Elementary Geometry Congruent Figures

Cover Elementary Geometry Congruent Figures
Elementary Geometry Congruent Figures
O Olaus Henrici
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— The part of a pencil of /lalf -rays, described by a half- ray on turning about its end point C ^ "' from one positio7i a to another position b, is called an angle. The centi-e C of the pencil is called the vertex, and thefii'st and last positions a and b of the describing ray are the limits of the angle.
The angle itself is denoted by a b, or, if A and B are points on the limits a and b respectively, by A. CB, or, where necessary to avoid ambiguity, hy ^ab or Z. A CB, using the symbol /. To d
...enote an angle.
§ 85. This definition is not yet sufficient. For if the limits a and b are given the angle ab h not uniquely determined. We may turn ^^^ a half-ray from ^ to ^ either in the sense indicated by the curved arrow in fig. 16, or in the opposite sense, as in fig. 17.
We must therefore, besides the limits ab^ know the sense of turning. It will be convenient to fix once for all that sense of turning which we consider as positive, and which is meant if nothing else is stated. This is best done by referring to the well-known turn- ing of the hands of a watch.


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