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
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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![| .\. Buthere, after the firft part of this probleme was Wrought, name- Jy, after the, diltance of .the two places E.and D'was. found, the an- gles of pofition.from the one tothe other, might have been more rea- iN . dily found, either of them ata fingle operation, as in this following | probleme. 3 COREE ALI 0S gh it, | Probl. 7, The necreft diftance of two places; with their: difference of alt - Jongitude, and one of their latitudes givens to find the di= mo. reck pofirion thereof froms the other. ‘ o As admit the diftance in a great Circle from the Lizard to Sums- tie mers Ilands, namely, from Eto D, to be as it was before found 1068 4. | Meagues; or 53 deg. 245: and let their difference of longitude E 4 ‘D { : be 70 deg. 00’; and Jet the latitude of the Lizard be so'deg: co’, | a © whofe complement E A 1s 40 deg, Oo’; there is required the direét Fi TY pofition from S#mmers Bands to the Lizard, namely, the angle . ih | AD &. Then doth this: probleme come under the fecond Cafe of: M6 | oblique fphericall Friangles, and is thus refolveds ) 16 ge Arnie ie wild 5 ED 53 deg. 24’, co, ar. 009538 we | to fine their differ .of longit.s DAE 70 CO, + 997293 iy |»: So fine compl. the latitude of 2 4 - , , e cl tty, boone place given, fH E-40 chek 9:¢0807 | vo tbe fineof.thedtrett pofit.«¢_. f’ iA ah Le bin ae BAR i peli é ADE 48/ 48, 9+37643 | hue VVhereas there is a minute difference between the arch before i as | - found, and this; it may arife-by neglecting fome feconds or parts of a 0634 | © yninute in the Work; which here we regard net. ‘= ee ad | 20 In like manner, by the complement ‘of the. other Jatitcude given,.. ott |--.A Dy, we might find-the dire@-pofition fromthe Lizard to Summers’ luis |-*Zlands namely, the angleA ED. ©. | : a Be) © And thus we might proceed to frame many other queftions:in this» iA wy |o Triangle tothe number of 60, crouching the diftance,: difference of mini it | Yongitude, laicudes, and angles-of pcfition of ‘thefe two places which shy will not be hard to him, thacunderftaridech,whas we have before-deli- fet] yered couching oblique {pherical Triangless- - 5 ep | And what hath been faid touching. thefe two-places, the fame tit }-a8to-be conceived of any other two places differing: in is Sawa | tudess](https://iiif.wellcomecollection.org/image/b33479197_0177.jp2/full/800%2C/0/default.jpg)