Page:Mathematical collections and translations, in two tomes - Salusbury (1661).djvu/303

979870

61660

5879220

58792200

97987000

5879220000

24000000

247|6041|87842

1103000000

110000000

And bringing back the Parallax 0 gr. 8 m. 30 sec. to 7 gr. 7 m. whose sine is 204, the star elevateth to 30 semidiameters or thereabouts; therefore the correction of 0 gr. 1 mi. 30 sec. doth not suffice.

20000000

204|6041|87342

1965000000

12000000

Now let us see what correction is requisite for the third working made upon the observations of Hainzelius and Tycho, which rendereth the star about 19 semidiameters high, with the Parallax of 10 m. pri. The usual angles and their sines, and chord found by the Authour, are these next following; and they remove the star (as also in the Authours working) 19 semidiameters from the centre of the Earth. It is necessary therefore for the raising of it, to diminish the Parallax according to the Rule which he likewise observeth in the ninth working. Let us therefore suppose the Parallax to be 6 m. prim. whose sine is 175, and the division being made, there is found likewise lesse than 31 semidiameters for the stars distance. And therefore the correction of 4 min. prim. is too little to serve the Authours purpose.

Angles	$\scriptstyle {\left\{{\begin{matrix}\ \\\\\ \\\ \ \end{matrix}}\right.}$	BAD	007036	Chord	132540
		BDC	195052	Sine	40886
		BCD	000010	Sine	291

13254