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.
1882 Excerpt: ...which are halves of equal things, are equal to
each other. 8. The whole is greater than any of its parts. 9. The
whole is equal to the sum of all its parts. 10. All right angles
are equal to each other. 11. From one point to another only one
straight line can be drawn. 12. A straight line is the
shortest-distance between two points. One of the most important and
practical of my discoveries, is the new alphabet of numbers, and
may be explained thus: Let ten represent the base of our system of
notation; and since ten divided by ten equals the zero power of
ten, also ten divided by ten equals one one, we have, according to
axiom first, the zero power of the base equivaleut to the first
numerical symbol. Thus, lOlOlO0. To divide, subtract the 10 power
of the divisor from And 10 1. the power of the dividend. 2d. Divide
dividend and divisor by ten. Hence, according to axiom first
100--1. The second symbol is twice the first; or, i. The third is
three times the first; or, - , &c, to the last, which is-?
ones. The first character, j-may represent any finite quantity in
the solution of a problem. Thus, A and B own 100 acres of land; B
owns twice as much as A, how much does each own? Solution.--Let 1.
represent what A owns, since B owns twice as much as A, will
represent what B owns; and y+, ov =100 acres, and i, what A owns,
is one third of 100, or 33 acres; i, what B owns, is twice 33J, or
66$ acres. The last symbol has no value wnen it stands alone, but
when inverted becomes-=oo, the symbol of an infinite quantity. The
rules of Square and Cube Root are the most important in this book.'
The office of square root is to find the linear edge of a square.
The sign of Square Root is indicated by () and denotes, when placed
over a number, that the s...
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