A Course of Mathematics: In Two Volumes. Composed for the Use of the Royal Military Academy, Volume 1Longman, Orme & Company, 1841 - Mathematics |
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Page vii
... ARITHMETIC . Notation and numeration PAGES 3 Division PAGES 123 125 by ... progression .... Multiplication 55 51 Division 57 53 Reduction 59 54 Rule of ... progression 76 80 neous Geometrical progression 79 82 Harmonical progression 82 85 ...
... ARITHMETIC . Notation and numeration PAGES 3 Division PAGES 123 125 by ... progression .... Multiplication 55 51 Division 57 53 Reduction 59 54 Rule of ... progression 76 80 neous Geometrical progression 79 82 Harmonical progression 82 85 ...
Page 50
... value to each of the original fractions . This proposition will be found useful in the doctrine of proportions . 2. To add and together . 3 + 3 = 50 ARITHMETIC . Addition 54 Progressions Subtraction 55 Arithmetical progression.
... value to each of the original fractions . This proposition will be found useful in the doctrine of proportions . 2. To add and together . 3 + 3 = 50 ARITHMETIC . Addition 54 Progressions Subtraction 55 Arithmetical progression.
Page 76
... progression . So , 2 , 4 , 6 , 8 , form an arithmetical progression , because 4 ā 2 = 6 ā4 = 86 = 2 , all the same common difference ; and 2 , 4 , 8 , 16 , a ... ARITHMETIC . Arithmetical progression 76 neous Geometrical progression 79.
... progression . So , 2 , 4 , 6 , 8 , form an arithmetical progression , because 4 ā 2 = 6 ā4 = 86 = 2 , all the same common difference ; and 2 , 4 , 8 , 16 , a ... ARITHMETIC . Arithmetical progression 76 neous Geometrical progression 79.
Page 78
... series ? Ans . , the common difference is 3 , and the sum is 840 . 3. A certain debt can be discharged in one year , by weekly payments in arith- metical progression , the first payment being 1s , and the last 5l 3s ; what is the common ...
... series ? Ans . , the common difference is 3 , and the sum is 840 . 3. A certain debt can be discharged in one year , by weekly payments in arith- metical progression , the first payment being 1s , and the last 5l 3s ; what is the common ...
Page 80
... said power of the ratio , whose index is 1 less than the number of terms , THEOREM X. The sum of all the terms , of any geometrical progression , is found by adding the greatest term to the difference of 80 ARITHMETIC .
... said power of the ratio , whose index is 1 less than the number of terms , THEOREM X. The sum of all the terms , of any geometrical progression , is found by adding the greatest term to the difference of 80 ARITHMETIC .
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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 uā vulgar fraction Whence