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 viii
... cone , cylinder , and sphere 487 427 Problems on surfaces and volumes .. 489 ...... Land surveying 492 432 Bricklayers ' work 510 455 THEORETICAL GEOMETRY . Masons ' 512 456 Carpenters ' 512 457 Definitions in plane geometry . 290 286 ...
... cone , cylinder , and sphere 487 427 Problems on surfaces and volumes .. 489 ...... Land surveying 492 432 Bricklayers ' work 510 455 THEORETICAL GEOMETRY . Masons ' 512 456 Carpenters ' 512 457 Definitions in plane geometry . 290 286 ...
Page 21
... cone , to a height above the rim of the mea- sure of at least of its depth . The outside diameter of Measures used for heaped goods are to be at least double the depth ; consequently , not less than the following dimensions : - Bushel ...
... cone , to a height above the rim of the mea- sure of at least of its depth . The outside diameter of Measures used for heaped goods are to be at least double the depth ; consequently , not less than the following dimensions : - Bushel ...
Page 289
... pages 162 VOL . I. U GEOMETRY . DEFINITIONS AND PRINCIPLES . 1. GEOMETRY treats of THE METHOD OF FINITE DIFFERENCES . 289 Scholium on piles of balls The cone, cylinder, and sphere 487 427 Problems on surfaces and volumes 489.
... pages 162 VOL . I. U GEOMETRY . DEFINITIONS AND PRINCIPLES . 1. GEOMETRY treats of THE METHOD OF FINITE DIFFERENCES . 289 Scholium on piles of balls The cone, cylinder, and sphere 487 427 Problems on surfaces and volumes 489.
Page 348
... cone is the right line joining the vertex , or fixed point , and the centre of the circle about which the figure is described . When the axis of the cone is at right angles to its base , the cone is said to be a right , and when oblique ...
... cone is the right line joining the vertex , or fixed point , and the centre of the circle about which the figure is described . When the axis of the cone is at right angles to its base , the cone is said to be a right , and when oblique ...
Page 357
... cone , any section parallel to the base is a circle ; and this section is to the base , as the squares of their distances from the vertex . LET ABCD be a cone , and GHI a section parallel to the base BCD ; then will GHI be a circle ...
... cone , any section parallel to the base is a circle ; and this section is to the base , as the squares of their distances from the vertex . LET ABCD be a cone , and GHI a section parallel to the base BCD ; then will GHI be a circle ...
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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 u₁ vulgar fraction Whence