Magic, Stage Illusions and Scientific Diversions, Including Trick Photography
CHAPTER IV.
4748 words | Chapter 90
GREEK LAMPS, TOYS, ETC.
PERPETUAL LAMPS.
The ancients utilized, in their prestiges, combustible gases, which, in
many places, were disengaged naturally from the earth.
The Arab Schiangia, in a passage quoted by Father Kircher, expresses
himself in this wise:
“In Egypt there was a field whose ditches were full of pitch and liquid
bitumen. Philosophers, who understood the forces of nature, constructed
canals which connected places like these with lamps hidden at the bottom
of subterranean crypts. These lamps had wicks made of threads that could
not burn. By this means the lamp, once lighted, burned eternally,
because of the continuous influx of bitumen and the incombustibility of
the wick.”
It is possible that it was to an artifice of this same nature that were
due some of the numerous perpetual lamps that history has preserved a
reminiscence of, such as that which Plutarch saw in the temple of
Jupiter Ammon, in Egypt, and that in the temple of Venus, which Saint
Augustine could only explain as due to the intervention of demons. But
the majority of them owed their peculiarity only to the precautions
taken by the priests to feed them without being seen. It was only
necessary, in fact, that the wick, which was made of asbestos threads or
gold wire, should be kept intact, and that the body of the lamp should
communicate with a reservoir placed in a neighboring apartment in such a
way that the level of the oil should remain constant. Heron and Philo
have left us descriptions of a certain number of arrangements that
permitted of accomplishing such an object.
The same authors likewise point out different processes for
manufacturing portable lamps in which the oil rises automatically. The
most ingenious one is that which is at the present day known under the
name of “Heron’s Fountain.”[12]
[12] In 1801, Carcel and Carreau applied Heron’s system to lamps
without, perhaps, knowing that they were thus returning to the
primitive apparatus.
The following is the Alexandrine engineer’s text:
“Construction of a candelabrum such that upon placing a lamp thereon,
there comes up through the handle, when the oil is consumed, any
quantity that may be wished, and that, too, without there being any
need of placing above it any vessel serving as a reservoir for the oil.
“A hollow candelabra must be made, with a base in the shape of a
pyramid. Let Α Β Γ Δ be such pyramidal base, and in this let there be a
partition, Ε Ζ. Again, let Η Θ be the stem of the candelabrum, which
should also be hollow. Above, let there be placed a vessel, Κ Λ, capable
of containing a large quantity of oil. From the partition, Ε Ζ, there
starts a tube, Μ Ν, which traverses it and reaches almost to the cover
of the vessel, Κ Λ, upon which latter is placed the lamp in such a way
as to allow only a passage for the air. Another tube, Ξ Ο, passes
through the cover and runs down, on the one hand, to the bottom of the
vessel, Κ Λ, in such a way that the liquid may be capable of flowing,
and on the other, forms a slight projection on the cover. To this
projection there is carefully adjusted another tube, Π, which is
provided with a stopper at its upper part, and, traversing the bottom of
the lamp and united with it, is wholly inclosed within the interior of
the lamp. To the tube, Π, there is soldered another and very fine one
which communicates with it and reaches the extremity of the lamp handle.
This tube debouches in the latter in such a way that its contents may
empty into the lamp, the orifice of which is of the usual size. Under
the partition, Ε Ζ, there is soldered a cock that enters the
compartment, Γ Δ Ε Ζ, in such a way that when it is open the water from
the chamber, Α Β Ε Ζ, may pass into the compartment, Γ Δ Ε Ζ. Through
the upper plate, Α Β, there is pierced a small hole, through which the
compartment, Α Β Ε Ζ, may be filled with water, the air within escaping
through the same aperture.
[Illustration: PLATO’S LAMP]
“Let us now remove the lamp and fill the vessel with oil by the aid of
the tube, Ξ Ο. The air will escape through the tube, Μ Ν, and afterward
through a cock which is open near the bottom, Γ Δ, when the water has
flowed out from the compartment, Γ Δ Ε Ζ. Let us place the lamp upon its
base, connecting it at the same time with the tube, Π. When it becomes
necessary to pour oil into it, we will open the cock near the partition,
Ε Ζ. The water that is in the compartment, Γ Δ Ε Ζ, as well as the air
therein, being forced through the tube, Μ Ν, into the vessel, will
cause the oil to rise and pass into the lamp through the tube, Ξ Ο, and
the one that forms a continuation of it. When it is desired to cause the
oil to stop coming over, the cock is closed, when the flow will cease.
This may be repeated as often as may be necessary.”
