The shipwright's vade-mecum [by D. Steel].1805 |
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Page 2
... answer . EXAMPLE 1. The sum of a number of terms , increasing by 3 , the ex- tremes being 1 and 25 ? Here it is evident , that as the difference between 1 and 25 is 24 , and the common difference 3 , as 24-3 = 8 , the number of terms ...
... answer . EXAMPLE 1. The sum of a number of terms , increasing by 3 , the ex- tremes being 1 and 25 ? Here it is evident , that as the difference between 1 and 25 is 24 , and the common difference 3 , as 24-3 = 8 , the number of terms ...
Page 3
... Answer . The smallest extreme is required . of a number whose greatest term is 103 ; the common difference 4 , the number of terms 25 . 4 × 24-96 . 103-96-7 the Answer . PROPOSITION III . Given the extremes and common difference , to ...
... Answer . The smallest extreme is required . of a number whose greatest term is 103 ; the common difference 4 , the number of terms 25 . 4 × 24-96 . 103-96-7 the Answer . PROPOSITION III . Given the extremes and common difference , to ...
Page 4
... Answer . PROPOSITION III . Given the extremes and ratio , to find the number of terms . RULE . Divide the greatest extreme by the least term ; divide the quo- tient by the ratio , till it is equal to it ; add two to the number of times ...
... Answer . PROPOSITION III . Given the extremes and ratio , to find the number of terms . RULE . Divide the greatest extreme by the least term ; divide the quo- tient by the ratio , till it is equal to it ; add two to the number of times ...
Page 5
... Answer . EXAMPLE . Reduce & to a fraction of equal value . x5 = 2 x2 = 18 . EXAMPLE . Reduce 10 to a fraction of equal value . 10 × 2 = 20 . 9x2 = 18 . Answer 18 . EXAMPLE 2. Reduce to a fraction of equal value . 54-3 = 18 . 18 ÷ 3 = 6 ...
... Answer . EXAMPLE . Reduce & to a fraction of equal value . x5 = 2 x2 = 18 . EXAMPLE . Reduce 10 to a fraction of equal value . 10 × 2 = 20 . 9x2 = 18 . Answer 18 . EXAMPLE 2. Reduce to a fraction of equal value . 54-3 = 18 . 18 ÷ 3 = 6 ...
Page 6
... Answer 384 . EXAMPLE 2. Given the number 73 and the denominator 12 . 7 × 12 = 93 Answer CASE 4. To reduce a compound fraction into a simple fraction . RULE . Multiply all the numerators and denominators together . EXAMPLE 1. Given 3 of ...
... Answer 384 . EXAMPLE 2. Given the number 73 and the denominator 12 . 7 × 12 = 93 Answer CASE 4. To reduce a compound fraction into a simple fraction . RULE . Multiply all the numerators and denominators together . EXAMPLE 1. Given 3 of ...
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Common terms and phrases
afore and abaft aftside angle beams bevellings bitts body plan body-plan bolts bowsprit broad butt cant timber capstan centre of gravity chant Brig cheek construction curve denominator described diagonal line diameter distance draw drawn equal fashion-piece fayed feet floor fore and aft forecastle foremost foreside frame Frigate futtock GUNS GUNS GUNS TONS half-breadth plan hawse-pieces head heel height of breadth horizontal line Inboard inches intersect iron keel keelson knee length likewise logarithm lower deck mast middle line mould Multiply parallel perpendicular placed plank Plate ports rabbet rail ribband rising line Royal Navy rudder sail SCANTLING scarphs Sheer Draught sheer plan sheer-plan ship's Sloop specific gravity spots square stem stern stern-post strakes sweep Table of Dimensions taffarel thick thwartship TONS TONS 74 TONS TONS TONS top-timber line topside treenails trimmed underside upper deck upper edge upperside vessel VULGAR FRACTIONS water lines wing transom
Popular passages
Page 44 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.
Page 41 - Or, to take a case yet stronger, when it is affirmed, that " the area of a circle is equal to that of a triangle having the circumference for its base, and the radius for its altitude...
Page 25 - 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, etc.
Page 21 - To find then the logarithm of a vulgar fraction, subtract the logarithm of the denominator from that of the numerator.
Page 47 - To the length of the edge add twice the length of the back or base, and reserve the sum; multiply the height of the wedge by the breadth of the base; then multiply this product by the reserved sum, and onesixth of the last product will be the contents.
Page 50 - A SPHEROID is a solid, generated by the revolution of an ellipse about one of its diameters. If the ellipse revolves about its longer or...
Page 14 - In the same manner multiply all the multiplicand by the inches, or second denomination, in the multiplier) and set the result of each term one place removed to the right 'hand of those in the multiplicand. 4.
Page 17 - Find the greatest square in the left period, and place its root at the right; subtract the square of this root from the first period, and to the remainder annex the next period for a dividend.
Page 250 - ... the length shall be taken on a straight line along the rabbet of the keel, from the back of the main stern-post to a perpendicular line from the fore part of the main stem under the bowsprit, from which subtracting three-fifths of the breadth, the remainder shall be esteemed the just length of the keel to find the tonnage; and the breadth shall be taken from the outside of the outside plank in the broadest part of the...
Page 21 - To Divide One Number by Another, Subtract the logarithm of the divisor from the logarithm of the dividend, and obtain the antilogarithm of the difference.