The Young Mathematician's Guide: Being a Plain and Easy Introduction to the Mathematicks ... With an Appendix of Practical GaugingS. Birt, 1747 - 480 σελίδες |
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Σελίδα
... continued Proportion , both Arithmetical and Geo- metrical ; and how to vary the Order of Things . 72 Chap . VII . Of Disjunct Proportion , or the Golden Rule , both Direct , Reciprocal or Inverfe , and Compound . 85 Chap . VIII . The ...
... continued Proportion , both Arithmetical and Geo- metrical ; and how to vary the Order of Things . 72 Chap . VII . Of Disjunct Proportion , or the Golden Rule , both Direct , Reciprocal or Inverfe , and Compound . 85 Chap . VIII . The ...
Σελίδα 53
... continued halving of them , fo long as they can be halved , viz . divided by 2 . EXAMPLE . It is required to Reduce to it's leaft Terms . First , 2 ) . Again , 2 ) ( 1 . This done , you easily perceive that 7 will be the common Measure ...
... continued halving of them , fo long as they can be halved , viz . divided by 2 . EXAMPLE . It is required to Reduce to it's leaft Terms . First , 2 ) . Again , 2 ) ( 1 . This done , you easily perceive that 7 will be the common Measure ...
Σελίδα 72
... Continued Proportions , and how to change or vary the Order of Things . Sect . 1. Concerning Arithmetical Progreffion , ufually called Arithmetical Proportion Continued . WHEN any Rank or Series of Numbers do either increase or decrease ...
... Continued Proportions , and how to change or vary the Order of Things . Sect . 1. Concerning Arithmetical Progreffion , ufually called Arithmetical Proportion Continued . WHEN any Rank or Series of Numbers do either increase or decrease ...
Σελίδα 76
... continued ; fometimes called Geometrical Progreffion . WHE HEN a Rank or Series of Numbers do either increase by one common Multiplicator , or decrease by one common Divifor ; thofe Numbers are faid to be in Geometrical Proportion continued ...
... continued ; fometimes called Geometrical Progreffion . WHE HEN a Rank or Series of Numbers do either increase by one common Multiplicator , or decrease by one common Divifor ; thofe Numbers are faid to be in Geometrical Proportion continued ...
Σελίδα 77
... continued Proportion ; the Pro duct of the two Extreams , will be equal to the Product of any two Means , that are equally diftant from the Extreams . · 64. & c . And if the Number of As in these 2 4. 8. 16. 32 Here 64 x 232 × 4 = 16 ...
... continued Proportion ; the Pro duct of the two Extreams , will be equal to the Product of any two Means , that are equally diftant from the Extreams . · 64. & c . And if the Number of As in these 2 4. 8. 16. 32 Here 64 x 232 × 4 = 16 ...
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alfo Amount Angle Anſwer Arch Area Arithmetick Bafe becauſe Cafe call'd Cathetus Circle Circle's Confequently Cube Cubick Inches Cyphers Decimal defcribe Demonftration Denomination Diameter Difference divided Dividend Divifion Divifor eafily eafy Ellipfis equal Equation Example Extreams faid fame fecond feven feveral fhall fhew fingle firft Term firſt fome Fractions Fruftum ftand fubtract fuch Gallons given hath Height Hence Hyperbola infinite Series Intereft interfect juft laft Latus Rectum leffer lefs Lemma Logarithm Meaſure muft multiply muſt Number of Terms Parabola Parallelogram Periphery Perpendicular Places of Figures plain Point Pound Product Progreffion propofed Proportion Quære Quantities Question Radius Reafon Refolvend reft reprefent Right Line Right-angled Right-line Root Rule Sect Segment Series Side Sine Square Suppofe Surd Tangent thefe Theorem theſe thofe thoſe Tranfverfe Triangle Troy Weight ufually Uncia uſeful Vulgar Fractions whofe whole Numbers
Δημοφιλή αποσπάσματα
Σελίδα 473 - 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, &c.
Σελίδα 92 - If 8 men can do a piece of work in 12 days, how long will it take...
Σελίδα 168 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Σελίδα 395 - RULE. Multiply the sum of the two extremes by half the number of terms, the product will be the sum of all the terms.
Σελίδα 469 - Numbers z — i and z -+- 1 be even, and accordingly their Logarithms, and the Difference of the Logarithms will be had, which let be called y.: -Therefore...
Σελίδα 146 - ... axioms : 1. If equal quantities be added to equal quantities, the sums will be equal. 2. If equal quantities be subtracted from equal quantities, the remainders will be equal. 3. If equal quantities be multiplied by equal quantities, the products will be equal. 4. If equal quantities be divided by equal quantities, the quotients will be equal. 5.
Σελίδα 476 - In any triangle, the sides are proportional to the sines of the opposite angles, ie. t abc sin A sin B sin C...
Σελίδα 146 - If equal quantities be added to equal quantities, the sums will be equal. 2. If equal quantities be taken from equal quantities, the remainders will be equal. 3. If equal quantities be multiplied by the same, or equal quantities, the products will be equal.
Σελίδα 469 - Term will give the Logarithm to 20 Places of Figures. But, if z be greater than 10000, the...
Σελίδα 114 - The particular Rates of all the Ingredients propofed to be mixed, the Mean Rate of the whole Mixture, and any one .of the Quantities to be mixed being given: Thence to find how much of every one of the other Ingredients is requifite to compofe the Mixture.