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

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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.

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.