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algebraic altitude axis base bisected body breadth chord circle circumference co-ordinates coefficient contained Corol cosec cosine cube cube root curve decimal denominator denote determine diameter difference differential co-efficient distance Divide dividend divisor draw drawn equal Example expression feet figure force formula fraction frustum function given greater greatest common measure Hence hyperbola inches integral latus rectum least common multiple length logarithm manner monomial multiplied negative number of terms opposite parabola parallel parallelogram perpendicular polynomial positive problem Prop proportional proposed equation quotient radius ratio rectangle reduced remainder right angles sides similar triangles sine specific gravity square root straight line substitute subtract tangent Taylor's theorem THEOREM triangle ABC unknown quantity velocity VULGAR FRACTIONS weight whole number yards
Σελίδα 394 - 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.
Σελίδα 388 - 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.
Σελίδα 25 - OF TIME. 60 Seconds = 1 Minute. 60 Minutes = 1 Hour. 24 Hours = 1 Day. 7 Days = 1 Week. 28 Days = 1 Lunar Month.
Σελίδα 400 - 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...
Σελίδα 359 - 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.
Σελίδα 34 - 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.
Σελίδα 71 - 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.
Σελίδα 388 - Proportional, when the ratio of the first to the second, is equal to the ratio of the second to the third.