Scientific American Supplement, No. 803, May 23, 1891Various
Science
Scientific American Supplement, No. 803, May 23, 1891
Various
Science -- Periodicals
In the accompanying illustration we show a new design of hand car,
being introduced by the Courtright Manufacturing Co., of Detroit. It
will be seen that the apparatus for propelling the car is very
different from the mechanism generally used. An upright framework
secured to the platform carries a large sprocket wheel, which is
connected to a smaller one upon one of the axles by means of a chain.
The larger sprocket wheel is rotated by means of a triangular shaped
lever attached at the lower corner to the crank of the sprocket wheel
and having a handle at each of its upper corners. It is hinged upon a
fulcrum which slides upon the two vertical rods shown in the
illustration. It will be seen that this gives a peculiar movement to
the handles by which the operators propel the car, but it has been
found that the motion is an excellent one, and it is claimed that a
higher speed can be obtained with the mechanism here shown than with
any other now in use. There is practically no dead center, as in the
case where the ordinary crank and lever is used. A number of leading
roads have given the car a trial, and being well satisfied it, have
given orders for more. The company claim that a car with 20 in. wheels
can easily be made to attain a speed of 15 miles an hour by two
men.--_Railway Review_.
* * * * *
THE CONIC SECTIONS.
By Prof. C.W. MACCORD, Sc.D.
In Fig. 1 let D be a given point, and O the center of a given circle,
whose diameter is FG. Bisect DF at A. Also about D describe an arc
with any radius DP greater than DA, and about O another arc with a
radius OP = DP + FO, intersecting the first arc at P, then draw PD,
and also PO, cutting the circumference of the given circle in L. Since
PD = PL, and DA = AF, it is evident that by repeating this process we
shall construct a curve PAR, which satisfies the condition that _every
point in it is equally distant from a given point and from the
circumference of a given circle_. Since PO-PD = LO, and AO-AD = FO,
this curve is one branch of the hyperbola of which D and O are the
foci.
[Illustration: FIG. 1]
Bisect DG at B, then about D describe an arc with any radius DQ
greater than DB, and about O another are with radius OQ = DQ-FO; draw
from Q the intersections of these arcs, the line QD, and also QO,
producing the latter to cut the circumference in E. By this process we
may construct the curve QBZ, each point of which is also equally
distant from the given point D, and from the concave instead of the
convex arc of the given circumference. The difference between QD and
QO being constant and equal to FO, and AB being also equal to FO, this
curve is the other branch of the same hyperbola, whose major axis is
equal to the radius of the given circle.
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