Trigonometrie. Or, the doctrine of triangles: divided into two books. The first shewing the mensuration of right lined triangles: the second of spherical ... Both performed by that late and excellent invention of logarithms ... Whereunto is annexed (chiefly for the use of sea-men) a treatise of the application thereof in the three principal kinds of sailing. With exact tables of the suns declination ... and tables of the right ascension and declination of some eminent fixed stars ... Also other necessary tables used in navigation / [Richard Norwood].

  • Richard Norwood
Date:
1661
Catalogue details

Licence: Public Domain Mark

Credit: Trigonometrie. Or, the doctrine of triangles: divided into two books. The first shewing the mensuration of right lined triangles: the second of spherical ... Both performed by that late and excellent invention of logarithms ... Whereunto is annexed (chiefly for the use of sea-men) a treatise of the application thereof in the three principal kinds of sailing. With exact tables of the suns declination ... and tables of the right ascension and declination of some eminent fixed stars ... Also other necessary tables used in navigation / [Richard Norwood]. Source: Wellcome Collection.

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    f ae .. ‘ = Pa ae “ i u et TERENAS “ryame a OE aan -~ m > 5. a 2). Sree —_— ——— a the Ansacenes to the Lizard, fhouldar firft thape his cour(e 3 3 deg. 07’ from the meridian to the ealtward, that is.almoft:3 points.of the Compaffe namely, a eby #. Now admit the wind fhould fo ferye that he might come away #.¢ by #, yet itis to-be underftood, that in this kind’of failing, he is not to. continue this courfe long, but to fhift.it as often‘as occafion requires, (till inclining more and more to. the eaft- wards. Which how it may be dosie, we fhall more expreflely fhew hercafter. the other in any latitude given 5 andthe necreft diftance in a great Circle of the fame places being allo known, te find, 1 Their difference of longitude, | 2 The direth pofirion from she firft place.to the [econdy 3 And from the fesand place to the firft. Let the places be the fame as before ; and let there be. given the dif- Firjt, then for the difference of longitude DB, by the 12 Cafe of right angled triangles. de ite ee: The latitude ts A B50, 00’, co- ar. s AB, 0.79193 The necreft diftanceis' AD 66 08 seAD, 9.60702 The differief longitude D Bsr 00 scDB 9.79897 Secondly, for the direct pofition from A to D, by the 13 Cafe. The laundeis . ABsodeg.oo! t AB 10,07619 Lhe neereft diftance + A D°66 os tcAD “9.64586 The pokeax it BAD 58 — It. sc A 9.72205 Thirdly, for the dirett pofition from D to A 5 OF the14 Cafe. The neere/t diffance is AD 66d.,08' cs. ar. s AD. 0.03882 The latitude ts AB 50 oe sAB 9.88425 The pafitian is. compl,-B DA 33 ©7 ‘s BDA 9.92397 Inlike-(ort, if thére were given the Jaticude A B, ard the angle. of by the fecond Gafe,.and the neereft dittance A D by the third Cafe, And thus we might proceed to frame in all 30 queftions touching chefe twa places ; as we have before fhewed in handling right angled Prob], ring to ufe as much brevity, as I may. Se _ —EEEe—eeEe—————————