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 356
... Sine ( and confequently the natural Tangent ) of any pro- pos'd Arch or Angle , by two Equations , without the Help of any precedent Sine , as ufual ; which I did fome Years ago communicate to the ingenious Mr. Jofeph Ralphson , and he ...
... Sine ( and confequently the natural Tangent ) of any pro- pos'd Arch or Angle , by two Equations , without the Help of any precedent Sine , as ufual ; which I did fome Years ago communicate to the ingenious Mr. Jofeph Ralphson , and he ...
Σελίδα 357
... Sine of 90 ° . 13 . As was required . Thus you may find the Right Sine of any Arch or Angle less than 45 Degrees . But But , if the given Arch be greater than 45 Chap . 6. Of the Circle's Periphery , & c . 357.
... Sine of 90 ° . 13 . As was required . Thus you may find the Right Sine of any Arch or Angle less than 45 Degrees . But But , if the given Arch be greater than 45 Chap . 6. Of the Circle's Periphery , & c . 357.
Σελίδα 358
... Sine fought , as before . Then will a ++ 28a3 + 195aa + 36 paa + 108pa28a 19681p Example . Suppofe it were required to find the Sine of 75 ° . 32. or ( which is the fame Thing ) to find the Co - fine of 14 ° . 28 ′ . = 868 ' , whose ...
... Sine fought , as before . Then will a ++ 28a3 + 195aa + 36 paa + 108pa28a 19681p Example . Suppofe it were required to find the Sine of 75 ° . 32. or ( which is the fame Thing ) to find the Co - fine of 14 ° . 28 ′ . = 868 ' , whose ...
Σελίδα 359
... Sine of 75 ° . 32 ' . as was required . Having found the Sine and Co - fine of any Arch , the Tangent is ufually found by this Proportion ; Viz . { the Radius : to the Tangent of the fame Arch . As the Cofine of any Arch is to the Sine ...
... Sine of 75 ° . 32 ' . as was required . Having found the Sine and Co - fine of any Arch , the Tangent is ufually found by this Proportion ; Viz . { the Radius : to the Tangent of the fame Arch . As the Cofine of any Arch is to the Sine ...
Σελίδα 360
... Sine of 90 ° . 13. ( before found ) be given , viz . 0,3291415 = S , to find T the Tangent of the fame Arch . First 0,3291415 , 3291415 = 0,108334127 SS . Again 10,108334127 = 0,8916658731 - SS . Then 0,891665873 ) 0,108334127 ( 0 ...
... Sine of 90 ° . 13. ( before found ) be given , viz . 0,3291415 = S , to find T the Tangent of the fame Arch . First 0,3291415 , 3291415 = 0,108334127 SS . Again 10,108334127 = 0,8916658731 - SS . Then 0,891665873 ) 0,108334127 ( 0 ...
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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
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.