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 NumericallyF. Wingrave, 1800 - 400 σελίδες |
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Αποτελέσματα 1 - 5 από τα 12.
Σελίδα 11
... after that of 3b is changed , being unlike , the difference of the coefficients muit be taken conformable to case 2 in addition . Other Other examples in Subtraction , may be as follow : OF SUBTRACTION . II SECTION III SUBTRACTION II.
... after that of 3b is changed , being unlike , the difference of the coefficients muit be taken conformable to case 2 in addition . Other Other examples in Subtraction , may be as follow : OF SUBTRACTION . II SECTION III SUBTRACTION II.
Σελίδα 39
... case will be the fame when radical quantities are concerned ( as in the fourth example ) : For the fquare of a2 xa- xa + x13 I or a xatx 3 xa2 xa + x is = 1 1 xa + x X a2 xa + x = a x a 4 3 × až × a + x = a + x : but axa ( by rule 5 in ...
... case will be the fame when radical quantities are concerned ( as in the fourth example ) : For the fquare of a2 xa- xa + x13 I or a xatx 3 xa2 xa + x is = 1 1 xa + x X a2 xa + x = a x a 4 3 × až × a + x = a + x : but axa ( by rule 5 in ...
Σελίδα 47
... case it should happen that the firft term of the divifor does not exactly measure that of the dividend , the whole di- vidend may be multiplied by any quantity , as shall be neceffary to make the operation fucceed . Ex . 1. Let it be ...
... case it should happen that the firft term of the divifor does not exactly measure that of the dividend , the whole di- vidend may be multiplied by any quantity , as shall be neceffary to make the operation fucceed . Ex . 1. Let it be ...
Σελίδα 96
... case , shall be exactly the fame . Let x , y , z and u , be the parts required ; then , by the question , we fhall have these equations , viz , * + y + x + ua , and c = dz й Whence , by comparing dz with each of the three other equal ...
... case , shall be exactly the fame . Let x , y , z and u , be the parts required ; then , by the question , we fhall have these equations , viz , * + y + x + ua , and c = dz й Whence , by comparing dz with each of the three other equal ...
Σελίδα 126
... case our equation may be wrote thus , .I 3 I + I. + + + I + x2 + z + ... + z ” m Z I I + + M 2 + 2 + z3 ... z + z " -2 , + 23 Where , fince 1 + z = 5 , ช = 53 — 35 , 1-4 + 24 = 5 → 452 +2 , & c . we shall , by fubftituting these values ...
... case our equation may be wrote thus , .I 3 I + I. + + + I + x2 + z + ... + z ” m Z I I + + M 2 + 2 + z3 ... z + z " -2 , + 23 Where , fince 1 + z = 5 , ช = 53 — 35 , 1-4 + 24 = 5 → 452 +2 , & c . we shall , by fubftituting these values ...
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A Treatise of Algebra: Wherein the Principles Are Demonstrated ... to Which ... Thomas Simpson Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2013 |
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Δημοφιλή αποσπάσματα
Σελίδα 47 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Σελίδα 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.
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...
Σελίδα 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.