Harmonicon coeleste: or, the coelestiall harmony of the visible world / conteining, an absolute and entire piece of astronomie. Wherein is succinctly handled the trigonometricall part, generally propounded, and particularly applyed in all questions tending to the diurnall motion. Especially respecting, and truly subservient to the main doctrine of the second motions of the luminaries and the other planets : together with their affections as eclipses &c. Grounded upon the most rationall hypothesis yet constituted, and compared with the best observations that are extant, especially those of Tycho Brahe, and other more modern observators ... By Vincent Wing, philomathemat.

  • Vincent Wing
Date:
1651
Catalogue details

Licence: Public Domain Mark

Credit: Harmonicon coeleste: or, the coelestiall harmony of the visible world / conteining, an absolute and entire piece of astronomie. Wherein is succinctly handled the trigonometricall part, generally propounded, and particularly applyed in all questions tending to the diurnall motion. Especially respecting, and truly subservient to the main doctrine of the second motions of the luminaries and the other planets : together with their affections as eclipses &c. Grounded upon the most rationall hypothesis yet constituted, and compared with the best observations that are extant, especially those of Tycho Brahe, and other more modern observators ... By Vincent Wing, philomathemat. Source: Wellcome Collection.

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    G D. Now therefore by the 3 6 of the 3 — BGi^BD, there¬ fore they are proportionall. ^ ' x r r c ^ , ^ Thefe Foundations being thus laid, the or bufinels of plain Triangles is eafily difpatcht. The Redangular I note with the letter^ A B C A at the nght an¬ gle C at the Cathetus, B at the Bafis, So ihall AB reprefent the Bafe, C A the Cathetus, B C the Hypothenufe, by a neat Artifice. And that thae be no confu ion in the workings, note the things given with this ftroake (!) The QuacTita with three pricks thus in an Angle “33;^ In a- Side foe — Orthogonii Diatypolis: wherein any of the Cafes is joen dtjcovercd” ■ 1 Data. 1 Quyfita. ] Analogia. 1 Sides. Ang.l Sides - ’g- j =v __ 1 2i: CA B A^ R. t B :: B C A R. tC :: CAiBA BC R. sB :: BC C A R. s C :; B C. B a 3 BA Oppofit.)5§g , ] sC. R : BA. Bo s b3'R :; • AC B.G CAIb.AM R., -tC BA.CA :: R.;.;itB ■ ; K ■. Cl . ■ B! B A. B C BC. CA -/V r CC BG-B A : : K. s ^ ; Oppofit-^j^lB^ C A :: R. sB ; 6 f 1 BA. CA 1 \ jB C ' / '«*’>** ^ PupliCi operatiohe pern- citur. • ■ ■ I B A. C A :: jfc t B ^ s8. R ::CA.BC Or in one by theChiliads. Log. B ft X 2 + Log. A C z' It 7 is equal! to the log- of IK . ~ ) ‘ BA. BC - «♦ i-' or BC CA , 1. ■. ■ 1 C A- BA. f It may be performed by a double worke, but Mr. ap. \i ic i -. ft rith. Logarith. demon- fbrates a more artificial! in one by the hiiiads. Log. B A + B C plus. Log. B ^ ~ B A divided by — Log. of ’ A. in