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 vii
... signs of the roots 212 227 To multiply or divide the roots 213 227 To form an equation from given roots Expression for the transformed equation 214 228 Equations with equal roots ...... 216 228 Imaginary roots are in pairs . 217 228 ...
... signs of the roots 212 227 To multiply or divide the roots 213 227 To form an equation from given roots Expression for the transformed equation 214 228 Equations with equal roots ...... 216 228 Imaginary roots are in pairs . 217 228 ...
Page 103
... signs + and + or - and , are said to have like signs ; and those affected with and + , or + and - , are said to have unlike signs . - It is manifest from the nature of addition and subtraction , that the disposition of the quantities as ...
... signs + and + or - and , are said to have like signs ; and those affected with and + , or + and - , are said to have unlike signs . - It is manifest from the nature of addition and subtraction , that the disposition of the quantities as ...
Page 103
... signs + and + or - and , are said to have like signs ; and those affected with and + , or + and - , are said to have unlike signs . - -- It is manifest from the nature of addition and subtraction , that the disposition of the quantities ...
... signs + and + or - and , are said to have like signs ; and those affected with and + , or + and - , are said to have unlike signs . - -- It is manifest from the nature of addition and subtraction , that the disposition of the quantities ...
Page 112
... signs , and incorporating or uniting into one term or sum , such as are similar , and can be united . As 3a + 2b ... signs : ( 2. ) When the quantities are like , and have unlike signs : ( 3. ) When the quantities are unlike * . CASE I ...
... signs , and incorporating or uniting into one term or sum , such as are similar , and can be united . As 3a + 2b ... signs : ( 2. ) When the quantities are like , and have unlike signs : ( 3. ) When the quantities are unlike * . CASE I ...
Page 113
... signs . ADD all the affirmative coefficients into one sum , and all the negative ones into another , when there are several of a kind : then subtract the less sum , or the less coefficient , from the greater , and to the remainder ...
... signs . ADD all the affirmative coefficients into one sum , and all the negative ones into another , when there are several of a kind : then subtract the less sum , or the less coefficient , from the greater , and to the remainder ...
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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