The Young Mathematician's Guide: Being a Plain and Easy Introduction to the Mathematicks ... With an Appendix of Practical Gauging |
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Page 14
... Product . But in Geometrical Opera- tions it is called the Rectangle or Plain . For inftance ; fuppofe it were required to increase 6 four times , that is , to multiply 6 into or with 4. These two Numbers are to be fet ( or placed ) ...
... Product . But in Geometrical Opera- tions it is called the Rectangle or Plain . For inftance ; fuppofe it were required to increase 6 four times , that is , to multiply 6 into or with 4. These two Numbers are to be fet ( or placed ) ...
Page 15
... Product 24 viz . 4 times 6 is 24 , as plainly appears by Addition , viz . By fetting down 6 four times , and then ... Products of the fingle Figures one into ano- ther must be perfectly learned by Heart , viz . That 2 times 2 is 4 , that ...
... Product 24 viz . 4 times 6 is 24 , as plainly appears by Addition , viz . By fetting down 6 four times , and then ... Products of the fingle Figures one into ano- ther must be perfectly learned by Heart , viz . That 2 times 2 is 4 , that ...
Page 16
... Product be less than Ten , fet it down underneath it's own place of Units , and proceed to the next Figure of the Multiplicand . But if their Product be above Ten ( or Tens ) then fet down the Overplus only ( or odd Figure , as in ...
... Product be less than Ten , fet it down underneath it's own place of Units , and proceed to the next Figure of the Multiplicand . But if their Product be above Ten ( or Tens ) then fet down the Overplus only ( or odd Figure , as in ...
Page 17
... Products , which gives the true Product , as before . By what hath been already faid , with a little Confideration had to the Examples , I prefume the Learner may eafily under- ftand how to multiply whole Numbers with any fingle Figure ...
... Products , which gives the true Product , as before . By what hath been already faid , with a little Confideration had to the Examples , I prefume the Learner may eafily under- ftand how to multiply whole Numbers with any fingle Figure ...
Page 18
... Product , must fand directly underneath the Third Figure of the First Product : And fo on until all is done . Now the Reafon of placing the first Figure of every particular Product in their Order , will be very obvious to any one that ...
... Product , must fand directly underneath the Third Figure of the First Product : And fo on until all is done . Now the Reafon of placing the first Figure of every particular Product in their Order , will be very obvious to any one that ...
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Common terms and phrases
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
Popular passages
Page 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.
Page 92 - If 8 men can do a piece of work in 12 days, how long will it take...
Page 168 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Page 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.
Page 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...
Page 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.
Page 476 - In any triangle, the sides are proportional to the sines of the opposite angles, ie. t abc sin A sin B sin C...
Page 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.
Page 469 - Term will give the Logarithm to 20 Places of Figures. But, if z be greater than 10000, the...
Page 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.