Such was, perhaps, Plato’s lamp, of which Athenæus speaks in the
“Banquet of the Sophists,” and by means of which the illustrious
philosopher was enabled to have a light for himself during the longest
nights in the year.
AN ANCIENT AUTOMATON.
In his “_Spiritalia_” (written about 150 B.C.) Heron describes several
automata of which figures of birds form a part; but perhaps the most
remarkable for its ingenious simplicity is No. 44, the illustration of
which we reproduce.
The description of this, as given by Heron, is somewhat meager and
unsatisfactory, but the drawing is so very plain that, taken in
connection with other mechanism in his work, operated in a similar way,
it is easy to understand how the desired result was accomplished.
An air-tight box of metal was provided, which was divided into four
compartments, 1, 2, 3, 4, by horizontal diaphragm plates. On the top of
this box was a basin, O, for receiving the water of a fountain. Around
this basin were four birds, A, B, C, D, perched upon branches or shrubs,
which apparently grew out of the top of the box. Each of these branches
was hollow, and communicated with one of the compartments already named,
by one of the pipes, 9, 10, 12, and 13, which passed but a very short
distance through the tops of the several compartments. The bodies of the
birds were also hollow, and were connected with the hollow branches by
tubes in their legs. In the hollow body of each bird were two musical
reeds or whistles of different note. One of these would sound when air
was forced outward through the beak of the bird, and the other would
only respond to air drawn inward. This alternate action of the air, and
consequent variation of note, was produced by the peculiar way in which
the water supplied by the fountain was made to pass through the several
compartments.
The water from the basin, O, entered compartment 1 near its bottom by
the pipe 11, and as it rose in the compartment, it compressed the air
above it, which escaped through the beak of the bird, A, and caused its
first note to sound; but when the water reached the top of the bend of
the siphon 5, it at once began to discharge by that siphon into
compartment 2; but as the siphon 5 was so proportioned that it
discharged the water much faster than it was supplied by pipe 11, the
level of the water in compartment 1 gradually fell, and the air in
passing into this compartment through the beak of the bird, A, caused
its second note to sound. As the water rose in compartment 2, it
compressed the air above it, which passed by the pipe 10, to the bird,
B, which then sounded its first note, while the bird, A, was sounding
its second, and this state of affairs continued until all of the water
was discharged from the compartment 1, and compartment 2 was filled to
the top of the bend of siphon 6, which then began to discharge into
compartment 3; and as siphon 5 had ceased to operate, the water
gradually fell in compartment 2, and the air entering by the beak of the
bird, B, sounded its second note. While this was taking place,
compartment 1 was again filling, and the first note of bird, A,
sounding; and compartment 3 was also filling, and the air above the
water therein was being forced by the pipe 12 into the bird, C, and
causing its first note to sound.
[Illustration: AN ANCIENT AUTOMATON.]
By following out the operations described, and tracing the action of the
flux and reflux of the water in the compartments 3 and 4, it will
readily be seen that the bird, C, will sound its second note when the
compartment 3 is being discharged by siphon 7 into compartment 4, and at
the same time the bird, D, will sound its first note, and that
eventually the water will escape from the automaton by the siphon 8,
causing the second note of the bird, D, to be heard.
It is evident that by simple and well-known means any or all of the bird
notes can be made to trill, and that it is only necessary to properly
proportion the discharging capacity of the siphons to insure the
repetition and admixture of the notes in a bird-like manner; and it is
further evident that the employment of the ideas involved is not of
necessity confined to but four birds, as several birds, each having
different notes, might be operated from the same compartment, and of
course as many compartments as may be wished can be used. Furthermore,
the wings of the birds could be made to move, and their beaks to open
and shut, by the movement of the same air which acted upon the musical
reeds or whistles.
Each of the siphons in the automaton was intermittent in its action,
ceasing to flow when its compartment was emptied, and beginning again
spontaneously when the water reached the level of the top of its bend.
The antiquity of intermittent siphons is of special interest from the
fact of their comparatively recent application in sanitary plumbing.
Chaucer was not much in error as regards his own time (1328-1400), and
his words are only somewhat less true to-day:
“For out of the old fieldes, as men saithe,
Cometh al this new corne fro yere to yere;
And out of old bookes, in good faithe,
Cometh all this new science that men lere.”
A GREEK TOY.
Upon a pedestal there is fixed a small tree around which is coiled a
dragon. A figure of Hercules stands near by, shooting with a bow, and
there is an apple lying upon the pedestal. If this apple be lifted from
the latter, Hercules will shoot his arrow at the dragon, and the latter
will hiss.
