An Account of the Life, Writings, and Inventions of John Napier, of Merchiston |
From inside the book
Results 1-5 of 6
Page 97
... spherical trigonome- try . By these theorems all the cafes of rectangular fpherical triangles and all the cafes of oblique fpherical triangles may be refolved , except- ing when the three fides , or the three angles only , are the data ...
... spherical trigonome- try . By these theorems all the cafes of rectangular fpherical triangles and all the cafes of oblique fpherical triangles may be refolved , except- ing when the three fides , or the three angles only , are the data ...
Page 102
... spherical triangles , for which the former of itself is infufficient , may be thus expreffed : Of the circular parts of an oblique fpherical triangle , the rectangle under the tangents of half the fum and half the difference of the ...
... spherical triangles , for which the former of itself is infufficient , may be thus expreffed : Of the circular parts of an oblique fpherical triangle , the rectangle under the tangents of half the fum and half the difference of the ...
Page 116
... spherical triangles the cofine of the hy- pothenufe is to the cotangent of one of the oblique angles as the cotan- gent of the other is to the radius . 2 ( 9 ) Lem . 8. In right angled spherical triangles the cofine of the hy- pothenufe ...
... spherical triangles the cofine of the hy- pothenufe is to the cotangent of one of the oblique angles as the cotan- gent of the other is to the radius . 2 ( 9 ) Lem . 8. In right angled spherical triangles the cofine of the hy- pothenufe ...
Page 119
... oblique , the remote part we fhall call m , and the fegments at a fide or ... spherical triangle , the fines of the fegments of one of its fides ... spherical triangle , the cofines of any two fides are proportional to the cofines of the ...
... oblique , the remote part we fhall call m , and the fegments at a fide or ... spherical triangle , the fines of the fegments of one of its fides ... spherical triangle , the cofines of any two fides are proportional to the cofines of the ...
Page 120
... spherical triangles , and for the folution of all poffible cafes of oblique fpherical triangles ( by means of the arc drawn from one of its angles perpendicular on the oppofite fide ) ; ex- cepting when the three angles , or the three ...
... spherical triangles , and for the folution of all poffible cafes of oblique fpherical triangles ( by means of the arc drawn from one of its angles perpendicular on the oppofite fide ) ; ex- cepting when the three angles , or the three ...
Other editions - View all
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,