A Course of Mathematics: In Two Volumes. Composed for the Use of the Royal Military Academy, Volume 1Longman, Orme & Company, 1841 - Mathematics |
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Page 487
... frustum of a cone whose bounding sections have a and b for radii , and their distance reckoned along the side of the ... frustum . ac Again , vol frustum BDGE c + h = or c = b > bh a - b ah and c + h = a - b ( c + h ) ā 1/1 b3 c b2c 1 ...
... frustum of a cone whose bounding sections have a and b for radii , and their distance reckoned along the side of the ... frustum . ac Again , vol frustum BDGE c + h = or c = b > bh a - b ah and c + h = a - b ( c + h ) ā 1/1 b3 c b2c 1 ...
Page 488
... frustum of a cone whose side is OQ , and whose two ends are OO ' and QQ ' , and is expressed by OQ { OO ' + QQ ' } . Also ultimately OO ' is equal to QQ ' , and hence the spherical zone is ultimately expressed by OQ.00 ' : whence also ...
... frustum of a cone whose side is OQ , and whose two ends are OO ' and QQ ' , and is expressed by OQ { OO ' + QQ ' } . Also ultimately OO ' is equal to QQ ' , and hence the spherical zone is ultimately expressed by OQ.00 ' : whence also ...
Page 490
... frustum of a pyramid or cone . No. 6 Cor . p . 487 . 1. How many square feet are in the surface of the frustum of a square pyra- mid , whose slant height is 10ft ; also each side of the base or greater end being 3ft 4in , and each side ...
... frustum of a pyramid or cone . No. 6 Cor . p . 487 . 1. How many square feet are in the surface of the frustum of a square pyra- mid , whose slant height is 10ft ; also each side of the base or greater end being 3ft 4in , and each side ...
Page 491
... frustum , whose height is 5ft , each side of the base 18in ; and each side of the top or less end 6 in . Ans . 9 : 31925ft . 3. Find the content of a conic frustum , the altitude being 18 , the greatest diameter 8 , and the least ...
... frustum , whose height is 5ft , each side of the base 18in ; and each side of the top or less end 6 in . Ans . 9 : 31925ft . 3. Find the content of a conic frustum , the altitude being 18 , the greatest diameter 8 , and the least ...
Page 521
... frustum of a marble cone come to at 12s per ft ; the dia- meter of the greater end being 4ft , that of the less end 11ft , and the length of the slant side 8ft ? Ans . 301 1s 101d . 42. Divide a cone into three equal parts by sections ...
... frustum of a marble cone come to at 12s per ft ; the dia- meter of the greater end being 4ft , that of the less end 11ft , and the length of the slant side 8ft ? Ans . 301 1s 101d . 42. Divide a cone into three equal parts by sections ...
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Common terms and phrases
ABCD algebraic altitude arithmetical arithmetical progression base bisect breadth centre chord circle circumference coefficients common cone cosec cube root decimal denominator denoted diagonal diameter difference dihedral angle distance divided divisor draw drawn equal equation equiangular EXAMPLES expression figure fraction frustum geometrical given line greater hence inscribed integer intersection join length less lineation logarithms mantissa measure meeting method multiplied parallel parallel ruler parallelogram perpendicular plane polygon prism PROBLEM proportional quantity quotient radii radius ratio rectangle Reduce right angles rule Scholium segment sides sine solid angle solution square root straight line subtraction tangent THEOREM third trapezium triangle ABC uā vulgar fraction Whence