Salusbury, Thomas
,
Mathematical collections and translations (Tome I)
,
1667
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<
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>SALV. </
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<
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>I will uſe my utmoſt endeavours to render my ſelf
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intelligible, but the difficulty of the accident it ſelf, and the
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great attention of mind requiſite for the comprehending of it,
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conſtrains me to be obſcure. </
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<
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>The unequalities of the additions
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and ſubſtractions, that the diurnal motion maketh to or from
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the annual dependeth upon the inclination of the Axis of the
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urnal motion upon the plane of the Grand Orb, or, if you pleaſe,
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of the Ecliptick; by means of which inclination the Equinoctial
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interſecteth the ſaid Ecliptick, remaining inclined and oblique
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upon the ſame according to the ſaid inclination of Axis. </
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<
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>And the
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quantity of the additions importeth as much as the whole
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ter of the ſaid Equinoctial, the Earths centre being at the ſame
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time in the Solſtitial points; but being out of them it importeth
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leſſe and leſſe, according as the ſaid centre ſucceſſively
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cheth to the points of the Equinoxes, where thoſe additions are
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leſſer than in any other places. </
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<
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>This is the whole buſineſſe, but
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wrapt up in the obſcurity that you ſee.</
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The cauſes of
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the inequality of
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the additions and
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ſubſtractions of the
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diurnal converſion
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from the annual
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motion.
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<
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>SAGR. </
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<
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>Rather in that which I do no not ſee; for hitherto I
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comprehend nothing at all.</
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<
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>SALV. </
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<
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>I have already foretold it. </
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>Nevertheleſſe we will try
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whether by drawing a Diagram thereof, we can give ſome
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ſmall light to the ſame; though indeed it might better be ſet
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forth by ſolid bodies than by bare Schemes; yet we will help our
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ſelves with Perſpective and fore-ſhortning. </
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<
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>Let us draw
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fore, as before, the circumference of the Grand Orb, [
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as in
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Fig.
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4.] in which the point A is underſtood to be one of the
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Solſtitials, and the diameter A P the common Section of the
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Solſtitial Colure, and of the plane of the Grand Orb or
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tick; and in that ſame point A let us ſuppoſe the centre of the
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Terreſtrial Globe to be placed, the Axis of which C A B,
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clined upon the Plane of the Grand Orb, falleth on the plane of
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the ſaid Colure that paſſeth thorow both the Axis of the
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ctial, and of the Ecliptick. </
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<
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>And for to prevent confuſion, let
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us only draw the Equinoctial circle, marking it with theſe
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cters D G E F, the common ſection of which, with the plane of
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the grand Orb, let be the line D E, ſo that half of the ſaid
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quinoctial D F E will remain inclined below the plane of the
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Grand Orb, and the other half D G E elevated above. </
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<
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>Let
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now the Revolution of the ſaid Equinoctial be made, according
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to the order of the points D G E F, and the motion of the
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tre from A towards E. </
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<
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>And becauſe the centre of the Earth
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being in A, the Axis C B (which is erect upon the diameter of
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the Equinoctial D E) falleth, as hath been ſaid, in the
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tial Colure, the common Section of which and of the
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Grand Orb, is the diameter P A, the ſaid line P A ſhall </
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