[Illustration: A GREEK TOY.]
_Mechanism of the Toy._--Let Α Β be the water-tight pedestal under
consideration, provided with a diaphragm, Γ Δ. To this latter there is
fixed a small, hollow, truncated cone whose apex points toward the
bottom of the vessel, and from which it is just sufficiently distant to
permit the water to pass. To this cone there is adjusted with care
another one, Θ, which is fixed to a chain that, passing through an
aperture, connects it with the apple. Hercules holds a small horn bow,
whose string is stretched and laced at a proper distance from the right
hand. The left hand is provided with a detent. To the extremity of this
latter there is fixed a small chain or a cord that traverses the top of
the pedestal, passes over a pulley fixed to the diaphragm, and connects
with the small chain that joins the cone with the apple. This cord
passes through the hand and body into the interior of Hercules. A small
tube, one of those used for whistling with, starts from the diaphragm,
rises through the top of the pedestal, and passes into the interior of
the tree or around it.
Now, if the apple, Κ, be raised, the cone, Θ, will be raised at the same
time, the cord, Χ Φ, will be tightened, the catch will be freed, and
this will cause the arrow to shoot. The water in the compartment Α Γ,
running into the compartment Β Γ, will drive out the air contained in
the latter, through the tube, and produce a hissing. The apple being
replaced, the cone, Θ, will adjust itself against the other, stop the
flow, and thus cause the hissing to cease. The arrow and its accessories
will then be adjusted anew.
When the compartment Β Γ is full, it is emptied by means of a spout
provided with a key, and Α Δ is again filled as we have indicated.
THE DECAPITATED DRINKING HORSE.
The optical delusion known as the talking decapitated person has already
been described in Book I., Chapter I., of the present work. The ancients
invented an analogous trick, but one that was founded upon a very
ingenious mechanical combination. This is found described at the end of
Heron’s “Pneumatics,” under the title, “To cut an animal in two and make
him drink.” It is as follows:
“Let us suppose a hollow pedestal, A B C D, divided in its center by a
diaphragm, E F. Above the pedestal there is fixed a statuette
representing a horse and traversed by a tube, M N, which terminates on
the one hand in the horse’s mouth, and in the other in the upper part of
the compartment, A B E F, after following one of the legs. It will be
conceived, in the first place, that if the said compartment be filled
with water through an aperture, T, which is afterwards stopped up, and
that then a cock be opened, so as to form a communication between the
upper compartment and the lower (which latter is itself provided with an
open air-hole), the water will flow, and, in doing so, tend to cause a
vacuum in the tube, M N, so that when a vessel of water is brought near
the animal’s mouth the water will be sucked up.
“If the cock be so arranged as to present its key upon the top of the
pedestal, and if to the key there be adapted a statuette representing a
man armed with a club, things may be so arranged that the animal shall
drink when the man has his back turned, for example, and that he shall
stop drinking when the man threatens him with the club.
“The following is the way in which a knife may be passed through the
animal’s neck without causing the head to fall or interrupting
communication between the mouth and pedestal. The head and body form
two distinct pieces, which are adjusted according to the plane, O P
(Figs. 1, 2, and 3). The tube, M N, is interrupted to the right of this
slit, and the two parts of it are connected by a smaller tube, α β,
which enters by slight friction into the interior of each of them; and
to this small tube, α β, there are fixed two racks, δ and ε. Above δ and
under ε are placed two segments of toothed wheels, π and ρ, which are
movable around axles fixed in the body of the animal. Over the whole
there is a third wheel, which is likewise movable around an axle fixed
in the animal’s body, and the thickness of which keeps increasing from
the centre to the circumference. This wheel is cut out into three parts
of circles, μ, ν, and ξ, which have for diameters three of the sides of
the inscribed hexagon. It is inclosed in the neck in such a way that the
circular cavity containing it embraces just four of the sides of the
inscribed hexagon, the two other sides projecting outside of the plane,
O P. In the piece that forms the head a circular cavity is formed
capable of containing this projecting portion of the wheel, and a
wedge-shaped profile is given it, so that when one tooth of the wheel,
σ, is engaged therein by the edge, it can also only leave it by the
edge. Let us now suppose the wheel, σ, free; let us engage one of its
teeth in the cavity, χ ψ; let us cause the head and body to approach;
let us fix the wheel, σ, in the body by means of the movable axle
traversing it; and let us introduce a knife into the slit, O P, and see
what will happen.
[Illustration: HERON’S DECAPITATED DRINKING HORSE.]
