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Trigonometria (1658)

Newton, J. · leaf 18

An illustration from Trigonometria, 1658, leaf 18
m of two arches together leffe then a Semii irele, is to the dif-ference of the fines, as the half Radius is to the fine of half the difference. Demiti(ha<->*. Let the given arches (/»the following Daaram) be D F and F E, their fines areDM and EN, and D L is the difference of thofe fines, E F… … the rickand AB Ingonomeiria BrkmnkA e 19 The right fines of the half fum and half difference of two arches are mean proportionalsbetween the whole Sine and the half difference of the verfed fines. Demonftration. C Let the given arches be D F and F E, and their verfedfines M F and F N, their…

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