe Order is denominated by a Number (m) againft it in the fide Co- umn, : A perpendicular Rank of Numbers, are the Unciae of the Powers of a Binomial, whofe Index is exprefled by a Number () in the upper Line, er And the Combinations of (m) Things in (n) are thewn by: the Number common to both Ranks. : : Thus, the Combinations of 5 Things in 20 are 15504, The Ufe of Cable XXI.- The Numbers of the fecond Column are thofe Powers of the Number 2, whofe Indices are exprefied by a Number (m) againft thene in the firft Column ; and are alfo the Ele@tions in (m) Things, The Numbers of the third Column are the Elections of a Number. of Things greater than 1 in (m) Things. . The Ufe of Table XXM, An horizontal Rank of Numbers are Powers of a Digit (mm) againft it in the fide Column. . A perpendicular Rank of Numbers are thofe Powers of the nine Digits whofe Index is expreffed by a Number (2) in the upper Line. : And the zth Power of m is the Number common to both Ranks. Thus, the 16th Power of 3 is 43046721. The Ue of Table XXIIE. The Numbers of the middle Column are the Permutations of any Number of Things (m) placed againft them in the fide Columns 3 and are alfo the Continual Produ@ of all the Numbers in. the fide Column, | ; Thus, 1X2X3X4xX5X6X 7X8 = 40320.](https://iiif.wellcomecollection.org/image/b30522912_0055.jp2/full/800%2C/0/default.jpg)


