The Analyst: Or, An Introduction to the Mathematics: Containing. The doctrine of vulgar and decimal fractions, wherein the fundamental principles are fully and clearly explained in all their cases. The extraction of roots, according to the Newtonian method, much preferable to that now taught in schools. The first principles of algebra demonstrated in a very short and easy method .... I.. II.. III.E. Cave, 1746 - 184 páginas |
Términos y frases comunes
added affigned Alfo Algebraic Algebraic Quantities aliquot alſo Anſwer arifing becauſe Biquadrate Cafe Coefficient common Meaſure compound Confequent confift COROLLARY Cube Root Cyphers Decimal Fractions Deno denotes divided Dividend Divifion Divifor doth equal Equation EXAMPLE II EXAMPLE VII expreffed extract the Cube faid fame Kind fecond fhall fignifies Figure fimple fince fingle firft Stock firſt fome fubtracted fuch fuppofe greater greateſt gures improper Fraction infinitum Integer inverted itſelf laft laſt leaft leffer Number lefs Mult multiplied muſt Number of Cards obferve Pence Place Pound Pound Sterling Power PROBLEM Progreffion proper Fraction propofed Proportion PROPOSITION Quadratic Equation Queſtions Ratio reduce refolved Refolvend reprefented required Fraction required Product required Quotient required Remainder RULE SCHOLIUM ſhall Shilling Sign SOLUTION Square Root Terms thefe THEOREM thereof theſe thofe Unit Unity unknown Quantity uſeful Vulgar Fraction whence whofe whole Number ΙΟ
Pasajes populares
Página 98 - ... if the mixed number given be a surd, reduce the fractional part to a decimal, annex it to the whole number, and extract the root therefrom. EXAMPLES. 1. What is the cube root of 12^ ? Ans.
Página 95 - Quotient 23, viz. by feeking how many times 3 x 529, or 1587, is contained 11450, it gives 7 for the third Figure of the Quotient. Then the Quotient 237, multiplied by 237, gives the Square 56169, which again multiplied by 237 gives the Cube 13312053, and this taken from the Reiblvend leaves o. Whence it is evident, that the Root fought is 237. And fo to extrait the Quadrato-Cubical Root of 36430820, it muft be pointed over every fifth Figure» and the Figure 3, whofe Quadrato-Cube (or fifth Power)...
Página 185 - ... of the probability, that a propofed event happens a given number of times in a given number of tryals ; anew and very comprehensive problem of great ufe in lotteries, cards, &c.
Página 95 - ... the Cube Root of 13312053, the Number is firft to be pointed after this Manner, viz. 13312053. Then you are to write in the Quotient the Figure 2, whofe Cube 8 is the next lefs Cube to the Figures 13 (which is not a perfect Cube Number), or to the firft Point ; and having...
Página 94 - Power to be extracted ; and fo on in inßnitum. Thus to extract the Cube Root of 13312053, the Number is firft to be pointed after this Manner, viz. 13312053. Then you are to write in the Quotient the Figure 2, whofe Cube 8 is the next lefs Cube to the Figures...
Página 131 - ... and the product be divided by the number of terms to that place, it will give the coefficient of the term next following.
Página 94 - Power (ie whofe Cube, if it be a Cubic Power, or whofe Quadrato-Cube, .if '"it be the fifth Power...
Página 78 - Produel; then invert the Order of all the other Figures, that is, write them all the contrary Way. Then in multiplying always begin at that Figure in the Multiplicand which...
Página 94 - Power, the next Figure will be found by dividing the Remainder augmented by the next Figure of the Refolvend, by the next...
Página 28 - Multiply the numerator by the parts of the next inferior denomination, and divide this product by the denominator; if any thing remain, multiply it by the next inferior denomination, and divide by the denominator as before ; and so on, as far as necessary ; the several quotients will be the answer required, in the denominations of which the several dividends are parts.