## Decimal Arithmetic Made Perfect: Or, The Management of Infinite Decimals Displayed. Being the Whole Doctrine of the Arithmetic of Circulating Numbers, Explained by Many New and Curious Examples in Addition, Subtraction, Etc. ... To which is Prefixed, an Historical Introduction ... With Large Tables ... and an Appendix, Containing the Arithmetic of the Five Primary Rules in Decimal Fractions |

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### Common terms and phrases

2dly according Addition alſo Anſwer approximate Arithmetic Author becauſe begin Book Caſes Circulating Expreſſion College Column compleat Compound Circulates conſiſts continued Cube Cunn Decimal Denominator Difference Diffimilar directed Divide Dividend Diviſion Diviſor eaſily equal Equivalent Vulgar Fraction Example Example Examples exhibited Expreſſed Expreſſion fame Finite firſt fore foregoing Examples fought give given given Circulate Given Repetend Illuſtrations infinitely Integral Numbers iſt John laſt Laws Learner leave manner mark Method Mixt Mixt Circulate moſt Multiplicand Multiplier muſt Note Number obſerve Operation Oxon Places of Figures Point Power Preface proceed prove Pure Quote Quotient Reader Reaſon Reduce Remainder repeat Repetend Reverend Root Rule ſame Sarum ſee ſet ſeveral ſhall ſhould Similar Single Single Circulates ſome Square Root Subject Subſt ſuch Table theſe transformed True Product Unit uſe Value Variety Vide Vulgar Fraction whole whoſe

### Popular passages

Page 20 - In any proportion, the product of the means is equal to the product of the extremes.

Page x - by themfelves one could never, or very hardly, be led « into the Reafon of them, nor confequently into the Way " I have chofen ; fo that it will be the more eafily be...

Page xii - Mailer having laid the Foundation deep, and in a great Meafure out of the vulgar Ken, I thought it might be of Service to young Students, a little to diiclofe and lay it more open to their View.

Page 67 - Product, and if it has not as many Places as the Divifor, or Repetend of the Multiplicand, you muft fupply the Defect with o's on the Left ; and in this State fet it in the Product as the Repetend.

Page viii - Theory oi it, but without Demonftration ; nor has he meddled with the practical Part, or Way of managing infinite Decimals in arithmetical Operations.

Page x - Demonftra" tions are omitted, the Rule ought to be as fimple and " eafy as poffible. But I muft obferve this further Effect:

Page 182 - View, then both They, and their Decimal Parts muft be collected out of the Table at twice, or thrice, according as the given Number requires.

Page 31 - Places as the Repetends ; the Quote is to be carried to the next Column, and the reft of the Addition done by the common Rules* This Rule of Mr. Malcolm's is uni verfall y good for all...

Page x - Explication of one fingle Propofition ; -viz. the " finding the finite Value of ( or Vulgar Fraction equal to ) " any circulating Decimal : for though the Demonftra" tions are omitted, the Rule ought to be as fimple and

Page 184 - Progreffion, that by a continual Decimal Subdivifion, the Unit may be fuppofed to be divided into 10, or 100, or 1000, or 10000, or 100ooo, ÖV.