## 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 |

### Table des matières

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72 | |

85 | |

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110 | |

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123 | |

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163 | |

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202 | |

347 | |

361 | |

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433 | |

### Expressions et termes fréquents

alfo Anfwer Angles Arch Area Arithmetick Axis Bafe becauſe Cafe call'd Cask Cathetus Circle Circle's Compound Intereft Cone Confequently Cube Cubick Inches Cyphers Decimal defcribe Demonftration Denomination Diameter Difference Divided Dividend Divifion Divifor Dollers Ducats eafily eafy Ellipfis Equal Equation Example Extreams faid fame feveral fhall fhew fingle Firft Firſt fome Fractions Fruftum ftand fuch Gallons given hath Height Hence Hyperbola Inftance interfect laft Latus Rectum Leffer Lefs Lemma Line Meafure muft Multiply muſt Number of Terms obferve Parabola Parallelogram Periphery Perpendicular plain Point Pound Power Product Progreffion propofed Proportion Quantities Question Quotient Radius Raife Reafon Refolvend refpective requir'd Right-angled Right-line Root Rule Scholium Sect Segment Series Sides Solidity Square Subftract Superficies Suppofe Surd thefe Theorem theſe Third thofe thoſe Tranfverfe Triangle Troy Weight twill ufually Uncia's Vulgar Fractions whofe whole Numbers

### Fréquemment cités

Page 250 - 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 305 - 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 96 - 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 82 - 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 79 - ... 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 223 - 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 255 - And altho' it be not lawful to Let out Money at Compound Intereft ; yet in Purchafing of Annuities or Penfions, &c...

Page 162 - Denominator ; and each Numerator into all the "Denominators but its own, for New Numerators.

Page 46 - 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.

Page 455 - RULE. — To the square of the bung diameter add the square of the head diameter ; multiply the sum by the length, and the product by .0014 for ale gallons, or by .0017 for wine gallons.