The Young Mathematician's Guide: Being a Plain and Easy Introduction to the Mathematicks ... With an Appendix of Practical GaugingS. Birt, 1747 - 480 Seiten |
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... Roots of all Single Powers . II . Algebra , or Arithmetick in Species ; wherein the Method of Raifing and Refolving Equations is rendered Eafy ; and illuftrated with Variety of Examples , and Numerical Queftions . Also the whole ...
... Roots of all Single Powers . II . Algebra , or Arithmetick in Species ; wherein the Method of Raifing and Refolving Equations is rendered Eafy ; and illuftrated with Variety of Examples , and Numerical Queftions . Also the whole ...
Seite
... Roots of all Single Powers , bow high foever they are , by one General Method . 123 Chap . Algebza . Part II . 72 99 IIQ 1. The Method of noting down Quantities , and tracing of the Steps used in bringing them to an Equation . 143 Chap ...
... Roots of all Single Powers , bow high foever they are , by one General Method . 123 Chap . Algebza . Part II . 72 99 IIQ 1. The Method of noting down Quantities , and tracing of the Steps used in bringing them to an Equation . 143 Chap ...
Seite 6
... Roots . Sect . 1. Of Rumeration or Notation . Kumeration or Notation , teacheth to Read or Express the true Value of any Number when writ down ; and confequently to write down any propofed Number according to it's true Value when it is ...
... Roots . Sect . 1. Of Rumeration or Notation . Kumeration or Notation , teacheth to Read or Express the true Value of any Number when writ down ; and confequently to write down any propofed Number according to it's true Value when it is ...
Seite 122
... 5,984010 Ounces Troy , & c . A Cubick Inch of Water their Difference is , Inch of Lead in the Water , & c . 0,542742 5,441268 the Weight of a Cubick I CHAP . CH.A P. XI . Evolution , or Extracting the Roots 122 Part I. Arithmetick .
... 5,984010 Ounces Troy , & c . A Cubick Inch of Water their Difference is , Inch of Lead in the Water , & c . 0,542742 5,441268 the Weight of a Cubick I CHAP . CH.A P. XI . Evolution , or Extracting the Roots 122 Part I. Arithmetick .
Seite 123
... Roots out of all Single Powers ; by one Geometrical Method . SECT . I. Volution is the Unravelling , or as it were ... Root is reprefented by a Line or Side , having but one Dimension , viz . that of Length only . The Square is a Plane ...
... Roots out of all Single Powers ; by one Geometrical Method . SECT . I. Volution is the Unravelling , or as it were ... Root is reprefented by a Line or Side , having but one Dimension , viz . that of Length only . The Square is a Plane ...
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alfo Amount Angles 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 eaſy Ellipfis equal Equation Example Extreams faid fame fecond feven feveral fhall fhew fingle firft firft Term firſt fome Fractions Fruftum ftand fubtract fuch Gallons Geometrical given hath Height Hence Hyperbola infinite Series Intereft 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 Quantities Queft Queſtion Radius Reafon Refolvend reft 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
Beliebte Passagen
Seite 467 - 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.
Seite 217 - 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«.
Seite 471 - C' (89) (90) (91) (92) (93) 112. In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference.
Seite 138 - If equal quantities be added to equal quantities, the fums will be equal. 2. If equal quantities be taken from equal quantities, the remainders will be equal. 3. If equal quantities be multiplied by equal quantities, the produits will be equal.
Seite 106 - 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.
Seite 90 - If 2 men can do 12 rods of ditching in 6 days ; how many rods may be done by 8 men in 24 days ? Ans.
Seite 23 - The original of all weights, used in England, was a grain or corn of wheat, gathered out of the middle of the ear ; and being well dried, 32 of them were to make one pennyweight, 20 pennyweights one ounce, and 12 ounces one pound. But, in later times, it was thought sufficient to divide the same pennyweight into 24 equal parts, still called grains, being the least weight now in common use; and from hence the rest are computed.
Seite 470 - In any triangle, the sides are proportional to the sines of the opposite angles, ie. t abc sin A sin B sin C...
Seite 180 - When any number of quantities are proportionals, as one antecedent is to its consequent, so is the sum of all the antecedents to the sum of all the consequents.
Seite 471 - FG 5 that is in Words, half the Sum of the Legs, Is to half their Difference, As the Tangent of half the Sum of the oppofite Angles, Is to the Tangent of half their Difference : But Wholes are as their Halves ; wherefore the Sum of the Legs, Is...