The Young Mathematician's Guide: Being a Plain and Easy Introduction to the Mathematicks ... With an Appendix of Practical Gauging |
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Page 286
... Radius's ; for it's plain by the laft Definition , that one and the fame Radius ( as CB ) muft needs defcribe equal Circles , how many foever they are . 4. The Diameter of a Circle , is twice its Radius joined into one Right Line ; as ...
... Radius's ; for it's plain by the laft Definition , that one and the fame Radius ( as CB ) muft needs defcribe equal Circles , how many foever they are . 4. The Diameter of a Circle , is twice its Radius joined into one Right Line ; as ...
Page 287
... Radius ( as DC ) ftanding Perpendicular upon the Diameter at the Center C , cutting the Periphery of the Semicircle ... Radius's of the Circle , and that Arch of its Periphery where they touch , as the Figure ACB : And the Arch AB is the ...
... Radius ( as DC ) ftanding Perpendicular upon the Diameter at the Center C , cutting the Periphery of the Semicircle ... Radius's of the Circle , and that Arch of its Periphery where they touch , as the Figure ACB : And the Arch AB is the ...
Page 292
... Radius , and with it defcribe a Cir- cle : From its Center C fet off the other Line AC , and join ACB with a Right - line . Then will A BAC + CB ; and ADA C - CB ; as was required . C -B B PRO- PROBLEM II . To bifect , or divide a Right ...
... Radius , and with it defcribe a Cir- cle : From its Center C fet off the other Line AC , and join ACB with a Right - line . Then will A BAC + CB ; and ADA C - CB ; as was required . C -B B PRO- PROBLEM II . To bifect , or divide a Right ...
Page 293
... Radius greater than half its Length , defcribe Two Arches that may cross each other in two Points , as at D and F ; then join those Points D F with a Right - line , and it will bifect the Line AB in the Middle at C ; viz . it will make ...
... Radius greater than half its Length , defcribe Two Arches that may cross each other in two Points , as at D and F ; then join those Points D F with a Right - line , and it will bifect the Line AB in the Middle at C ; viz . it will make ...
Page 294
... Radius , and with it upon the Point C , defcribe a Semi- circle , as HMx N ; then make the Arch HM equal to the Arch x N ; thro ' the Points M and x draw the Right - line FD , and it will be parallel to the Line A C , as was requir❜d ...
... Radius , and with it upon the Point C , defcribe a Semi- circle , as HMx N ; then make the Arch HM equal to the Arch x N ; thro ' the Points M and x draw the Right - line FD , and it will be parallel to the Line A C , as was requir❜d ...
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Common terms and phrases
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
Popular passages
Page 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.
Page 92 - If 8 men can do a piece of work in 12 days, how long will it take...
Page 168 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Page 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.
Page 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...
Page 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.
Page 476 - In any triangle, the sides are proportional to the sines of the opposite angles, ie. t abc sin A sin B sin C...
Page 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.
Page 469 - Term will give the Logarithm to 20 Places of Figures. But, if z be greater than 10000, the...
Page 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.