A Treatise of Algebra: Wherein the Principles are Demonstrated and Applied ... To which is Added, the Geometrical Construction of a Great Number of Linear and Plane Problems; with the Method of Resolving the Same Numerically
F. Wingrave, 1800 - 400 σελίδες
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according added alſo angle anſwers appears arch ariſing baſe becauſe become Calculation caſe circle co-fine coefficient common conſequently conſtruction continued cutting DEMONSTRATION denoted deſcribe determine difference divided diviſor draw drawn equal equation evident example expreſſed fame fides fine firſt former four fraction given gives greater half Hence join known laſt latter likewiſe manner means meeting Method Moreover multiplied muſt negative parallel perpendicular poſitive preceding PROBLEM progreſſion proportion propoſed quantities queſtion quotient radius ratio reaſon reduced remaining repreſented root rule ſame ſecond ſeries ſhall ſides ſquare ſtand ſubſtituted ſubtracted ſuch ſum ſuppoſed taken thence Theorem theſe thing third thoſe triangle uſe whence whereof whole
Σελίδα 47 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Σελίδα 57 - Quantities is the least involved, and let the Value of that Quantity be found in each Equation by the Rules already given), looking upon all the Rest as known : let the Values thus found be put equal to each other (for they are equal...
Σελίδα 19 - We have seen that multiplying by a whole number is taking the multiplicand as many times as there are units in the multiplier.
Σελίδα 28 - EXAMPLES. • 1. If the fractions to be divided have a common denominator, take the numerator of the dividend for a new numerator, and the numerator of the divisor for the new denominator.
Σελίδα 44 - ... the said numerator or denominator (whichever it is) into two parts, so that the said letter may be found in every term of the one part, and be totally excluded out of the other ; this being done, let the greatest common divisor of these two parts be found, which will evidently be a divisor to the whole, and by which the division of the...
Σελίδα 217 - SIMPLE Intereft, is that which is paid for the Loan of any Principal or Sum of Money, lent out for fome Time, at any...
Σελίδα 223 - R% the amount of one pound in two years ; and therefore as I to R, fo is R% the fum forborn the third year, to R3, the amount in three years : whence it appears that R", or R raifed to the power whofe exponent is the number of years, will be the amount of one pound in thofe years. But >as i A is to its amount R", fo is P to ( a) its amount, in the fame time ; whence we have PX R" =r a. Moreover, becaufe the amount of one pound, in nyears, is R", its increafe in that time will be R...
Σελίδα 230 - BI, the sine of its complement HB. The tangent of an arc, is a right line touching the circle in one extremity of that arc, continued from thence to meet a line drawn from the...