The Young Mathematician's Guide: Being a Plain and Easy Introduction to the Mathematicks ... With an Appendix of Practical GaugingS. Birt, 1747 - 480 σελίδες |
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Σελίδα 293
... requir'd . D X B PROBLEM IV . At a Point A , in a Right - line given AB , to make a Right - lin'd Angle equal to a Right - lin'd Angle given C. ( 23. 8. 1. ) Upon the given Angular Point C de- scribe an Arch , as FD , ( making C D any ...
... requir'd . D X B PROBLEM IV . At a Point A , in a Right - line given AB , to make a Right - lin'd Angle equal to a Right - lin'd Angle given C. ( 23. 8. 1. ) Upon the given Angular Point C de- scribe an Arch , as FD , ( making C D any ...
Σελίδα 294
... requir'd . ( 31. e . 1. ) Take any convenient Point in the given Line , as at C , ( the farther off x the better ; ) make M. C x Radius , and with it upon F the Point C , describe a Semi- circle , as HMxN ; then make A H the Arch HM ...
... requir'd . ( 31. e . 1. ) Take any convenient Point in the given Line , as at C , ( the farther off x the better ; ) make M. C x Radius , and with it upon F the Point C , describe a Semi- circle , as HMxN ; then make A H the Arch HM ...
Σελίδα 296
... requir'd . A PROBLEM XI . B ( provia Three Right - lines being given , to form them into a Triangle , ( provided any two of them , taken together , be longer than the Third ) ( 22. e . 1. ) A B Let the given Lines be C B A C Make either ...
... requir'd . A PROBLEM XI . B ( provia Three Right - lines being given , to form them into a Triangle , ( provided any two of them , taken together , be longer than the Third ) ( 22. e . 1. ) A B Let the given Lines be C B A C Make either ...
Σελίδα 313
... requir'd . PROBLEM II . Iwo Right - lines being given , to find a Mean proportional Line between Let the given Lines be them . ( 13. e . 6. ) P B PC Join the two given Lines into one viz . make BC = BP + PC , and upon BC , as Diameter ...
... requir'd . PROBLEM II . Iwo Right - lines being given , to find a Mean proportional Line between Let the given Lines be them . ( 13. e . 6. ) P B PC Join the two given Lines into one viz . make BC = BP + PC , and upon BC , as Diameter ...
Σελίδα 314
... requir'd ; that is , AD : DC :: AB : BF . THEOREM XIV . If any Angle of a plain Triangle be bisected ( viz . divided into two e- qual Angles ) with a Right - line , viz . as C A is suppos'd to do the Angle BCD ) it will cut the opposite ...
... requir'd ; that is , AD : DC :: AB : BF . THEOREM XIV . If any Angle of a plain Triangle be bisected ( viz . divided into two e- qual Angles ) with a Right - line , viz . as C A is suppos'd to do the Angle BCD ) it will cut the opposite ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
alſo Amount Angles Anſwer Arch Area Arithmetick Axiom Bafe Baſe becauſe Buſhels Cafe call'd Cathetus CHAP Circle Circle's Conſequently Cube Root Cubick Inches Cyphers Decimal Denominator Diameter Difference divided Dividend Diviſor Ducats eaſy Ellipsis equal Equation Example extract Extreams faid fame firſt Fractions Fruftum fuch Gallons given Reſolvend hath Hence Hyperbola increaſed Inſtance Intereſt juſt laſt Latus Rectum leſs Logarithm Mean Rate Meaſure multiplied muſt Number of Terms obſerved Operation Parabola Periphery Places of Figures plain Point Pound Power Product Progreſſion Proportion propoſed Quantities Queſtion Quotient Figure Radius raiſed repreſent requir'd reſpective reſt Right Line Right-angled Right-line Rule ſaid ſame ſay ſecond Sect Segment Series ſet ſeveral ſhall ſhew Side Sine ſingle ſmall ſome Square Root ſtand Subtraction ſuch Suppoſe Surd Tangent Theorem theſe third thoſe Tranſverſe Triangle Troy Weight Unciæ Uſe Vulgar Fractions Weight whole Numbers whoſe
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 92 - If 8 men can do a piece of work in 12 days, how long will it take...
Σελίδα 168 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Σελίδα 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.
Σελίδα 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...
Σελίδα 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.
Σελίδα 476 - In any triangle, the sides are proportional to the sines of the opposite angles, ie. t abc sin A sin B sin C...
Σελίδα 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.
Σελίδα 469 - Term will give the Logarithm to 20 Places of Figures. But, if z be greater than 10000, the...
Σελίδα 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.