Selected quad for the lemma: heaven_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
heaven_n	east_n	motion_n	west_n	1,864	5	9.5519	5	false

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ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A16236	The theoriques of the seuen planets shewing all their diuerse motions, and all other accidents, called passions, thereunto belonging. Now more plainly set forth in our mother tongue by M. Blundeuile, than euer they haue been heretofore in any other tongue whatsoeuer, and that with such pleasant demonstratiue figures, as euery man that hath any skill in arithmeticke, may easily vnderstand the same. ... VVhereunto is added by the said Master Blundeuile, a breefe extract by him made, of Maginus his Theoriques, for the better vnderstanding of the Prutenicall tables, to calculate thereby the diuerse motions of the seuen planets. There is also hereto added, The making, description, and vse, of two most ingenious and necessarie instruments for sea-men ... First inuented by M. Doctor Gilbert ... and now here plainely set downe in our mother tongue by Master Blundeuile.	Blundeville, Thomas, fl. 1561.; Magini, Giovanni Antonio, 1555-1617. aut; Gilbert, William, 1540-1603. Making, description and use of two most ingenious and necessarie instruments for seamen. aut; Wright, Edward, 1540-1603. aut	1602 (1602)	STC 3160; ESTC S117447	145,552	301

the earth to be greater as to be 170 semidiameters of the earth then the semidiameter of the shaddow the Moone being in Transit● will contain two semidiameters of the earth and so the shaddow shall be Calathoidall that is to say like a cup or top extending together with his length in breadth and widenesse more and more infinitely All which three shapes of shaddows are before plainely set forth in their figures By this Ptolomey doth proue that the distance of the Sun from the centre of the earth containeth 1270 semidiameters of the earth and that the semidiameter of the Suns bodie containeth fiue such semidiameters and a halfe as the earth hath and that the diameter of the Sun to the diameter of the earth is in such proportion as is 11 to 2. Finally he proueth the axletree of the shaddow to contain 268 such semidiameters as the earth hath Wherefore according to the opinion of Ptol●mey the excentricitie of the Sunne should containe 48 semidiameters of the earth and almost one fourth part Now by knowing the diameters of the three bodies it is easie to find out their proportions for by the last proposition of Euclide his twelfth booke looke what proportion is betwixt the diameters of any two spheres the same proportion beeing tripled is the proportion betwixt the said two spheres And therefore because the diameter of the Sunne is to the diameter of the earth in like proportion as 11 is to 2 the same proportion being tripled shall be 1331 to 8 so as the body of the Sunne doth containe the body of the earth 166 times and almost one halfe In like maner you shall find the bodie of the Moone to be almost the 40 part of the body of the earth for the diameter of the earth to the diameter of the Moon is in such proportion as is 17 to 5 so as the body of the earth containeth the body of the Moone almost 40 times as was said before And the body of the Sunne containeth the bodie of the Moone almost 6600 times The proportions of which three bodies are these numbers here following that is to say for the Sunne 6539203 and for the Earth 39304 and for the Moone 1000. A breefe Extract of Maginus his Theoriques shewing all the definitions of such names and motions as are needfull to be knowne for the calculating of the places of any of the seuen Planets or other motions of any Heauen whatsoeuer that are to be found out by the Prutenicall Tables TO auoid the Paradoxicall supposition of Copernicus supposing the Earth to mooue and the Sunne to stand still in the middest of heauen Maginus is fain to suppose that there be three mouable heauens aboue the eight heauen and so maketh in all eleuen mouable heauens which is one more than all the other Astronomers haue heretofore set downe And he calleth the highest or eleuenth heauen the first mouable describing the same as hereafter followeth next to which is placed in his Theoriques the tenth heauen then the ninth and eight heauen and vnder that the seuen Planets that is first Saturne then Iupiter Mars Sol Venus Mercurie and Luna which is the lowest heauen of all Of which his Theoriques I thought good to make a breefe Extract because that more tearmes belonging to the Prutenicall Tables are therein both defined and demonstrated than are set downe either by Purbachius or by Mes●elyn in their Theoriques And according to the number of this eleuen Heauens I haue deuided this Extract into 11 chapters CHAP. I. The description of the eleuenth Heauen or first mouable together with such definitions as are contained therein THe first mouable is the greatest or highest heauen which carieth all the inferior heauens round about from East to West in 24 houres The concaue superficies whereof is imagined to be traced with certaine circles whereof some be greater and some lesser 2. The greater circles cheefely seruing for our purpose are these the Aequinoctiall the Eclipticke and the two Colures the one called the Colure of the Equinoxes and the other the Colure of the Solstices 3. The Aequinoctiall is a great circle supposed to be in the convex superficies of the first mouable deuiding the same superficies into two equall parts the poles of which circle are the poles of the world vpon which poles the said first mouable continually mooueth making his reuolution in 24 houres 4. The Eclipticke of the first mouable is also a great circle deuiding the superficies thereof into two equall parts cutteth the Aequinoctiall in two opposit points which points are called the Equinoxes one of them being called the Vernall Equinox and the other the Autumnall Equinox and the poles of this Eclipticke are alwaies distant from the poles of the world 23 degrees i40· and doe neuer alter And this Eclipticke is called the meane Eclipticke 5. The Colure of the Equinoxes is a great circle passing through the two Equinoxes and the two poles of the world 6. The Colure of the Solstices is also a great circle deuiding the superficies of the first moouable into two equall parts and is drawne both through the poles of the world and also through the poles of the meane Eclipticke CHAP. II. Of the tenth Heauen THe tenth Heauen is a great Orbe next vnto the first mouable hauing contrarie motion to the first moouable that is from West to East vpon the poles of the Eclipticke of the first moouable or meane Eclipticke and maketh his reuolution in 3434 Aegyptian yeares and 10 daies In which imagine the letter A to be the pole of the meane Eclipticke of the first moouable and also the pole of the tenth heauen about which pole the tenth sphere maketh his reuolution in 3434 Aegyptian yeares and 10 daies And vpon the point A imagine also a lesser circle to be drawne whose semidiameter is A B containing in length i●° and imagine the same lesser circle to be the circle B D F in the circumference whereof suppose the centre of another lesser circle equall to that to be placed in the point D and let the semidiameter of the said second lesser circle be D E containing in length i6· the centre of which second circle viz. D you must suppose neuer to change his place but to mooue about the pole A as the tenth heauen mooueth about the same pole A. And so likewise suppose the second little circle A H E to be fastened to the first so as the said second circle hath no other motion but that which the centre D hath and imagine the right perpendicular line C G to be part of the Solisticiall colure of the first mouable which Colure the circumference of the second little circle A H E will cut in some one point or other as in the point H the place of which intersection wheresoeuer that happeneth vpon the line C G is the pole of the Eclipticke of the tenth heauen whose pole doth continually alter his place and therefore the place of

