A Course of Mathematics: In Two Volumes. For the Use of the Royal Military Academy, Volume 1Gilberte and Rivington, 1841 - Mathematics |
From inside the book
Results 6-10 of 54
Page 114
... signs . EXAMPLES . 2 . бух 12x2 4x2 + 3xу 3xy + 4x2 4xy- 8x2 14ax 2x2 5ax + 3xy 8y2 . 4αx 7 . 8 . 4yx2 4 √x - 3y -. 5 . + 4ab + 4 - · 4ab + 12 - 6 . 3ax + a√x - + 7ab - 14 + 5ax + 4√ax + ab + 3 + 6ax + 12 a2x - 5ab 7 . + 10√α × √x 3 ...
... signs . EXAMPLES . 2 . бух 12x2 4x2 + 3xу 3xy + 4x2 4xy- 8x2 14ax 2x2 5ax + 3xy 8y2 . 4αx 7 . 8 . 4yx2 4 √x - 3y -. 5 . + 4ab + 4 - · 4ab + 12 - 6 . 3ax + a√x - + 7ab - 14 + 5ax + 4√ax + ab + 3 + 6ax + 12 a2x - 5ab 7 . + 10√α × √x 3 ...
Page 115
... to be made ; and underneath them place all the other quantities composing the sub- trahend ; ranging the like quantities under each other , as in addition . Then change all the signs ( + and - ) I 2 SUBTRACTION . 115.
... to be made ; and underneath them place all the other quantities composing the sub- trahend ; ranging the like quantities under each other , as in addition . Then change all the signs ( + and - ) I 2 SUBTRACTION . 115.
Page 116
... signs ( + and - ) of the lower line , or conceive them to be changed ; after which , collect all the terms together as in the cases of addition * . Note . When the sign is prefixed to a compound expression , it indicates that if the ...
... signs ( + and - ) of the lower line , or conceive them to be changed ; after which , collect all the terms together as in the cases of addition * . Note . When the sign is prefixed to a compound expression , it indicates that if the ...
Page 117
... signs , in the factors , produce + , and unlike signs — , in the products . * That this rule for the signs is true , may be thus shown . 1. When a is to be multiplied by + c ; the meaning is , that a is to be taken as many times as ...
... signs , in the factors , produce + , and unlike signs — , in the products . * That this rule for the signs is true , may be thus shown . 1. When a is to be multiplied by + c ; the meaning is , that a is to be taken as many times as ...
Page 118
... signs being regulated by the number of factors when those factors are — . This is a case of INVOLUTION . - - a as many is to be multiplied by + c , or + c by a this is the same thing as taking times as there are units in + c ; and as ...
... signs being regulated by the number of factors when those factors are — . This is a case of INVOLUTION . - - a as many is to be multiplied by + c , or + c by a this is the same thing as taking times as there are units in + c ; and as ...
Other editions - View all
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