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To distribute among three persons 21 casks of wine, 7
of them full, 7 of them empty, and 7 of them
half full, so that each of them shall have the
same quantity of wine, and the same number
of casks
......
A schoolmaster, to amuse his scholars, &c...
To tell the figure which has been privately cut off from a certain product
...
A person having multiplied two numbers together, to
tell the product, provided you know only the
last figure of it
Page.
ib.
101
A person having chosen two numbers, and divided the
greater by the less, to tell the quotient.
POLITICAL ARITHMETIC..
Of the proportion between the males and females ib.
Of the mortality of the human race, according to the
different ages..
.... 102
Of the number of men of different ages in a given
....
number
Of the proportion of the births and deaths to the whole
number of the inhabitants of a country....
Of some other proportions in regard to the inhabitants
of a country
The age of a man being given, to tell the probability of
his reaching a certain age
A young man, aged 20, borrows £1000. to be paid with
105
106
107
108
interest, when he attains to the age of 25, &c. 109
A state or an individual, having occasion to borrow a
sum of money on an annuity, &c.
MAGIC SQUARES
Method of constructing an Odd Square
Method of constructing an Even Square
A Geometrical Square...
To make the knight pass over all the squares of the
chess board, without passing twice over the
same
APPLICATION OF ANALYSIS to the Solution of
Various Problems.
.....
A lady lamenting that her age was triple that of her
daughter, &c.
111
112
113
114
116
ib:
A father on his his death-bed, gave orders in his will, &c. 117
A captain being asked how many soldiers he had in his
The head of a fish nine inches in length, &c.
A person who had the lease of a house for 99 years,
being asked, &c.
To divide the number 50 into two such parts, &c. . . . .
It is proposed to divide 100 into two such parts, &c. -
Two persons sat down to play, &c.
The minute hand of a clock being at 12, and the hour
hand at 1, &c.
....... 122
If two bodies move towards each other with unequal
velocities, &c
To divide 90 into two parts, the ratio of which shall be
as 2 to 3
Application of Analysis to the solution of the 11th pro-
blem of divining
What number is that the of of which, &c.
What number is that the
arithmetic
of of which, &c.
What number is that of of which, &c.
What number is that of which 4 of 2, &c.
What number is that of which are equal to 1?
123
124
125
126
What number is that the,, and 4 of which make 12 ib.
The triple, the half, and the fourth, &c.
.... .......
A banker at his death being desirous of rewarding ten
Of the velocity of sound-method of measuring dis-
tances by it
145
How sounds may be propagated in every direction
without confusion...
146
Of echoes-how produced-account of the most re-
markable, and of some phenomena respecting
them
To construct two figures, to be placed at the two ends
of a hall, one of which shall repeat to the ear of
a person, &c..
Experiments respecting the vibration of Musical
Strings
Method of adding, subtracting, multiplying, and divid-
151
Scale of Sounds in the Diatonic Progression
To determine the vibrations made by a string of a
given length and size
To subtract one concord from another.
To double a concord, or multiply it any number of
times, at pleasure....
To divide one concord by any number at pleasure.
Of the resonance of sonorous bodies, the fundamental
principles of harmony and melody, with some
other harmonical phenomena
The cause of the pleasure arising from music.
Of the properties of certain instruments, &c.
Of some musical instruments or machines remarkable
for their singularity or construction
Of a new instrument called the harmonica
On what is called a false voice
Of the speaking trumpet and ear trumpet.
ELECTRICITY
Definitions
Aphorisms
Experiments in electricity
The animated feather
The artificial spider..
The marvellous fountain
The Magic Picture.
The Tantalian cup
The self-moving wheel.
The magician's chace
The planetarium
The incendiaries
The inconceivable shock
Magical explosions
The prismatic colours
The artificial spider
The artificial earthquake
The electrical kite
Candle lighted by electricity
Candle bombs
Dancing balls
163
........
169
171
172
173
175
178
179
181
184
185
186
188
189
190
192
193
194
195
Optical Augmentation
into a dark chamber.
The magic lantern
Three objects discernible only with both eyes
To construct the camera obscura
The magnifying reflector
............
To magnify small objects by means of the sun's rays let
Method of painting the glasses for the lantern
209
210
211
212
213
214
215
216
AMUSING SECRETS
To make a ring be suspended by a thread after it has
been burnt....
.......
To make people in a room have a hideous appear-
ance
To form figures in relief on an egg
To change a colour from white to blue.
236
To make a red liquor, which, when poured into differ-
ent glasses, shall become yellow, blue, black, or
purple.....
To make pornatum with water and wax ·
How a body of combustible matter may be penetrated
by fire without being consumed.
Apparent transmutation of iron into copper or silver
Different substances successively precipitated by add-
ing another to the solution...
237
238
239
By the mixture of two transparent liquors to produce a
blackish liquor-method of making good ink.. 240
To produce inflammable and fulminating vapours.
The philosophical candle...
To make an artificial volcano.
To make fulminating powder....
241
242
•.243
To form a combination, which when cold is liquid and
transparent, but when warm becomes thick and
opake
To make a flash, like that of lightning, appear in a
room when any one enters it with a lighted candle ib.
Of sympathetic inks, and some tricks which may be
performed by means of them
........ ........ 244
To make a drawing, which shall alternately represent
winter and summer ..
The magic oracle.
Of metallic vegetations
Arbor Martis, or tree of Mars
Arbor Dianæ, or tree of Diana.
The lead tree
Non-metallic vegetation.....
...... 245
246
247
248
To produce heat, and even flame, by means of two cold
liquors
..... 249
250
To fuse iron in a moment, and make it run into drops
Cement for making broken china.
Process for whitening prints
Method of taking paintings from the old canvass, and
transferring them to new.................
...... 251
To fill a glass with water in such a manner that a per-
son shall not be able to remove it without
spilling it all.
To construct two figures, one of which shall blow out
a candle, and the other light it again
To construet a vessel from which water shall escape
through the bottom, as soon as its mouth is un-
stopped...
252