The Young Mathematician's Guide: Being a Plain and Easy Introduction to the Mathematicks ... With an Appendix of Practical Gauging |
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Σελίδα 479
... wherefore the Sum of the Legs is to their Difference , as the Tangent of half the Sum of the Angles opposite is to the Tangent of half their Difference . 2. E. D. Axiom IV . The Base , or greatest Side of any Plane Triangle is to ...
... wherefore the Sum of the Legs is to their Difference , as the Tangent of half the Sum of the Angles opposite is to the Tangent of half their Difference . 2. E. D. Axiom IV . The Base , or greatest Side of any Plane Triangle is to ...
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according added alſo Amount Angles Anſwer Arch Area Baſe becauſe become called Cent Circle common Conſequently Content continued Cube Cyphers Days Decimal Denomination Diameter Difference divided Dividend Diviſion Diviſor draw eaſily eaſy Ellipſis equal Equation Example extract fame Figure firſt four Fractions Gain Gallons Geometrical give given greater half hath Height Hence Inches infinite Intereſt laſt Length leſs Letters Line Logarithm Mean Meaſure Method multiplied muſt Note Number Operation parallel performed Periphery Perpendicular plain Point Pound Power PROBLEM Product Proportion propoſed Quantities Queſtion Quotient Radius Rate remain Right Line Root Rule ſaid ſame ſecond Sect Segment Series ſet ſeveral ſhall Shillings Side Sign Sine Solidity Square ſtand Subtraction ſuch Suppoſe Table taken Terms Theorem theſe Things third thoſe Triangle true Units Uſe Value whole whoſe
Δημοφιλή αποσπάσματα
Σελίδα 467 - 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 217 - Man playing at hazard won at the first throw as much money as he had in his pocket ; at the second throw he won 5 shillings more than the square root of what he then had ; at the third throw he won the square of all he then had ; and then he had ill 2. 16«.
Σελίδα 471 - C' (89) (90) (91) (92) (93) 112. In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference.
Σελίδα 138 - If equal quantities be added to equal quantities, the fums will be equal. 2. If equal quantities be taken from equal quantities, the remainders will be equal. 3. If equal quantities be multiplied by equal quantities, the produits will be equal.
Σελίδα 106 - 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.
Σελίδα 90 - 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.
Σελίδα 23 - The original of all weights, used in England, was a grain or corn of wheat, gathered out of the middle of the ear ; and being well dried, 32 of them were to make one pennyweight, 20 pennyweights one ounce, and 12 ounces one pound. But, in later times, it was thought sufficient to divide the same pennyweight into 24 equal parts, still called grains, being the least weight now in common use; and from hence the rest are computed.
Σελίδα 470 - In any triangle, the sides are proportional to the sines of the opposite angles, ie. t abc sin A sin B sin C...
Σελίδα 180 - When any number of quantities are proportionals, as one antecedent is to its consequent, so is the sum of all the antecedents to the sum of all the consequents.
Σελίδα 471 - FG 5 that is in Words, half the Sum of the Legs, Is to half their Difference, As the Tangent of half the Sum of the oppofite Angles, Is to the Tangent of half their Difference : But Wholes are as their Halves ; wherefore the Sum of the Legs, Is...
Πληροφορίες βιβλιογραφίας
| Τίτλος | The Young Mathematician's Guide: Being a Plain and Easy Introduction to the Mathematicks ... With an Appendix of Practical Gauging |
| Συγγραφέας | John Ward (of Chester.) |
| Εκδότης | S. Birt, 1747 |
| Πρωτότυπο από | το Πανεπιστήμιο του Μίτσιγκαν |
| Ψηφιοποιήθηκε στις | 11 Ιουν. 2007 |
| Μέγεθος | 480 σελίδες |
| Εξαγωγή αναφοράς | BiBTeX EndNote RefMan |