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 i
... CONTINUED AND AMENDED BY OLINTHUS GREGORY , LL.D. F.R.A.S. VOL . I. TWELFTH EDITION , WITH CONSIDERABLE ALTERATIONS AND ADDITIONS , BY THOMAS STEPHENS DAVIES , F.R.S. L. & E. F.S.A. ROYAL MILITARY ACADEMY . LONDON : LONGMAN , ORME ...
... CONTINUED AND AMENDED BY OLINTHUS GREGORY , LL.D. F.R.A.S. VOL . I. TWELFTH EDITION , WITH CONSIDERABLE ALTERATIONS AND ADDITIONS , BY THOMAS STEPHENS DAVIES , F.R.S. L. & E. F.S.A. ROYAL MILITARY ACADEMY . LONDON : LONGMAN , ORME ...
Page iii
... continued to improve the succes- sive editions , as new discoveries were made or new methods invented . At the close of his long , laborious , and useful life , he committed the work to the care of Dr. Gregory , who , by continual ...
... continued to improve the succes- sive editions , as new discoveries were made or new methods invented . At the close of his long , laborious , and useful life , he committed the work to the care of Dr. Gregory , who , by continual ...
Page vii
... Continued fractions ... 145 Vulgar fractions 41 39 Involution and evolution 147 141 Reduction 42 40 Powers and roots of mono- Addition Subtraction ... 50 46 mials 147 141 51 47 Square root of compound Multiplication 51 48 expressions ...
... Continued fractions ... 145 Vulgar fractions 41 39 Involution and evolution 147 141 Reduction 42 40 Powers and roots of mono- Addition Subtraction ... 50 46 mials 147 141 51 47 Square root of compound Multiplication 51 48 expressions ...
Page 47
... continued pro- duct of the divisors , quotients , and undivided numbers , will give the multiple required . Example EXAMPLES . 1. Reduce ,, and , to a common REDUCTION OF VULGAR FRACTIONS . 47 Table of Officers' 27 Least common multiple.
... continued pro- duct of the divisors , quotients , and undivided numbers , will give the multiple required . Example EXAMPLES . 1. Reduce ,, and , to a common REDUCTION OF VULGAR FRACTIONS . 47 Table of Officers' 27 Least common multiple.
Page 52
... continued product of 3 , 3 , 5 , and of 3 . 3 13 x 3 Here Z X X X X = Z 13 B 4 1 3. Required the product of 4. Required the product of 4 $ and § . 4 and . 13 2 39 = = 47 , Answer . 8 4 X 2 of 9 . of 5 . 5. Required the product of ,, and ...
... continued product of 3 , 3 , 5 , and of 3 . 3 13 x 3 Here Z X X X X = Z 13 B 4 1 3. Required the product of 4. Required the product of 4 $ and § . 4 and . 13 2 39 = = 47 , Answer . 8 4 X 2 of 9 . of 5 . 5. Required the product of ,, and ...
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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