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A D D I TI O N.
the Sum is,
Add $ +++
+, the Sum is psyu+xquu+gstu+ qoyx
DIV I S I O N. Nvert your Divisor, and then x as in Multiplica
tion, and the Product will be the Quotient desired.
E X A M P L E
; place it thus: Divide + uby on tü. Reduce, and Invert, and it will stand thus : bd rutst bdru+bdst
Code the true Quotient. ad+bc adsutbcsu
IN V O L U TI O N.
Nyolve the Numerator into itself for a new Nu.
merator, and the Denominator into itself for a new Denominator.
N. B. If it has no Root prefix the Sign 'V ✓+, &c.
Of SUR DS. HEY are such Numbers as can't be exactly TEX
expressed in Figures, and are called irrational Numbers,
Their Reductions were difficult, but now are almost useless; and decimal Arithmetic has rendered them more capable of exact Expression.
Addition and Subtraction. 1
F they be Homogenal, add or subtract the ra
tional Part, and to their Sum or Difference join the Surd.
A D D I I IO N.
7xvac, XV aa+cc
3*V ac 4xV aa+cc
2d. If the Surds be Heterogeneal, add or subtract according to the Signs.
F the Surds be Homogenal, take away the Sign
and it is done ; so the V xyx V xy=xy and V xx+ aax V xxtag = xx+aa.
If rational Quantities be joined to the Surds, then multiply the rational into the rational, and the Surd into the Surd, and join the Products together.
Division of Surd Quantities. TE F the Quantities are pure Surds of the same
Kind, and can be divided off, without leaving a Remainder, divide thein, and to their Quotient prefix cheir radical Sign.