A Shorter Geometry

Cover A Shorter Geometry
A Shorter Geometry
C Charles Godfrey
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In fig. 162, CTD is a minor arc, CBD a major arc.
A diameter divides the circumference into two equal arcs, each of which is called a semicircle.
It will be proved below that the two semicircles are equal.
The term "semicircle" like the term "circle" is used in two different senses ; sometimes in the sense of an arc (as in the definition) ; sometimes as the part of the plane bounded by a semi-circumference and the cor- responding diameter.
A segment of a circle is the part of the plane bounded
...by an arc and its chord (fig. 163). A sector of a circle is the part of the plane bounded by two radii, and the arc which they intercept (fig. 163).
fig. 163.
HEx. 873. A circular hoop is cut into two pieces ; what is each called?
HEx. 874. A penny is cut into two pieces by a straight cut; what is the shape of each piece ?
IT Ex. 875. What geometrical figure has the shape of an open fan ?
UEx. 876. A certain gun in a fort has a range of 5 miles, and can be pointed in any direction from 15 E. Of N.


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