Elements of Algebra |
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Page 1
... equal . + plus , for Addition ; thus , a + b = the sum of a and b , just as 3 + 5 the sum of 3 and 5 = 8 . - - c = the excess of b the excess of 5 above 2 = 3 , - minus , for Subtraction ; thus b above c , just as 5 — 2 When it is not ...
... equal . + plus , for Addition ; thus , a + b = the sum of a and b , just as 3 + 5 the sum of 3 and 5 = 8 . - - c = the excess of b the excess of 5 above 2 = 3 , - minus , for Subtraction ; thus b above c , just as 5 — 2 When it is not ...
Page 3
... equal to 9 horses . Hence , also , 10 z 12 : z = 10 % 9z , just as 10 sacks of corn diminished by a sack of corn are equal to 9 sacks of corn . - C = 4 ADDITION . Examples . 1. Add together 2a + B 2 SYMBOLS AND SIGNS . 3.
... equal to 9 horses . Hence , also , 10 z 12 : z = 10 % 9z , just as 10 sacks of corn diminished by a sack of corn are equal to 9 sacks of corn . - C = 4 ADDITION . Examples . 1. Add together 2a + B 2 SYMBOLS AND SIGNS . 3.
Page 9
... equal to the sum of their squares , together with twice their product . 2. The square of the difference of two quantities is equal to the sum of their squares , diminished by twice their product . 3. The product of the sum and ...
... equal to the sum of their squares , together with twice their product . 2. The square of the difference of two quantities is equal to the sum of their squares , diminished by twice their product . 3. The product of the sum and ...
Page 13
... equal , they form an equation ; thus 4 × 3 = 7+ 5 is an equation . Also 10 x 60 is an equation , in which the value = = - of x is evidently 6 , since 10 x 6 = 60 ; and , if both sides of the equation be divided by 10 , we shall have x ...
... equal , they form an equation ; thus 4 × 3 = 7+ 5 is an equation . Also 10 x 60 is an equation , in which the value = = - of x is evidently 6 , since 10 x 6 = 60 ; and , if both sides of the equation be divided by 10 , we shall have x ...
Page 15
... equal parts , and a of those parts to be taken , we shall then have the fraction a ō ' just as , when we divide the unit into 8 equal parts and take 5 of them , we have the fraction a 5 8 Since expresses the quotient of a by b , and ...
... equal parts , and a of those parts to be taken , we shall then have the fraction a ō ' just as , when we divide the unit into 8 equal parts and take 5 of them , we have the fraction a 5 8 Since expresses the quotient of a by b , and ...
Common terms and phrases
a²x² ALGEBRA annuity arithmetic mean arithmetic series arithmetical progression b² a² Binomial Theorem C.E. Illustrated C₁ cent cloth boards coefficients common ratio compound interest containing cube root denominator digits Divide divisor Edition ENGINEERING equal Examples expression Extract the square find the number Find the sum fraction gallons geometric mean geometrical progression given greatest common measure harmonic means harmonic series Hence J. F. HEATHER logarithms miles Multiply nth term number of combinations number of shot number of terms number of variations permutations present value Prop quadratic quotient RALPH TATE reciprocal equation remainder Rudimentary Treatise shillings side square pile square root Subtract surd things taken total number unknown quantities Woodcuts x²y
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