“The blade, on entering the space, ξ, will press against one of the
teeth, and cause it to descend until it, as well as the knife, is
disengaged. The tooth above the space, ξ, will then be disengaged in its
turn and connect the head with the body again. The knife-blade, which
is now under the wheel, σ, rests on the inclined plane that the figure
shows in the segment, π, and, on pressing thereupon, causes the wheel to
turn, and with it the rack, δ, and the tube, α β, which latter leaves
the tube, M, and gives passage to the blade between it and the
extremity, α. Then the blade comes in contact with the lower projection
of the sector, ρ, which has been carried upward by the motion of the
rack, ε, that is connected with the rack, δ. On pressing against such
projection the blade causes the segment, ρ, to revolve in a contrary
direction, brings ε toward the left, and causes the small tube, α β, to
enter anew the tube, M. Communication between M and N is thus
reëstablished.”
M. de Rochas has never found elsewhere than in the “Pneumatics” a
description of this system of toothed wheels, although he has read the
majority of books treating of this class of ideas. The description given
by Heron is itself so confused and so mutilated, and the figure that
accompanies it is so incomplete, that in all the Latin editions it is
suppressed as incomprehensible.
[Illustration: THE DECAPITATED HORSE. DETAILS OF THE MECHANISM IN THE
NECK.]
ODOMETERS.
In the inventory of the objects sold after the death of the Emperor
Commodus, drawn up by Julius Capitolinus in the life of Pertinax, we
find mentioned, among other valuable things, “vehicles that mark
distances and hours.”
Vitruvius (X, 14) describes the mechanism of these vehicles, but the
figures that must have served to throw light upon the text have been
lost, so that his description is somewhat obscure. Fortunately, as a
sequel to a manuscript of the Dioptra of Heron, there have been found
two Greek fragments upon this same subject, dating back probably to the
Alexandrine epoch and accompanied with figures. The following is a
translation, says M. de Rochas:
TO MEASURE DISTANCES UPON THE SURFACE OF THE EARTH BY MEANS OF AN
APPARATUS CALLED AN ODOMETER.
Provided with this instrument, instead of being obliged to measure land
slowly and laboriously with the chain or cord, it is possible in
traveling in a vehicle to know the distances made, according to the
number of revolutions of the wheels. Others, it is true, have, previous
to us, made known certain methods of accomplishing the same object; but
every one will be able to decide between the instrument described here
by us and those of our predecessors.
[Illustration: FIG. 1.--HERON’S ODOMETER FOR VEHICLES.]
Let us imagine an apparatus in the form of a box (Fig. 1) in which is
contained the entire machine that we are to describe. Upon the bottom of
the box rests a copper face wheel, Α Β, having, say, eight teeth. In the
bottom there is an opening in which a rod, fixed to the hub of one of
the wheels of the vehicle and engaging at every revolution, pushes
forward one of the teeth, which is replaced by the following one, and so
on indefinitely. Whence it results that when the wheel of the vehicle
has made eight revolutions, the face wheel will have made one. Now, to
the center of the latter there is fixed perpendicularly, by one of its
extremities, a screw which, by its other extremity, engages with a
crosspiece fixed to the sides of the box. This screw gears with the
teeth of a wheel whose plane is perpendicular to the bottom of the box.
This wheel is provided with an axle whose extremities pivot against the
sides of the box. A portion of this axle is provided with spirals formed
in its surface, so that it becomes a screw. With this screw there gears
a toothed wheel parallel with the bottom of the box. To this wheel is
fixed an axle, one of the extremities of which pivots upon the bottom,
while the other enters the crosspiece fixed to the sides; and this axle
likewise carries a screw that gears with the teeth of another wheel
placed perpendicular to the bottom. This arrangement may be continued as
long as may be desired, or as long as there is space in the box; for the
more numerous are the wheels and screws, the longer will be the route
that one will be able to measure.
In fact, every screw, in making one revolution, causes the motion of one
tooth of the wheel with which it gears; so that the screw carried by the
face wheel, in revolving once, indicates eight revolutions of the wheel
of the vehicle, while it moves only one tooth of the wheel upon which it
acts. So, too, the said toothed wheel, in making one revolution, will
cause the screw fixed to its plane to make one revolution, and a single
one of the teeth of the succeeding wheel will be thrust forward.
