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 101
... equation in art 2. the letters a , b , c , d , and for the yet unknown number , that is , the answer sought ... Equations " in the present volume . 6. The investigation of such rules for calculation is one INTRODUCTION . 101.
... equation in art 2. the letters a , b , c , d , and for the yet unknown number , that is , the answer sought ... Equations " in the present volume . 6. The investigation of such rules for calculation is one INTRODUCTION . 101.
Page 94
... equation . When it is by means of one equation , and one unknown , the solution can be obtained by single position : and when it involves two propositions , one of which cannot be mentally eliminated , we must have recourse to double ...
... equation . When it is by means of one equation , and one unknown , the solution can be obtained by single position : and when it involves two propositions , one of which cannot be mentally eliminated , we must have recourse to double ...
Page 104
... equation , and the quantities which stand to the left of the symbol are said to constitute the first side of the equation , and in like manner those which stand on the other constitute the second side of the equation . Thus ax + b = cxx ...
... equation , and the quantities which stand to the left of the symbol are said to constitute the first side of the equation , and in like manner those which stand on the other constitute the second side of the equation . Thus ax + b = cxx ...
Page 108
... equation , a trinomial equation , or a polynomial equation . Sometimes the word equation is understood , and the terms binome or binomial , trinome or trinomial , polynome or polynomial , are used instead of the compound phrase . 14 ...
... equation , a trinomial equation , or a polynomial equation . Sometimes the word equation is understood , and the terms binome or binomial , trinome or trinomial , polynome or polynomial , are used instead of the compound phrase . 14 ...
Page 134
... equation from the end , in terms of Xm + 19 and we have Xm - 2 = Qm - 2 { Qm − 1 Qm + 1 } Xm + 1 + Qm Xm + 1 Qm ... equations , and substituting these values of X and X ,, X2 = X — QX , = X , Q , - { m – nQ } Y = P1Y , X1 = X1 — Q1 X2 ...
... equation from the end , in terms of Xm + 19 and we have Xm - 2 = Qm - 2 { Qm − 1 Qm + 1 } Xm + 1 + Qm Xm + 1 Qm ... equations , and substituting these values of X and X ,, X2 = X — QX , = X , Q , - { m – nQ } Y = P1Y , X1 = X1 — Q1 X2 ...
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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