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 5
... taken from 9 , that fo their Difference may be found . The Sign of Multiplication ; as 9 × 6 , is 9 in- to 6 , and fignifies that 9 is to be Multiplied into or with 6 . The Sign of Divifion ; as 8-2 , is 8 by 2 , and fignifies that 8 is ...
... taken from 9 , that fo their Difference may be found . The Sign of Multiplication ; as 9 × 6 , is 9 in- to 6 , and fignifies that 9 is to be Multiplied into or with 6 . The Sign of Divifion ; as 8-2 , is 8 by 2 , and fignifies that 8 is ...
Page 10
... taken together . Euclid 1 . Axiom 19 . That is , the Numbers which are propofed to be added toge- ther , are by that Axiom understood to be the feveral Parts , and their Sum or Total Amount found by Addition is understood to be the ...
... taken together . Euclid 1 . Axiom 19 . That is , the Numbers which are propofed to be added toge- ther , are by that Axiom understood to be the feveral Parts , and their Sum or Total Amount found by Addition is understood to be the ...
Page 11
... taken to discover and correct the Error . EXAMPLE . 5647 Add 3289 The Sum of thefe Parts is , 12952 4016 ! 2900 5007 ... taken out of another , that fo the Remainder , Difference , or Excefs may be known . As 6 taken out of 9 , their ...
... taken to discover and correct the Error . EXAMPLE . 5647 Add 3289 The Sum of thefe Parts is , 12952 4016 ! 2900 5007 ... taken out of another , that fo the Remainder , Difference , or Excefs may be known . As 6 taken out of 9 , their ...
Page 13
... taken together . That is , in this Rule the Number from which Subtraction is required to be made , is understood to be the Whole , and the Subtrahend , or Number to be fubtracted , is fuppofed to be a Part of that Whole ; confequently ...
... taken together . That is , in this Rule the Number from which Subtraction is required to be made , is understood to be the Whole , and the Subtrahend , or Number to be fubtracted , is fuppofed to be a Part of that Whole ; confequently ...
Page 14
... taken 59435 being here the whole , 47608 as part of that whole ; there will remain 11827 the other part ( as before ) And if from laft part , viz . 59435 the whole , there be Subtracted the 11827 there will remain 47608 the firft part ...
... taken 59435 being here the whole , 47608 as part of that whole ; there will remain 11827 the other part ( as before ) And if from laft part , viz . 59435 the whole , there be Subtracted the 11827 there will remain 47608 the firft part ...
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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.