Consequently, if this new wheel has again thirty teeth (and this is a
reasonable number), it will, in making one revolution, indicate 7,200
revolutions of the wheel of the vehicle. Let us suppose that the latter
is ten cubits in circumference, and this would be 72,000 cubits, that is
to say, 180 furlongs. This applies to the second toothed wheel. If there
are others, and if the number of teeth likewise increases, the length of
the journey that it will be possible to measure will increase
proportionally. But it is well to make use of an apparatus so
constructed that the distance which it will be able to indicate does not
much exceed that which it is possible to make in one day with the
vehicle, since one can, after measuring the day’s route, begin anew for
the following route.
This is not all. As one revolution of each screw does not correspond
with mathematical accuracy and precision to the escapement of one tooth,
we shall in an express experiment cause the first screw to revolve until
the wheel that gears with it has made one revolution, and shall count
the number of times that the wheel will have revolved. Let us suppose,
for example, that it has revolved twenty times while the adjacent wheel
has made a single revolution. This wheel has thirty teeth; therefore,
twenty revolutions of the face wheel correspond to thirty teeth of the
toothed wheel moved by the screw. On the other hand, the twenty
revolutions allow 160 teeth of the face wheel to escape, and this makes
a like number of revolutions of the wheel of the vehicle, that is to
say, 1,600 cubits; consequently, a single tooth of the preceding wheel
indicates 53-1/3 cubits. Thus, for example, when, in starting from the
origin of the motion, the toothed wheel will have revolved by fifteen
teeth, this will indicate 800 cubits, say two furlongs; upon this same
wheel we shall therefore write 53-1/3 cubits. Making a similar
calculation for the other toothed wheels, we shall write upon each one
of them the number that corresponds to it. In this way, after we
ascertain how many teeth each has moved forward, we shall know by the
same the distance that we have traveled.
Now, in order to be able to determine the distance traveled without
having to open the box in order to see the teeth of each wheel, we are
going to show how it is possible to estimate the length of the route by
means of an index placed upon the external faces. Let us admit that the
toothed wheels of which we have spoken are so arranged as not to touch
the sides of the box, but that their axles project externally and are
squared so as to receive indexes. In this way the wheel, in revolving,
will cause its axle with its index to turn, and the latter will describe
upon the exterior a circle that we shall divide into a number of parts
equal to that of the teeth of the interior wheel. The index should have
a length sufficient to describe a circumference greater than that of the
wheel, so that such circumference may be divided into parts wider than
the interval that separates the teeth. This circle should carry the
number already marked upon the interval wheel. By this means we shall
see upon the external surface of the box the length of the trip made.
Were it impossible to prevent the friction of the wheels against the
sides of the box, for one reason or another, it would then be necessary
to file them off sufficiently to prevent the apparatus from being
impeded in its operation in any way.
Moreover, as some of the toothed wheels are perpendicular to and others
parallel with the bottom of the box, so, too, the circles described by
the indexes will be some of them upon the sides of the box and others
upon the top. Consequently, it will be necessary to so manage that the
side that carries no circle shall serve as a cover; or, in other words,
that the box shall be closed laterally.
Another engineer, probably Græco-Latin, since he expresses distances
sometimes in miles and sometimes in stadia, has pointed out an
arrangement of a different system for measuring the progress of a ship.
We shall describe this apparatus, which we illustrate in Fig. 2.
Let Α Β be a screw revolving in its supports. Let us suppose that its
thread moves a wheel, Δ, of 81 teeth, to which is fixed another and
parallel wheel, Ε (a pinion), of nine teeth. Let us suppose that this
pinion gears with another wheel, Ζ, of 100 teeth, and that to the latter
is fixed a pinion, Η, of 18 teeth. Then let us suppose that this pinion
gears with a third wheel, Θ, of 72 teeth, which likewise is provided
with a pinion, Κ, of 18 teeth, and again that this pinion engages with a
wheel, Λ, of 100 teeth, and so on; so that finally the last wheel
carries an index so arranged as to indicate the number of stadia
traveled.
On the other hand, let us construct a star wheel, Μ, whose perimeter is
five paces. Let us suppose it perfectly circular and affixed to the side
of a vessel in such a way as to have, upon the surface of the water, a
velocity equal to that of the vessel. Let us suppose, besides, that, at
every revolution of the wheel, Μ, there advances, if possible, one tooth
of Δ. It is clear, then, that at every distance of 100 miles made by the
vessel the wheel, Δ, will make one revolution; so that, if a circle
concentric with the wheel, Λ, is divided into 100 parts, the index fixed
to Λ will, in revolving upon this circle, mark the number of miles made
by the number of the degrees.
Odometers, like so many other things, have been reinvented several
times, notably in 1662 by a member of the Royal Society of London, and
in 1724 by Abbot Meynier.
[Illustration: FIG. 2.--ODOMETER FOR VESSELS.]
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