A Course of Mathematics: In Two Volumes. For the Use of the Royal Military Academy, Volume 1Gilberte and Rivington, 1841 - Mathematics |
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Page 80
... applying the proposition in note 2 , Addition of Vulgar Fractions , to the terms of a proportion , such as 30 : 6 :: 15 : 3 , or 30 = 15 3 , we shall have 15 = Hence 6 +3 6 3 30 + 15 15 30 + 15 30 = and 6 +3 3 ― - THEOREM IV . The sum ...
... applying the proposition in note 2 , Addition of Vulgar Fractions , to the terms of a proportion , such as 30 : 6 :: 15 : 3 , or 30 = 15 3 , we shall have 15 = Hence 6 +3 6 3 30 + 15 15 30 + 15 30 = and 6 +3 3 ― - THEOREM IV . The sum ...
Page 107
... applied to any combination of algebraical quantities . The term residual was formerly applied to that form of the binomial expression when they were connected by the sign— , as a — b , a2 — y2 . The distinction is now , however , fallen ...
... applied to any combination of algebraical quantities . The term residual was formerly applied to that form of the binomial expression when they were connected by the sign— , as a — b , a2 — y2 . The distinction is now , however , fallen ...
Page 146
... applied to the solution of algebraical equations , were made by the late Mr. Horner , and published in the Annals of Philosophy and Quarterly Journal . The second notation above given was proposed by Sir John Herschel , and for economy ...
... applied to the solution of algebraical equations , were made by the late Mr. Horner , and published in the Annals of Philosophy and Quarterly Journal . The second notation above given was proposed by Sir John Herschel , and for economy ...
Page 147
... applying to one individual root in each single case : since , besides these , there may be several other roots , ' wholly imaginary ; and in all instances above the square root there actually are such roots . This view of the subject ...
... applying to one individual root in each single case : since , besides these , there may be several other roots , ' wholly imaginary ; and in all instances above the square root there actually are such roots . This view of the subject ...
Page 148
... * The rule cannot be applied except the first term is of a power exactly divisible by the index of the root ; that is , for the nth root we must have the first term amn where m is an integer . ( 1 ) a2 a1 - at ( 0 ) 148 ALGEBRA .
... * The rule cannot be applied except the first term is of a power exactly divisible by the index of the root ; that is , for the nth root we must have the first term amn where m is an integer . ( 1 ) a2 a1 - at ( 0 ) 148 ALGEBRA .
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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