An Account of the Life, Writings, and Inventions of John Napier, of Merchiston |
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Page 23
... arcs , which must have been a treatise on Trigonometry , and is the first of which history gives any ac- count . Menelaus , about the end of the first century , wrote a treatise , in fix books , on the chords ; and there are extant of ...
... arcs , which must have been a treatise on Trigonometry , and is the first of which history gives any ac- count . Menelaus , about the end of the first century , wrote a treatise , in fix books , on the chords ; and there are extant of ...
Page 24
... arcs , the halves of thefe chords . Thefe lines have been called finus , probably from S. Ins . an abbreviation of the Latin words femiffes infcrip- tarum t . This improvement paved the way to more fimple theorems , of which we shall ...
... arcs , the halves of thefe chords . Thefe lines have been called finus , probably from S. Ins . an abbreviation of the Latin words femiffes infcrip- tarum t . This improvement paved the way to more fimple theorems , of which we shall ...
Page 33
... arc which has the divifor for its fine or tangent . Make the co - fecant or co - tangent found the multiplicand , and the dividend the multiplicator ; or con- verfely . Find the product by the promptuary as above directed . This product ...
... arc which has the divifor for its fine or tangent . Make the co - fecant or co - tangent found the multiplicand , and the dividend the multiplicator ; or con- verfely . Find the product by the promptuary as above directed . This product ...
Page 58
... arcs below 30 ° , he propofes two methods . THE first is this . He multiplies any given fine of an arc lefs than 30 ° by the number 2 , 10 , finding the logarithms of the numbers 2 and and 10 by means of the radical table , or 38 LIFE ...
... arcs below 30 ° , he propofes two methods . THE first is this . He multiplies any given fine of an arc lefs than 30 ° by the number 2 , 10 , finding the logarithms of the numbers 2 and and 10 by means of the radical table , or 38 LIFE ...
Page 59
... arc from the fum of the logarithms of half the radius and of the fine of the whole arc . By this fecond method , which is much eafier than the firft , the lo- garithms of the fines of the arcs below 45 ° may be obtained ; those above 45 ...
... arc from the fum of the logarithms of half the radius and of the fine of the whole arc . By this fecond method , which is much eafier than the firft , the lo- garithms of the fines of the arcs below 45 ° may be obtained ; those above 45 ...
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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,