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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Seite 40
... several par- ticular Sums , nay , perhaps filling up the whole length of a Sheet of Paper , I humbly conceive in those Cafes the beft and eafieft way will be to part them into Parcels , not exceeding above 10 or 12 particular Sums in ...
... several par- ticular Sums , nay , perhaps filling up the whole length of a Sheet of Paper , I humbly conceive in those Cafes the beft and eafieft way will be to part them into Parcels , not exceeding above 10 or 12 particular Sums in ...
Seite 43
... several Denominations , and it is required to bring them all to the Loweft ; you must Reduce the highest or greatest Denomination to the next lefs , Adding the Numbers that are of that lefs Denomination together ; then Reduce their Sum ...
... several Denominations , and it is required to bring them all to the Loweft ; you must Reduce the highest or greatest Denomination to the next lefs , Adding the Numbers that are of that lefs Denomination together ; then Reduce their Sum ...
Seite 82
... ad- mit of a double Pofition ( as to Order of Place ) and no more . Thus , { I · 2 2. I } = 2 x 2 2. And if three Things are proposed to be varied , they may be changed fix several Ways ( as to their Order I bc 82 Part I. Arithmetick .
... ad- mit of a double Pofition ( as to Order of Place ) and no more . Thus , { I · 2 2. I } = 2 x 2 2. And if three Things are proposed to be varied , they may be changed fix several Ways ( as to their Order I bc 82 Part I. Arithmetick .
Seite 83
... several Ways ( as to their Order of Place ) and no more . 2 For , beginning with 1 , there will be { 1 : 3 : 3 Next , beginning with 2 , there will be Again , beginning with 3 it will be { I 2 · · I · 2 3 3 I • · 3 I 2 3 2 I • · Which ...
... several Ways ( as to their Order of Place ) and no more . 2 For , beginning with 1 , there will be { 1 : 3 : 3 Next , beginning with 2 , there will be Again , beginning with 3 it will be { I 2 · · I · 2 3 3 I • · 3 I 2 3 2 I • · Which ...
Seite 84
... several Variations . From thefe Computations may be started several pretty , and in- deed , very strange , Questions . EXAMPLES . . Six Gentlemen , that were travelling , met together by Chance at a certain Inn upon the Road , where ...
... several Variations . From thefe Computations may be started several pretty , and in- deed , very strange , Questions . EXAMPLES . . Six Gentlemen , that were travelling , met together by Chance at a certain Inn upon the Road , where ...
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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...