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Author of Natural Theology, The Young Artist's Assistant, Pronouncing Dictionary, &c.
LONDON:
PRINTED FOR A. K. NEWMAN AND CO. SIMPKIN AND MARSHALL, T. TEGG, AND EDWARDS AND KNIBBS; ALSO GRIFFIN
AND CO. GLASGOW.
HARVARD
COLLEGE
NOV 3 1914
CAMBRIDGE, MASS Prof. E. C. Pickering
2381-7
W 19916
Of Ratios and Proportions
...
General Rules in regard to Equations
.....
Properties of Arithmetical Proportion and Progression
Properties of Geometrical Proportion and Progression
Rule of Three
....
ARITHMETIC
Page.
1
Of our Numerical System, and the different Kinds of
Arithmetic
Of some Properties of Numbers
7
ib.
9
12
14
17
19
20
23
Of Arithmetical and Geometrical Progression, with some Problems which depend on them.....
Of Harmonical Progression
Problems in Geometrical Progression
Exercises in the Single and Compound Rule of Three,
Application of the Doctrine of Combinations to Games
of Chance and Probabilities
......
Problems in Probabilities and Games of Chance...
A Table of the different Ways in which any Point can
be thrown with One, Two, Three, or more
Dice
Different Methods of telling what Number a Person has
thought of
A Person having in one Hand a Piece of Gold, and in
the other a Piece of Silver, to tell, &c.......
The Game of the Ring....
To guess the number of spots on any card which a
person has drawn from a whole pack..................
38
A person having a certain number of counters in each
hand, to tell how many he has altogether....
Several cards being given, to tell which of them a per-
son has thought of
Another problem of the same kind
To make all the cards of the same kind be found toge-
ther, however often the pack may have been
The four indivisible kings
cut
83
To write down on a piece of paper the heap of cards
which a person will choose...
84
Several cards being presented to several persons, to
guess that which each has thought of.....
Three cards being presented to three persons, to guess
that which each has chosen
To tell the number of spots on all the bottom cards of
several heaps, arranged on a table..
To name all the cards of a pack..
........
To make a person believe you can distinguish the
cards by their smell
A pack of cards being divided into two parts, to disco-
ver whetehr the number in each be odd or
even
To tell rhe number of spots on several cards which any
person has chosen...
A person having drawn four cards from a pack, to tell
the one he has thought of
Three things privately distributed to three persons, to
guess that which each has got.....
To tell, by inspecting a watch, at what hour a person
has resolved to rise next morning •
Two persons agree to take alternately numbers less
than a given number, and to add them toge-
ther till one of them has reached a certain
sum, by what means one of them can reach that sum before the other
Sixteen counters being disposed in two rows, to find
that which a person has thought of
A certain number of cards being shown to a person, to
guess that which he has thought of.
93
To arrange 30 criminals in such a manner as to save
15 of them, &c....
94.
The game of the nosegays
A man has a wolf, a goat, and a cabbage, to carry over
a river, &c.
To dispose counters in the eight external cells of a
square, so that there shall always be nine in
each row, and yet the whole number shall
vary from 20 to 32