The Young Mathematician's Guide: Being a Plain and Easy Introduction to the Mathematicks ... With an Appendix of Practical Gauging |
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Common terms and phrases
alſo Amount Angles Anſwer Arch Area Arithmetick Axiom Bafe Baſe becauſe Buſhels Cafe call'd Cathetus CHAP Circle Circle's Conſequently Cube Root Cubick Inches Cyphers Decimal Denominator Diameter Difference divided Dividend Diviſor Ducats eaſy Ellipsis equal Equation Example extract Extreams faid fame firſt Fractions Fruftum fuch Gallons given Reſolvend hath Hence Hyperbola increaſed Inſtance Intereſt juſt laſt Latus Rectum leſs Logarithm Mean Rate Meaſure multiplied muſt Number of Terms obſerved Operation Parabola Periphery Places of Figures plain Point Pound Power Product Progreſſion Proportion propoſed Quantities Queſtion Quotient Figure Radius raiſed repreſent requir'd reſpective reſt Right Line Right-angled Right-line Rule ſaid ſame ſay ſecond Sect Segment Series ſet ſeveral ſhall ſhew Side Sine ſingle ſmall ſome Square Root ſtand Subtraction ſuch Suppoſe Surd Tangent Theorem theſe third thoſe Tranſverſe Triangle Troy Weight Unciæ Uſe Vulgar Fractions Weight whole Numbers whoſe
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.