Disentangling a Triangle
نویسندگان
چکیده
1. INTRODUCTION. In his Almagest, Ptolemy inscribes triangles in a unit circle, a circle with diameter d = 1 (see [5], pp. 90–92). This way the length of each side (now chord) represents the value of the trigonometric function sine of the opposite angle. A similar geometric interpretation of the cosine function is possible. In Figure 1 we present Ptolemy's famous sketch, juxtaposed with a " dual " sketch that shows the values of the cosines as segments of the altitudes (see Proposition 1).
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ورودعنوان ژورنال:
- The American Mathematical Monthly
دوره 116 شماره
صفحات -
تاریخ انتشار 2009