Εικόνες σελίδας
PDF
Ηλεκτρ. έκδοση

A D D I TI O N.

2 2

+

the Sum is,

ad-cb
bd

Add $ +++

+, the Sum is psyu+xquu+gstu+ qoyx

qsyu

[merged small][merged small][merged small][merged small][merged small][ocr errors][merged small][merged small][merged small][ocr errors][merged small][merged small][ocr errors][merged small][merged small][merged small][ocr errors][merged small][ocr errors][merged small][merged small][merged small][ocr errors][ocr errors][ocr errors]

stuxy

DIVISION

DIV I S I O N. Nvert your Divisor, and then x as in Multiplica

tion, and the Product will be the Quotient desired.

[ocr errors]

E X A M P L E

[ocr errors]

S

[ocr errors]

Divide

P
- by ;

; 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

S

[ocr errors]

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.

[ocr errors]

EXAMPLE.

a

aa

&c.

bb?

EVOLUTION

[blocks in formation]

N. B. If it has no Root prefix the Sign 'V ✓+, &c.

[ocr errors][merged small][merged small][merged small][merged small][ocr errors]

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

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.
7V xy

7xvac, XV aa+cc
21 4V xy

3*V ac 4xV aa+cc

[ocr errors]
[merged small][merged small][merged small][merged small][merged small][ocr errors][ocr errors][merged small][ocr errors][merged small][merged small][ocr errors][merged small]

2d. If the Surds be Heterogeneal, add or subtract according to the Signs.

[merged small][merged small][merged small][merged small][merged small][ocr errors][ocr errors][merged small][merged small][ocr errors][merged small]

MULTIPLICATION.

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.

[ocr errors]
[ocr errors][merged small][merged small][ocr errors][merged small][merged small][merged small][merged small]

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.

[ocr errors][ocr errors][merged small][merged small][merged small][ocr errors]

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.

EXAMPLES.

« ΠροηγούμενηΣυνέχεια »