This historic book may have numerous typos and missing text.
Purchasers can download a free scanned copy of the original book
(without typos) from the publisher. Not indexed. Not illustrated.
1817 Excerpt: ...for the square-root is given in the Chapter on
Algebra, in the Sidd'hdnta-sundara of Jnya'na-ra'ja, cited by his
son Su'rtada'sa; "The root of a near square, with the quotient of
the proposed square divided by that approximate root, being halved,
the moiety is a more nearly approximated root; and, repeating the
operation as often as necessary, the nearly exact root is found."
Example 5. This, divided by two which is first put for the root,
give 4 for the quotient: which added to the assumed root 2, makes;
and this, divided by 2, yields for the approximate root.--Su'r.
Repeating the operation, the root, more nearly approximated, isW.3
CHAPTER II. PULVERIZER? 53--64. Rule: In the first place, as
preparatory to the investigation of the pulverizer, the dividend,
divisor, and additive quantity are, if practicable, to be reduced
by some number.' If the number, by which the dividend and divisor
are both measured, do not also measure the additive quantity, the
question is an ill put or impossible one.4 54--55--56. The last
remainder, when the dividend and divisor are mutually divided, is
their common measure.5 Being divided by that common measure, they
are termed reduced quantities. Divide mutually the reduced dividend
and divisor, until unity be the remainder in the dividend. Place
the quotients one under the other; and the additive quantity
beneath them, and cipher at the bottom. By the penult multiply the
number next above it, and add the lowest term. Then reject the last
and repeat the operation until a pair of numbers be left. The
uppermost of these being abraded by the reduced dividend, the
remainder is the quotient. The other or lowermost being in like
manner abraded by the reduced divisor, the remainder is the
multiplier.1 This is nearly wo...
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