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 21
... Quotient ; which fhews how often the Divifor is contained in the Dividend , or into what Number of Equal Parts the Dividend is then divided . Therefore , Divifion is by Euclid fitly termed the measuring of one Number by another , viz ...
... Quotient ; which fhews how often the Divifor is contained in the Dividend , or into what Number of Equal Parts the Dividend is then divided . Therefore , Divifion is by Euclid fitly termed the measuring of one Number by another , viz ...
Page 22
... Quotient . Here I confider how many times 6 there is in 24 , and find it 4 , viz . 4 times 6 is 24 , therefore 4 is the true Quotient or Answer required . This is apparent by Subtraction , as in the Margin ; where 24 the Dividend is fet ...
... Quotient . Here I confider how many times 6 there is in 24 , and find it 4 , viz . 4 times 6 is 24 , therefore 4 is the true Quotient or Answer required . This is apparent by Subtraction , as in the Margin ; where 24 the Dividend is fet ...
Page 23
... Quotient Figure must be fuch , as being multiplied into the Divifor , will produce a Product equal to fuch a part of the Dividend as is then taken for that Operation : But if fuch a Product cannot be exactly found , then the next lefs ...
... Quotient Figure must be fuch , as being multiplied into the Divifor , will produce a Product equal to fuch a part of the Dividend as is then taken for that Operation : But if fuch a Product cannot be exactly found , then the next lefs ...
Page 24
... Quotient is found to be 8569 , being exactly the Eighth part of 68552 , or the Multiplicand of the proposed Example of Multiplication . As was required . The Reafon of the Operations will be very plain to any one that will a little ...
... Quotient is found to be 8569 , being exactly the Eighth part of 68552 , or the Multiplicand of the proposed Example of Multiplication . As was required . The Reafon of the Operations will be very plain to any one that will a little ...
Page 25
... Quotient Figure This Product of the Divifor into the Quotient is 64000 , viz . 8 times 8000 ; the 64000 Quotient Figure being always of the fame Value or Degree with that Figure under which the Unit's place of it's Product ftands ...
... Quotient Figure This Product of the Divifor into the Quotient is 64000 , viz . 8 times 8000 ; the 64000 Quotient Figure being always of the fame Value or Degree with that Figure under which the Unit's place of it's Product ftands ...
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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.