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 73
... obtain its sixth and its ninth roots to six and to four places of decimals respectively . Ex . 10. Find the square of ... obtained . * This rule is a modification and extension of Dr. Halley's , and was first given in its present . form ...
... obtain its sixth and its ninth roots to six and to four places of decimals respectively . Ex . 10. Find the square of ... obtained . * This rule is a modification and extension of Dr. Halley's , and was first given in its present . form ...
Page 90
... obtained . The three simplest that can be taken are those upon which the rule above given is founded , viz . x = d , y = c , z = b , v = a ; or x = c , y = d , z = a , v = b . [ The the rate with which they are linked . 4. Then 90 ...
... obtained . The three simplest that can be taken are those upon which the rule above given is founded , viz . x = d , y = c , z = b , v = a ; or x = c , y = d , z = a , v = b . [ The the rate with which they are linked . 4. Then 90 ...
Page 94
... obtained by single position : and when it involves two propositions , one of which cannot be mentally eliminated , we must have recourse to double position . When the conditions lead to a quadratic or higher equation , the condition ...
... obtained by single position : and when it involves two propositions , one of which cannot be mentally eliminated , we must have recourse to double position . When the conditions lead to a quadratic or higher equation , the condition ...
Page 99
... obtain commis- One thoughtlessly spends 101 a QUEST . 40. Two young gentlemen , without sions at the same time , and at the age of 18 . year more than his pay ; but , shocked at the idea of not paying his debts , gives his creditor a ...
... obtain commis- One thoughtlessly spends 101 a QUEST . 40. Two young gentlemen , without sions at the same time , and at the age of 18 . year more than his pay ; but , shocked at the idea of not paying his debts , gives his creditor a ...
Page 72
... Ex . 6. Extract the cube root of 3 to six places ; and also the cube root of 6 : and show how the cube root of 2 , of 12 , and of 18 , may be obtained from these . Ex . 7. Find how many more figures are required 72 ARITHMETIC .
... Ex . 6. Extract the cube root of 3 to six places ; and also the cube root of 6 : and show how the cube root of 2 , of 12 , and of 18 , may be obtained from these . Ex . 7. Find how many more figures are required 72 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 u₁ vulgar fraction Whence