A Course of Mathematics: Composed for the Use of the Royal Military AcademyWilliam Tegg, 1860 - 895 sider |
Inni boken
Resultat 1-5 av 6
Side 441
... frustum EGNP is equal to the difference between the cylinder EGLO and the cone IMQ , all of the same common height IK . And that the spherical segment PFN is equal to the difference between the cylinder ABLO and the conic frustum AQMB ...
... frustum EGNP is equal to the difference between the cylinder EGLO and the cone IMQ , all of the same common height IK . And that the spherical segment PFN is equal to the difference between the cylinder ABLO and the conic frustum AQMB ...
Side 521
... frustum of a pyramid or cone ; being the lower part , when the top is cut off by a plane parallel to the base . Add together the perimeters of the two ends , and multiply their sum by the slant height , taking half the product for the ...
... frustum of a pyramid or cone ; being the lower part , when the top is cut off by a plane parallel to the base . Add together the perimeters of the two ends , and multiply their sum by the slant height , taking half the product for the ...
Side 522
... frustum of a cone or pyramid . Add into one sum , the areas of the two ends , and the mean proportional be- tween them , or the square root of their product ; and of that sum will be a mean area ; which , being multiplied by the ...
... frustum of a cone or pyramid . Add into one sum , the areas of the two ends , and the mean proportional be- tween them , or the square root of their product ; and of that sum will be a mean area ; which , being multiplied by the ...
Side 801
... frustum height of whole cone ; r radius of base of frustum ; a2 + r = c " ; b = height of top cone ; r ' radius of top of frustum ; b2 + r = c2 ; and . taking the vertex as the origin of co - ordinates , we have equation of the line ...
... frustum height of whole cone ; r radius of base of frustum ; a2 + r = c " ; b = height of top cone ; r ' radius of top of frustum ; b2 + r = c2 ; and . taking the vertex as the origin of co - ordinates , we have equation of the line ...
Side 830
... frustum of a cone from the greater end ; hence , if R , r represent the radii of the greater and less ends of the frustum , and h its altitude , we have the distance R2 + 2Rr + 3r2 . ; and when r = 0 , we have R2 + Rr + 2 h 1 h 4 of the ...
... frustum of a cone from the greater end ; hence , if R , r represent the radii of the greater and less ends of the frustum , and h its altitude , we have the distance R2 + 2Rr + 3r2 . ; and when r = 0 , we have R2 + Rr + 2 h 1 h 4 of the ...
Innhold
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Vanlige uttrykk og setninger
algebraic algebraic quantities axis binomial Binomial Theorem bisected centre circle circumference coefficient Completing the square contained Corol cosec cube root decimal degree denote diameter difference distance Divide dividend division divisor draw equal Example exponent expression extract factors feet figure fraction gives greater greatest common measure Hence inches least common multiple letters logarithm manner monomial multiplied negative nth root number of terms parallel parallelogram perfect square perpendicular plane polynomial positive Prob problem Prop proportional proposed equation quadratic quotient radical radius ratio rectangle reduce remainder result right angles rule second term sides sine square root straight line Substituting subtract tangent THEOREM triangle ABC unknown quantity VULGAR FRACTIONS Whence whole number yards
Populære avsnitt
Side 332 - EC, have also the same altitude ; and because triangles of the same altitude are to each other as their bases, therefore the triangle ADE : BDE : : AD : DB, and triangle ADE : CDE : : AE : EC.
Side 352 - angle in a segment' is the angle contained by two straight lines drawn from any point in the circumference of the segment, to the extremities of the straight line which is the base of the segment.
Side 326 - Proportion, when the ratio is the same between every two adjacent terms, viz. when the first is to the second, as the second to the third, as the third to the fourth, as the fourth to the fifth, and so on, all in the same common ratio.
Side 17 - OF TIME. 60 Seconds = 1 Minute. 60 Minutes = 1 Hour. 24 Hours = 1 Day. 7 Days = 1 Week. 28 Days = 1 Lunar Month.
Side 338 - CD. conseconsequently the whole polygon, or all the triangles added together which compose it, is equal to the- rectangle of the common altitude CD, and the halves of all the sides, or the half perimeter of the polygon. Now, conceive the number of sides of the polygon to be indefinitely increased ; then will its perimeter coincide with the circumference of the circle, and consequently the altitude CD will become equal to the radius, and the whole polygon equal to the circle. Consequently the space...
Side 297 - The Height or Altitude of a figure is a perpendicular let fall from an angle, or its vertex, to the opposite side, called the base.
Side 26 - Multiply the number in the lowest denomination by the multiplier, and find how many units of the next higher denomination are contained in the product, setting down ,what remains.
Side 62 - From these theorems may readily be found any one of these five parts ; the two extremes, the number of terms, the common difference, and the sum of all the terms, when any three of them are given, as in the following Problems : PROBLEM I.
Side 326 - Proportional, when the ratio of the first to the second, is equal to the ratio of the second to the third.
Side 62 - SUBTRACT the less extreme from the greater, and divide the difference by 1 more than the number of means required to be found...