The Young Mathematician's Guide: Being a Plain and Easy Introduction to the Mathematicks ... With an Appendix of Practical GaugingS. Birt, 1747 - 480 Seiten |
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Seite 3
... because every Unit or Integer concerned in it , reprefents one whole Quantity of fome Species or thing propofed . The fecond is that which fuppofes an Unit ( and confequently the Quantity or thing reprefented by that Unit ) to be Broken ...
... because every Unit or Integer concerned in it , reprefents one whole Quantity of fome Species or thing propofed . The fecond is that which fuppofes an Unit ( and confequently the Quantity or thing reprefented by that Unit ) to be Broken ...
Seite 4
... because of itself it fignifies no- thing ; for if never fo many Cyphers be Added to , or Subftracted from , any Number , they can neither increase nor diminish that Number ; but yet , as a Cypher ( or Cyphers ) may be placed , the other ...
... because of itself it fignifies no- thing ; for if never fo many Cyphers be Added to , or Subftracted from , any Number , they can neither increase nor diminish that Number ; but yet , as a Cypher ( or Cyphers ) may be placed , the other ...
Seite 7
... because it stands in the Place of Units , and therefore fignifies but it's own fimple Va- lue , to wit , 9 Units , or 9. The fecond Figure 5 ftands in the Place of Tens , and therefore fignifies Five Tens or Fifty . The Figure 7 ftands ...
... because it stands in the Place of Units , and therefore fignifies but it's own fimple Va- lue , to wit , 9 Units , or 9. The fecond Figure 5 ftands in the Place of Tens , and therefore fignifies Five Tens or Fifty . The Figure 7 ftands ...
Seite 9
... because there is no Figure overplus ( as before ) I fet down a Cypher underneath the place of Hundreds , and carry the 2 Tens ( or rather the 2000 ) to the place of Thousands , faying 95 • " h ( as before ) 2 I carry C ( $ 9 Chap . 2 ...
... because there is no Figure overplus ( as before ) I fet down a Cypher underneath the place of Hundreds , and carry the 2 Tens ( or rather the 2000 ) to the place of Thousands , faying 95 • " h ( as before ) 2 I carry C ( $ 9 Chap . 2 ...
Seite 17
... because the ftands in the Units place . Now here it is not really 8 times 6 = 48 , but it is 4808 times 60-480 , because the 6 ftands in the place of Tens . And here it is not 8 times 540 , but it is really 40008 times 500-4000 ...
... because the ftands in the Units place . Now here it is not really 8 times 6 = 48 , but it is 4808 times 60-480 , because the 6 ftands in the place of Tens . And here it is not 8 times 540 , but it is really 40008 times 500-4000 ...
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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
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Seite 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.
Seite 92 - If 8 men can do a piece of work in 12 days, how long will it take...
Seite 168 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Seite 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.
Seite 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...
Seite 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.
Seite 476 - In any triangle, the sides are proportional to the sines of the opposite angles, ie. t abc sin A sin B sin C...
Seite 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.
Seite 469 - Term will give the Logarithm to 20 Places of Figures. But, if z be greater than 10000, the...
Seite 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.