The Young Mathematician's Guide: Being a Plain and Easy Introduction to the Mathematicks. In Five Parts. Viz. Arithmetick .... Algebra .... The elements of geometry .... Conick-sections .... The arithmetick of infinites .... I.. II.. III.. IV.. V.
A.Bettesworth, 1728 - 456 pages
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AEquation aforeſaid alſo Angles Anſwer Area ariſe Arithmetick Axiom Baſe becauſe call'd Caſe Cathetus Circle Conſequently Cube Cyphers Demonſtration deſcribe Diameter Diſtance Diviſor eaſily eaſy Ellipſis Equal Exam Example Extreams Figure Firſt Firſt Term Fraćtions Gallons given greateſt hath Height Hence Hyperbola Inches Increaſe inſerted Inſtance Intereſt JExample juſt laſt leaſt Leſs Line Meaſure moſt Multiply muſt Number obſerve otherwiſe P R O B L E M Parabola Periphery plain Point Power Produćt Progreſſion Proportion propoſed Quantities Queſtion Quotient Raiſe Reaſon Rečiangle repreſent requir’d Reſolvend Reſolving reſpective reſt Right-angled Right-line Root Rule ſaid ſame ſay Seči Sečt Sečtion Segment Series ſet ſeveral ſhall ſhew ſhould Sides ſingle ſmall ſome ſought Square ſtand ſuch Suppoſe Surd Theorem theſe thoſe Tranſverſe Triangle Uncia's underſtood Uſe uſually whoſe Zecimal Zenominator Zerms Zivided Zividend Ziviſion
Page 252 - Annuities or pensions are said to be in arrears when they ' are payable or due either yearly, half-yearly, or quarterly, auid are unpaid for any number of payments.
Page 307 - The conviction of a truth may be irresistible, and yet not immediate. Thus, my conviction that the three angles of every plain triangle are equal to two right angles, is irresistible, but it is not immediate ; I am convinced of it by demonstrative reasoning. There are other truths in mathematics of which we have not only an irresistible but an immediate conviction. Such are the axioms. Our belief of the axioms in mathematics is not grounded upon argument...
Page 98 - If 2 men can do 12 rods of ditching in 6 days ; how many rods may be done by 8 men in 24 days ? Ans.
Page 84 - Seven gentlemen, who were travelling, met together by chance at a certain inn upon the road, where they were so well pleased with their host, and each other's company, that in a frolic they offered him...
Page 81 - ... wheat corn for the first year, and that product to be sown the second year, and so on from year to year, until the end of the time, allowing the increase to be but tenfold proportion. I demand what the 1 1 years' service came to, supposing the sum of the whole produce to be sold at 4s.
Page 225 - Four men walking abroad found a purse containing shillings only, out of which every one of them took a number at a venture. Afterwards comparing their numbers together, they found that if the first took 25 shillings from the second, it would make his number equal to what the second had left. If the second took 30 shillings from the third, his money would then be triple what the third had left. And if the third took 40 shillings from the fourth, his money would then be double of what the fourth had...
Page 257 - And altho' it be not lawful to Let out Money at Compound Intereft ; yet in Purchafing of Annuities or Penfions, &c...
Page 164 - Denominator ; and each Numerator into all the "Denominators but its own, for New Numerators.
Page 48 - FRACTIONS, or broken numbers, are expressions for any assignable parts of an unit ; and are represented by two numbers, placed one above the other, with a line drawn between them. The number above the line is called the numerator, and that below the line the denominator.