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 3
... third Artificial . The first , being the most plain and eafy , is commonly called Vulgar Arithmetick in whole Numbers ; because every Unit or Integer concerned in it , reprefents one whole Quantity of fome Species or thing propofed ...
... third Artificial . The first , being the most plain and eafy , is commonly called Vulgar Arithmetick in whole Numbers ; because every Unit or Integer concerned in it , reprefents one whole Quantity of fome Species or thing propofed ...
Page 6
... reprefents . The fecond Place is that of Tens , and any Figure standing in that Place fignifieth fo many Tens as that Figure reprefents Units . The The third Place is Hundreds , the fourth Place Thousands 6 Part 1 . Arithmetick .
... reprefents . The fecond Place is that of Tens , and any Figure standing in that Place fignifieth fo many Tens as that Figure reprefents Units . The The third Place is Hundreds , the fourth Place Thousands 6 Part 1 . Arithmetick .
Page 7
... third Place , or Place of Hundreds , and therefore it fignifies Seven Hundred ; and the whole Sum is to be read or pronounced thus , Seven Hundred Fifty Nine . Note , Although the Figure 7 ftands in the third Place ( accord- ing to the ...
... third Place , or Place of Hundreds , and therefore it fignifies Seven Hundred ; and the whole Sum is to be read or pronounced thus , Seven Hundred Fifty Nine . Note , Although the Figure 7 ftands in the third Place ( accord- ing to the ...
Page 8
... third Figure from the Place of Units , bears the Name of Hundreds ; which fhews that if any great Sum be parted , or rather diftinguished into Periods , of Three Figures in each Period ( as in the foregoing Table ) it will be of good ...
... third Figure from the Place of Units , bears the Name of Hundreds ; which fhews that if any great Sum be parted , or rather diftinguished into Periods , of Three Figures in each Period ( as in the foregoing Table ) it will be of good ...
Page 14
... Third Number , called the 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 ...
... Third Number , called the 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 ...
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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.