Elements of Algebra |
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... Subtraction , Multiplication , and Divi- sion , he shall be invited to consider the nature of an Equation , and to apply his knowledge , however small , to the solution of a Problem . Again , when he has become conversant with Al ...
... Subtraction , Multiplication , and Divi- sion , he shall be invited to consider the nature of an Equation , and to apply his knowledge , however small , to the solution of a Problem . Again , when he has become conversant with Al ...
Page 1
... Subtraction ; thus b above c , just as 5 — 2 When it is not known which of two quantities , as and y , is the greater , their difference is expressed thus , x ~ ༤༡ . x or for Multiplication , thus 2 c × 3 d · = the product of twice c ...
... Subtraction ; thus b above c , just as 5 — 2 When it is not known which of two quantities , as and y , is the greater , their difference is expressed thus , x ~ ༤༡ . x or for Multiplication , thus 2 c × 3 d · = the product of twice c ...
Page 4
... - 3xy + 2y2 4x2 + xy + y2 3x2 + xy - 5 y2 - xy- Qy2 Here x3x2 - 4x2 = 4x2 - 4x2 = 0 1xy + 1xy - 3xy = 2xy - 3xy = 1xy 2y2 + 1y5y3y2 - 5y = -2y2 .. the whole sum is - - - xy — Qy2 . 1 ADDITION AND SUBTRACTION . 5 4 Add together 2a.
... - 3xy + 2y2 4x2 + xy + y2 3x2 + xy - 5 y2 - xy- Qy2 Here x3x2 - 4x2 = 4x2 - 4x2 = 0 1xy + 1xy - 3xy = 2xy - 3xy = 1xy 2y2 + 1y5y3y2 - 5y = -2y2 .. the whole sum is - - - xy — Qy2 . 1 ADDITION AND SUBTRACTION . 5 4 Add together 2a.
Page 5
... subtracted be previously changed : thus , B's money -2x 1st day . A's money 3x 2nd day . 3x 3rd day . 4th day . 5th day . 3x 3x 3x - 1x 0x 1x 2x Sum 1x 2x 3 t 4 x 5x , & c . Imagine Hence , to subtract algebraic quantities ; Rule . the ...
... subtracted be previously changed : thus , B's money -2x 1st day . A's money 3x 2nd day . 3x 3rd day . 4th day . 5th day . 3x 3x 3x - 1x 0x 1x 2x Sum 1x 2x 3 t 4 x 5x , & c . Imagine Hence , to subtract algebraic quantities ; Rule . the ...
Page 6
... subtract 5 mx2 4nx + Here we say - = - -3 m x2 + 2 m x2 - 5 m x2 — nữ + 4n = + 3n - — 3m x2 + 3n x —- 4py + r - q Ans . -3py -1py = -4py and + r - q = + r - q . 3. From 6a + 2b- ( 3a + b ) subtract 2a + 4b- ( 4a - b ) . 6a + 2b - 3a - b ...
... subtract 5 mx2 4nx + Here we say - = - -3 m x2 + 2 m x2 - 5 m x2 — nữ + 4n = + 3n - — 3m x2 + 3n x —- 4py + r - q Ans . -3py -1py = -4py and + r - q = + r - q . 3. From 6a + 2b- ( 3a + b ) subtract 2a + 4b- ( 4a - b ) . 6a + 2b - 3a - b ...
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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