A Course of Mathematics: Composed for the Use of the Royal Military Academy |
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Page 6
... Equation to a straight line . Discussion of equation to straig line • Problems connected with the equ Exercises in Plane Geometry Geometry of Planes Solid Angles Solid Geometry Spherical Geometry Parabola Ellipse · Hyperbola • 357 362 ...
... Equation to a straight line . Discussion of equation to straig line • Problems connected with the equ Exercises in Plane Geometry Geometry of Planes Solid Angles Solid Geometry Spherical Geometry Parabola Ellipse · Hyperbola • 357 362 ...
Page 169
... equation ( 1 ) , and a binomial surd of the form Va + b will be rationalized by employing n terms of the second side of equation ( 2 ) or ( 3 ) , according as n is even or odd , the product in the former case being a - b , and in the ...
... equation ( 1 ) , and a binomial surd of the form Va + b will be rationalized by employing n terms of the second side of equation ( 2 ) or ( 3 ) , according as n is even or odd , the product in the former case being a - b , and in the ...
Page 196
Composed for the Use of the Royal Military Academy Charles Hutton. ON EQUATIONS . PRELIMINARY REMARKS . 134. AN equation , in the most general acceptation of the term , signifies two alge braic expressions which are equal to each other ...
Composed for the Use of the Royal Military Academy Charles Hutton. ON EQUATIONS . PRELIMINARY REMARKS . 134. AN equation , in the most general acceptation of the term , signifies two alge braic expressions which are equal to each other ...
Page 197
... equations of the fifth , sixth , . nth degree . Thus , ax + b = cx + d 4x2 2x = 5 3 -- 2 x2 + pr2 = 2 q X 2 x2 + p x ^ ~ 1 + q xa¬2 + , & c . = r , is a simple equation . is a quadratic equation . is a cubic equation . is an equation of ...
... equations of the fifth , sixth , . nth degree . Thus , ax + b = cx + d 4x2 2x = 5 3 -- 2 x2 + pr2 = 2 q X 2 x2 + p x ^ ~ 1 + q xa¬2 + , & c . = r , is a simple equation . is a quadratic equation . is a cubic equation . is an equation of ...
Page 198
... equation , x + 6 = 24 Subtracting 6 from each of the equal quantities x + 6 and 24 , the result is , x = 24-6 = 18 , II . Let the equation be , the value of x required . x — a — b = If , to the two equal quantities x —a and b , the same ...
... equation , x + 6 = 24 Subtracting 6 from each of the equal quantities x + 6 and 24 , the result is , x = 24-6 = 18 , II . Let the equation be , the value of x required . x — a — b = If , to the two equal quantities x —a and b , the same ...
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Other editions - View all
A Course of Mathematics: Composed for the Use of the Royal Military Academy ... Charles Hutton No preview available - 2015 |
A Course of Mathematics: Composed for the Use of the Royal Military Academy ... Charles Hutton No preview available - 2015 |
Common terms and phrases
algebraic axis bisected called centre ciphers circle circumference coefficients contained Corol cosec cosine cube root curve decimal denominator denotes diameter difference differential co-efficient distance Divide dividend division divisor draw equal EXAMPLES exponent expression extract factors feet figure fraction given number greatest common measure Hence hyperbola inches latus rectum least common multiple logarithm manner monomial multiplied nth root number of terms parallel parallelogram perpendicular plane polynomial positive Prob PROBLEM Prop proportional proposed equation quotient radius ratio rectangle Reduce remainder right angles rule sides sine square root straight line Substituting subtract tangent Taylor's theorem THEOREM triangle ABC unknown quantity VULGAR FRACTIONS whole number yards
Popular passages
Page 338 - 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.
Page 354 - 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.
Page 332 - 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.
Page 17 - OF TIME. 60 Seconds = 1 Minute. 60 Minutes = 1 Hour. 24 Hours = 1 Day. 7 Days = 1 Week. 28 Days = 1 Lunar Month.
Page 344 - 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...
Page 303 - 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.
Page 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.
Page 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.
Page 332 - Proportional, when the ratio of the first to the second, is equal to the ratio of the second to the third.
Page 62 - SUBTRACT the less extreme from the greater, and divide the difference by 1 more than the number of means required to be found...