Encyclopædia metropolitana; or, Universal dictionary of knowledge, ed. by E. Smedley, Hugh J. Rose and Henry J. Rose. [With] Plates, Volume 11845 |
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Page 78 - ... arc the sine, or half chord, of double the arc ; and so brought the theory into the form in which it is used in modern trigonometry : the before-mentioned theorem of Ptolemy, or rather a particular case of it, translated into the notation of sines, gives the expression for the sine of the sum of two arcs in terms of the sines and cosines of the component arcs ; and it is thus the fundamental theorem on the subject. We have in the fifteenth and sixteenth centuries a series of...