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 16
... Set down these Numbers as before , Thus { 856g 68552 Beginning at the Units place , fay 8 times 9 is 72 , fet down the 2 underneath it's own place of Units , and bear the 70 , or 7 Tens in mind , and proceed to the next Figure of the ...
... Set down these Numbers as before , Thus { 856g 68552 Beginning at the Units place , fay 8 times 9 is 72 , fet down the 2 underneath it's own place of Units , and bear the 70 , or 7 Tens in mind , and proceed to the next Figure of the ...
Page 17
... Set down the whole Product 68 , and the Work is done . So that , 8569x8 = 68552 , the Product required . Now the Reafon of this and all other the like Operations , may be easily conceived from this which follows . 8 5 6 3 { The fame ...
... Set down the whole Product 68 , and the Work is done . So that , 8569x8 = 68552 , the Product required . Now the Reafon of this and all other the like Operations , may be easily conceived from this which follows . 8 5 6 3 { The fame ...
Page 29
... set over the Divifor , with a small Line betwixt them adjoining to the Quotient . EXAMPLE 5 . Suppose it were required to divide 379 by 5 . the Remainder . 5 ) 379 ( 75 the Divifor . 35 * 29 25 Remains ( 4 ) EXAMPLE 6 . Again , Let it ...
... set over the Divifor , with a small Line betwixt them adjoining to the Quotient . EXAMPLE 5 . Suppose it were required to divide 379 by 5 . the Remainder . 5 ) 379 ( 75 the Divifor . 35 * 29 25 Remains ( 4 ) EXAMPLE 6 . Again , Let it ...
Page 63
... Set the Unit's Place of the Multiplier directly underneath that Figure of the Multiplicand , whofe Place you intend to keep in the Product ; and place all the other Figures of the Multiplier in a quite contrary Order to the ufual way ...
... Set the Unit's Place of the Multiplier directly underneath that Figure of the Multiplicand , whofe Place you intend to keep in the Product ; and place all the other Figures of the Multiplier in a quite contrary Order to the ufual way ...
Page 115
... Set down all the particular Rates , with the Mean Rate , and find their Differences , as before : add together all the Differences into one Sum ; Then As the Sum of all the Differences : Is to the Sum of all the Quantities given :: So ...
... Set down all the particular Rates , with the Mean Rate , and find their Differences , as before : add together all the Differences into one Sum ; Then As the Sum of all the Differences : Is to the Sum of all the Quantities given :: So ...
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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.