An Account of the Life, Writings, and Inventions of John Napier, of Merchiston |
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Page 44
... fign excepted . 5. THE number of fyftems of logarithms is infinite : for the ratio of CN to CN ' and L L ' are indeterminate . 6. THE logarithms of any one fyftem , are to the correspondent ones of any other , as the value of LL ' in ...
... fign excepted . 5. THE number of fyftems of logarithms is infinite : for the ratio of CN to CN ' and L L ' are indeterminate . 6. THE logarithms of any one fyftem , are to the correspondent ones of any other , as the value of LL ' in ...
Page 59
... made equal to zero , the logarithms of all the tangents of arcs below 45 ° and of all the fines must have a different fign from that of the logarithms of arc . all all the tangents of arcs above 45 ° . Napier INVENTIONS OF NAPIER . 59.
... made equal to zero , the logarithms of all the tangents of arcs below 45 ° and of all the fines must have a different fign from that of the logarithms of arc . all all the tangents of arcs above 45 ° . Napier INVENTIONS OF NAPIER . 59.
Page 60
... fign for the former which he calls abundantes , and the negative for the latter which he calls defectivi . THE arrangement of the numbers in Napier's logarithmic table , is nearly the fame with that neat one which is ftill in ufe . The ...
... fign for the former which he calls abundantes , and the negative for the latter which he calls defectivi . THE arrangement of the numbers in Napier's logarithmic table , is nearly the fame with that neat one which is ftill in ufe . The ...
Page 63
... fign of the logarithms of the tangents of arcs greater than 45 ° and the sign of the logarithms of the fines of all the arcs of the quadrant . THIS defect was eafily remedied by fuppofing the fmalleft poffible fine equal : o 1 and its ...
... fign of the logarithms of the tangents of arcs greater than 45 ° and the sign of the logarithms of the fines of all the arcs of the quadrant . THIS defect was eafily remedied by fuppofing the fmalleft poffible fine equal : o 1 and its ...
Page 65
... fign . WITH regard to the logarithm of the radius , its being eafily mana- ged is fufficiently obvious . THUS in our common logarithms the difadvantages of Napier's fyftem are avoided , whilst its advantages are retained and united to ...
... fign . WITH regard to the logarithm of the radius , its being eafily mana- ged is fufficiently obvious . THUS in our common logarithms the difadvantages of Napier's fyftem are avoided , whilst its advantages are retained and united to ...
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ACCOUNT OF THE LIFE WRITINGS & Walter 1753-1796 Minto,David Stewart Erskine Earl of Buchan No preview available - 2016 |
Common terms and phrases
abfcifs adjacent afymptote alfo alſo angle arcs Arithmetica arithmetical bafe Briggs Byrgius cafes Canon circular cofines column common logarithms conftruction correfponding counters curve defcending defcribed demonftrated difcovery divifion divifor eaſily EDMUND Gunter equal faid fame fecond feems fegments feries feven fhall fides fign figures fimple fin BC fince fines and tangents firft firſt fluxion folution fome fpherical triangle fquare root fubtangent fubtract fufficient fum and half fupplement fuppofed fyftem garithms half the difference half the fum himſelf hyperbola infinite interfect invention itſelf JOHN NAPIER laft lamella laſt lefs loga logarithmic fines logarithmorum Longomontanus margin Merchifton metical modulus Montucla moſt multiplication muſt Napier natural numbers Neper oblique fpherical oppofite ordinate plane triangle promptuary propofition publiſhed purpoſe quadrant quantity radius refpective Regiomontanus ſpace ſquare tang tangents of half thefe theorem theſe thofe thoſe three fides Trigonometry Tycho Brahe uſe
Popular passages
Page 17 - Mr. Briggs, to his great contentment.. He brings Mr. Briggs up into my lord's chamber, where almost one quarter of an hour was spent, each beholding other almost with admiration before one word was spoke.
Page 15 - That for the mine and overthrow of man, there were too many devices already framed, which, if he could make to be fewer, he would with all his might endeavour to do ; and that therefore seeing the malice and rancor rooted in the heart of mankind will not suffer them to diminish, by any new conceit of his, the number of them should never be increased.
Page 17 - My Lord, I have undertaken this long journey purposely to see your person, and to know by what engine of wit or ingenuity you came...
Page 16 - Marchiston, made public his logarithms, Mr Briggs, then reader of the astronomy lectures at Gresham College, in London, was so surprised with admiration of them, that he could have no quietness in himself until he had seen...
Page 17 - Napier was doubtful he would not come. It happened one day as John Marr and the lord Napier were speaking of Mr. Briggs ; ' Ah, John,' said Marchiston, ' Mr. Briggs will not now come.
Page 121 - I. The sine of the middle part is equal to the product of the tangents of the adjacent parts.
Page 20 - Minto, that he was interred in the Cathedral Church of St Giles at Edinburgh, on the...
Page 15 - Turks, without the hazard of one Christian. Of this it is said that (upon a wager) he gave proof upon a large plain in Scotland, to the destruction of a great many herds of cattle, and flocks of sheep, whereof some were distant from other half a mile on all sides, and some a whole mile.
Page 16 - Briggs purposely to be there when these two so learned persons should meet. Mr Briggs appoints a certain day when to meet at Edinburgh ; but, failing thereof, Merchiston was fearful he would not come. It happened one day as John Marr and the Lord Napier were speaking of Mr Briggs,