Clavis Arithmeticae: Or, A Key to Arithmetick in Numbers & Species ;wherein Arithmetick & Algebra are Abridged, Demonstrated & Made Easie in Their Several Fundamentals and Consequents. Collated from the Most Authentick Authors on Those Subjects, with Many Improvements & Useful Theorems, Not Hitherto Extant |
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Clavis Arithmeticae: Or, a Key to Arithmetick in Numbers & Species;wherein ... John Parsons,Thomas Wastell No preview available - 2016 |
Common terms and phrases
aforegoing alfo Algebraic Integers alſo alwayes Arithmetical Arithmetick becauſe cafe CHAP Coefficient common Denominator confequently confider'd confift contain'd Corol Cube Cyphers Decimal places Demonftration Divi divided Dividend Divifion Divifor doth Equation Examp Exponants expreft fame Number fame value fecond fhall fhews fide fignifies figns Figure fince fingle firft firſt followeth Fractions given fubftracted fuch fuppofed greater greateſt common meaſure hath Improper Fraction inftance Integers laft laſt leaft leaſt terms leffer lefs leß Let the Fractions likewife merator mixt muft multi Multiplicand multiplied muſt nators Number fought Numbers given Operation plac't place of Units prefix Product Progreffions Prop proper Fraction Proportion Quadratic Equations Quotient reaſon reduced Refolvend refpective refts Remainder Root RULE ſame Square ſuch ſuppoſed thefe Theorem thereof theſe thofe thoſe tiplyed uſed Vulgar Fractions whole Number
Popular passages
Page 20 - Reduce compound fractions to simple ones, and mixt numbers to improper fractions ; then multiply the numerators together for a new numerator, and the denominators for. a new denominator.
Page 71 - RULE. Divide the numerator by the denominator, and the quotient will be the whole or mixed number sought.
Page 96 - When the number of terms are odd, the double of the middle term will be equal to the two extremes, or of any two means equally distant from the middle term : As, 1, 2, 3, 4, 5, where the double of3 = 5~fl=2 -f 4 = 6.
Page 34 - When any number of quantities are proportionals, as one antecedent is to its consequent, so is the sum of all the antecedents to the sum of all the consequents.
Page 97 - An inspection of the above shows that the sum of the first and last terms of an arithmetical series, multiplied by the number of terms, is equal to twice the sum of all the terms.
Page 2 - a minus b" indicates that the quantity b is to be subtracted from the quantity a. The sign ~ indicates the difference of two quantities when it is not known which of them is the greater. Thus, a ~ b indicates the difference of the two quantities a and b. 14. The Sign of Multiplication, X , is read " times," "into,
Page 100 - Make the given decimal the numerator, and place under it, for a denominator, a unit with as many cyphers as there are places in the decimal.
Page 98 - Cyphers to the Numerator, and then divide it by the Denominator (as direftedin chap.