. Encyclopaedia : or, A dictionary of arts, sciences, and miscellaneous literature; constructed on a plan, by which the different sciences and arts are digested into the form of distinct treatises of systems ... . fecant ofthe arc ; except only in the term next after the radius,or greateft term, the logarithm of which by the hy-pothefis is made equal to the verfed line. That is,if CD be made the loga-rithm of AC,or the meafure of theproportion of AC to AD; then themeafure of the proportion of ABto AD, that is, the logarithm ofAB, will be greater than BD, butlefs than EF. And this is the fameas
. Encyclopaedia : or, A dictionary of arts, sciences, and miscellaneous literature; constructed on a plan, by which the different sciences and arts are digested into the form of distinct treatises of systems ... . fecant ofthe arc ; except only in the term next after the radius,or greateft term, the logarithm of which by the hy-pothefis is made equal to the verfed line. That is,if CD be made the loga-rithm of AC,or the meafure of theproportion of AC to AD; then themeafure of the proportion of ABto AD, that is, the logarithm ofAB, will be greater than BD, butlefs than EF. And this is the fameas Napiers firft rule in page 44. 23. Prop. Tlie fame things being fuppofed ; thefumof the verfed fine and excefs of the fecant over the ra-dius, is greater than double the logarithm of the of an arc. Corol. The logarithm cofine is lefs than the arith-metic mean between the verfed fine and the excefs ofthe fecant. Precept 1. Any fine being found in the canon offines, and its defedt below radius to the excefs of thefecant above radius ; then mail the logarithm of thefine be lefs than half that fum, but greater than th«faid defed or coverfed fine. of an arc; the covers, and lefs than logarithm fine;. Sum 59,7109Its half or greater than the logarithm. Therefore the logarithm is betweenS 29-85io and6 129-85J5- Precept 3. The logarithm of the fine being found, number 99970,000 be required, add 149 the fractionalyou will alfo find nearly the logarithm of the round or part of the fine to its logarithm, obferving the point,integer number which is next lefs than your fine with thus, ] a fraction, by adding that fractional excefs to the lo-garithm of the faid fine. Thus the logarithm of the fine is foundto be about ; if now the logarithm of theround 149 (is the logarithm of the round num-• lber nearly. the fum J24. Prop. Of three equidiffcrent quantities, the mea-fure L O G A R 1 T H M BCD bed Sea. II. Conftruc- lure of the propor
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