A Treatise of Plane Trigonometry: To which is Prefixed a Summary View of the Nature and Use of Logarithms : Being the Second Part of a Course of Mathematics, Adapted to the Method of Instruction in the American Colleges |
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Page 101
... gallons of wine cost 31 dollars , what will 35 gal- lons cost ? 63 81:35 : 45 The extent from 63 to 81 , will reach from 35 to 45 . The Line of Sines . 186. The line on Gunter's scale marked SIN . is a line of logarithmic sines , made ...
... gallons of wine cost 31 dollars , what will 35 gal- lons cost ? 63 81:35 : 45 The extent from 63 to 81 , will reach from 35 to 45 . The Line of Sines . 186. The line on Gunter's scale marked SIN . is a line of logarithmic sines , made ...
Page 29
... gallon , 231 cubic inches 1 wine gallon , = 2150.42 cubic inches1 bushel , 1 cubic foot of pure water weighs 1000 avoirdupois ounces , or 62 pounds . * See note E. PROBLEM 1 . To find the SOLIDITY of a PRISM MENSURATION OF SOLIDS . 29.
... gallon , 231 cubic inches 1 wine gallon , = 2150.42 cubic inches1 bushel , 1 cubic foot of pure water weighs 1000 avoirdupois ounces , or 62 pounds . * See note E. PROBLEM 1 . To find the SOLIDITY of a PRISM MENSURATION OF SOLIDS . 29.
Page 31
... gallons or bushels which a vessel will contain may be found , by calculating the capacity in inches , and then dividing by the number of inches in 1 gallon or bushel . The weight of water in a vessel of given dimensions is easily ...
... gallons or bushels which a vessel will contain may be found , by calculating the capacity in inches , and then dividing by the number of inches in 1 gallon or bushel . The weight of water in a vessel of given dimensions is easily ...
Page 49
... gallons . = 3. How many gallons of ale can be put into a vat in the form of a conic frustum , if the larger diameter be 7 feet , the smaller diameter 6 feet , and the depth 8 feet ? PROBLEM VII . To find the SURFACE of a SPHEre . 69 ...
... gallons . = 3. How many gallons of ale can be put into a vat in the form of a conic frustum , if the larger diameter be 7 feet , the smaller diameter 6 feet , and the depth 8 feet ? PROBLEM VII . To find the SURFACE of a SPHEre . 69 ...
Page 52
... gallons will fill a hollow sphere 4 feet in diameter ? Ans . The capacity is 33.5104 feet = 250 gallons . 3. If the diameter of the moon be 2180 miles , what is its solidity ? Ans . 5,424,600,000 miles . 72. If the solidity of a sphere ...
... gallons will fill a hollow sphere 4 feet in diameter ? Ans . The capacity is 33.5104 feet = 250 gallons . 3. If the diameter of the moon be 2180 miles , what is its solidity ? Ans . 5,424,600,000 miles . 72. If the solidity of a sphere ...
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A Treatise of Plane Trigonometry: To Which Is Prefixed, a Summary View of ... Jeremiah Day No preview available - 2017 |
A Treatise of Plane Trigonometry: To Which Is Prefixed, a Summary View of ... Jeremiah Day No preview available - 2018 |
A Treatise of Plane Trigonometry: To Which Is Prefixed a Summary View of the ... Jeremiah Day No preview available - 2018 |
Common terms and phrases
ABC Fig ABCD altitude axis base breadth bung diameter calculation cask circle circular sector circular segment circumference column cosecant cosine cotangent course cube cubic decimal departure Diff difference of latitude difference of longitude distance divided earth equal to half equator figure find the area find the SOLIDITY frustum given sides gles greater hypothenuse inches inscribed lateral surface length less logarithm longitude measured Mercator's meridian meridional difference middle diameter miles multiply the sum number of degrees number of sides oblique parallelogram parallelopiped perpendicular perpendicular height plane sailing prism PROBLEM proportion pyramid quadrant quantity quotient radius ratio regular polygon right angled triangle right cylinder rods rule secant sector segment ship sine sines and cosines slant-height sphere spherical subtract tables tangent term theorem trapezium triangle ABC Trig trigonometry wine gallons zone
Popular passages
Page 81 - 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.
Page 43 - A cone is a solid figure described by the revolution of a right angled triangle about one of the sides containing the right angle, which side remains fixed.
Page 50 - The surface of a sphere is equal to the product of its diameter by the circumference of a great circle.
Page 55 - ... the square of the hypothenuse is equal to the sum of the squares of the other two sides.
Page 69 - It will be sufficient to lay the edge of a rule on C, so as to be parallel to a line supposed to pass through B and D, and to mark the point of intersection G. 126. If after a field has been surveyed, and the area computed, the chain is found to be too long or too short ; the true contents may be found, upon the principle that similar figures are to each other as the squares of their homologous sides.
Page 118 - The sum of any two sides of a triangle is to their difference, as the tangent of half the sum of the angles opposite to those sides, to the tangent of half their difference.
Page 89 - Divide the height of the segment by the diameter of the circle ; look for the quotient in the column of heights in the table ; take out the corresponding number in the column of areas ; and multiply it by the square of the diameter.