## 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 |

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A Treatise of Algebra: Wherein the Principles Are Demonstrated ... to Which ... Thomas Simpson Sin vista previa disponible - 2013 |

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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

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Página 47 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.

Página 229 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; and each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds ; and these into thirds, etc.

Página 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...

Página 19 - We have seen that multiplying by a whole number is taking the multiplicand as many times as there are units in the multiplier.

Página 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.

Página 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...

Página 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...

Página 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...

Página 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...

Página 66 - ... the product of the extremes divided by either mean will give the other mean, and the product of the means divided by either extreme will give the other extreme.