Arithmetical Institutions: Containing a Compleat System of Arithmetic, Natural, Logarithmical, and Algebraical in All Their Branches ...B.Motte and C.Bathurst, 1735 - 380 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 17.
Σελίδα 15
... shall have 5'7 9 2X7X9 126 3X5X9 5X7X9 315 4 ; = Pq which reduced by the foregoing Precepts become 135.4X5X7 140 . 5X7X9 315 5X7X9 315 PROBLEM II . 108. To reduce a given Integer b into a Fraction of the fame Value , whofe Denominator shall ...
... shall have 5'7 9 2X7X9 126 3X5X9 5X7X9 315 4 ; = Pq which reduced by the foregoing Precepts become 135.4X5X7 140 . 5X7X9 315 5X7X9 315 PROBLEM II . 108. To reduce a given Integer b into a Fraction of the fame Value , whofe Denominator shall ...
Σελίδα 15
... shall have be = P ± PQ ′′ = Pm ± X Pm 2 - x- 2 MM - I m- -2 m - 3 m m m ― 1 m2 m- : X 2 X 3 m -3pm 2 4 m m - 1 m- -2 ... shall have b ± e = P ± PQ = A ± —AQ + ' BQ ± 5 m - 5 m - 6 6 m - 2 FO ± GQ & c . Which is called Sir Isaac Newton's ...
... shall have be = P ± PQ ′′ = Pm ± X Pm 2 - x- 2 MM - I m- -2 m - 3 m m m ― 1 m2 m- : X 2 X 3 m -3pm 2 4 m m - 1 m- -2 ... shall have b ± e = P ± PQ = A ± —AQ + ' BQ ± 5 m - 5 m - 6 6 m - 2 FO ± GQ & c . Which is called Sir Isaac Newton's ...
Σελίδα 16
... shall have b + x + z + y = b ++ 4b3x + 4b3x + 463y + 662x2 + 1262x2 + 12b3xy + 6b2x2 + 12b2xy + 6b2 y2 + 4bx3 + 12bx2x + 12 bx2y - 12bxz2 + 24bxxy + 12bxy2 + 4bx + 12bz2y + 12bzy2 + 4by3 + x + 4x2 % - 4 -4x3y - + - 6 × 2x2 + -12x2zy - + ...
... shall have b + x + z + y = b ++ 4b3x + 4b3x + 463y + 662x2 + 1262x2 + 12b3xy + 6b2x2 + 12b2xy + 6b2 y2 + 4bx3 + 12bx2x + 12 bx2y - 12bxz2 + 24bxxy + 12bxy2 + 4bx + 12bz2y + 12bzy2 + 4by3 + x + 4x2 % - 4 -4x3y - + - 6 × 2x2 + -12x2zy - + ...
Σελίδα 16
... compleat it ( In 456. ) 2. Make a Series of Fractions whofe Denominators are Numbers in this Progreffion 1 , 2 , 3 , 4 , 5 , & c . going on to the Number which shall be the fame fame as that of the Dimenfions of the Equation ; [ 16 ]
... compleat it ( In 456. ) 2. Make a Series of Fractions whofe Denominators are Numbers in this Progreffion 1 , 2 , 3 , 4 , 5 , & c . going on to the Number which shall be the fame fame as that of the Dimenfions of the Equation ; [ 16 ]
Σελίδα 22
... Coefficients of the given Equation are multiplied or divided by z . Ex . gr . fuppofe the Root a be to be mul- tiplied by 3 z in the given Equation a3 - a - 17a - 150 : Here if 3a = y , we we shall have this new Equation 3 - 3x2 - [ 22 ]
... Coefficients of the given Equation are multiplied or divided by z . Ex . gr . fuppofe the Root a be to be mul- tiplied by 3 z in the given Equation a3 - a - 17a - 150 : Here if 3a = y , we we shall have this new Equation 3 - 3x2 - [ 22 ]
Άλλες εκδόσεις - Προβολή όλων
Arithmetical Institutions: Containing a Compleat System of Arithmetic ... John Kirkby Πλήρης προβολή - 1735 |
Arithmetical Institutions: Containing a Compleat System of Arithmetic ... John Kirkby Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2018 |
Arithmetical Institutions. Containing a Compleat System of Arithmetic ... John Kirkby Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2018 |
Συχνά εμφανιζόμενοι όροι και φράσεις
Abfolute Number affumed alfo Anfwer becauſe Biquadrate Common Difference confequently confift COROLLARY Cube Cubic Equation Cyphers Defective DEFINITION Demonftration Dimenfions divided Dividend Divifion Divifor Effection equal Example Exponent expreffed faid fame Denomination fecond Pyramidal fecond Term fhall fignified firft Term firſt fome Number fourth Fraction fubftituting fubtract fuch Geometrical Proportion given Equation given Number greater greatest Common Meaſure Homologous Power impoffible Integer laft Term laſt leaft leffer lefs Logarithm Monome multiplied muſt Number of Terms Number of Things PARTITION Pence Permutations Place poffible Pofitive Root Polynome Pounds PROBLEM Product Progreffion proper Fraction propos'd Pyramidal Triangular Quadratic Equation Queſtion Quinaries Quotient raiſed Ratio Refolvend refpect Remainder SCHOLIUM Senaries Series Shillings Sign Square Root Suppofe Ternaries thefe Theo Theorem theſe thofe thoſe Trigon Troy Weight Uncia Unity Vulgar Fraction Whence whofe Root whoſe Yards
Δημοφιλή αποσπάσματα
Σελίδα 16 - Multiply all the numerators together for a new numerator, and all the denominators together for a new denominator.
Σελίδα 17 - ... by dividing the numerator of the dividend by the numerator of the divisor, and the denominator of the dividend by the denominator of the divisor.
Σελίδα 17 - Multiplication. 2, Multiply the Numerator of the Dividend into the Denominator of the...
Σελίδα 35 - Quantity will not admit of a Divifor of two Dimenfions. The fame Method may be extended to the Invention of Divifors of more Dimenfions, by feeking in the aforefaid...
Σελίδα 38 - Divifor of the Terms in which that Letter is found, and of the remaining Terms in which it is not found ; for that Divifor will divide the ivhole. And if there is no fuch common Divifor, there will be no Divifor of the whole. For Example, if there be propofed the Quantity д-+ — Зал...
Σελίδα 36 - ... not, and alfo of all the Terms in which fome other of the Letters is not ; as alfo of all the Terms in which a third, fourth, and fifth Letter is not, if there are fo many...
Σελίδα 68 - Man playing at hazard won at the first throw as much money as he had in his pocket ; at the second throw he won 5 shillings more than the square root of what he then had ; at the third throw he won the square of all he then had ; and then he had ill 2. 16«.
Σελίδα 68 - Arithmetic, write them orderly under one another, with the signs of proportion ; then add the Logarithms of the second and third terms together, and from their sum subtract the Logarithm of the first term, and the remainder will be the Logarithm of the fourth term, or Answer.
Σελίδα 14 - RULE 1. 2. Multiply each numerator into all the denominators except its own, for a new numerator ; and all the denominators...
Σελίδα 32 - Ternary or three of them, each £)uatetrary, &c. and you will alfa hau: all the compounded Divifors. As, if all the Divifors of the Number 60 are required, divide it by 2, and the Quotient 30 by 2, and the Quotient 15 by 3, and there will remain the indivifible Quotient 5. Therefore the prime Divifors are i, 2, 2, 3, 5 ; thofe...