the Eclipticke of the said tenth heauen must needs alter being sometimes farre from the meane Eclipticke and sometimes neare vnto it and sometimes vnited therewith But the greatest distance that can be betwixt the two Ecliptickes is i12· according to the greatest distance which is betwixt the poles of the Eclipticke the poles of the first moouable for the poles of the Eclipticke of the tenth heauen can neuer exceed i12· and the Ecliptick of this tenth heauen is called the true Eclipticke whose poles doe differ from the poles of the meane Eclipticke i12· as haue been said before 3. And such distance is called the equacion of the obliquitie of the Eclipticke which the former figure doth plainely demonstrate for the letter A is supposed to be the pole of the meane Eclipticke and H the pole of the true Eclipticke and this equacion of the obliquitie is to be found in the 16 Cannon of the Prutenicall tables by helpe of which equacion or Prosthapherisis you may find at any time the obliquitie of the true Eclipticke as is taught in the 13 precept of the said tables But now because the said Prosthapherisis cannot bee found but by the Anomalia of the obliquitie you are to know first what that Anomalia is which the foresaid figure dooth also shew In which figure you must suppose the right line A E to be the diameter of the second lesser circle the one end whereof is alwaies fixed in the point A and the other end marked with E by the motion of the tenth heauen describeth the great circle C E G. 4. And this circle is called the circle of Anomalia of the obliquitie of the true Eclipticke 5. And the arch or portion of this circle marked with the letters C E is the Anomalia of the obliquitie of the true Eclipticke the motion of which Anomalia you shall find at any time by the Prutenicall tables in the 14 Cannon vnder the title Anomalia Aequinoctiorum in such order as the eight precept teacheth CHAP. III. Of the ninth Heauen THe ninth Heauen is a sphere situated next and immediatly vnder the tenth heauen the motion of which ninth sphere is from North to South vpon his proper poles which are fixed in the two Aequinoctiall points called the true Aequinoctiall points of the tenth heauen about which poles he maketh his reuolution in 1717 Aegyptian yeares and 5 daies In this sphere are imagined certaine circles both greater and lesser to be drawne as in the former two heauens but the greater circles whereof we shall haue most vse are these that is the Eclipticke and the Aequinoctiall 2. The Eclipticke of this ninth sphere is alwaies in the plane of the Eclipticke of the tenth sphere and therfore doth not differ from the true Eclipticke because it neuer swarueth from the same but the Aequinoctiall line of this ninth sphere is mouable according as the two Aequinoctiall points in which it crosseth the true Eclipticke are moouable being caried both backward and forward and sometimes are conjoined together with the Aequinoctiall points of the tenth heauen and sometimes againe are remooued from the said true Aequinoctiall points of the tenth sphere and the greatest distance that the said two points can haue from the Aequinoctiall points of the tenth sphere is 1 degree i12· ii22· iii30· IN which the point A signifieth the Vernall Aequinoctiall point as well of the tenth heauen as of the first mouable which point we will hereafter call the true vernall Aequinox in which point one of the poles of the ninth sphere is supposed to be fixed and the other pole is in the opposit point which is the true Autumnall Aequinoctiall point Now vpon the centre A imagine a little circle to be drawne whose semidiameter is A B containing in length vpon the superficies of the said ninth sphere i●5· ii41· iii15· and in the same convex superficies imagine a second little circle to be drawne equall vnto the former the centre of which second circle is in the circumference of the first little circle viz. in the point C the semidiameter whereof is C D containing in length i35· ii41· ii15· so shall the whole diameter A D containe in length 1 degree i11· ii22· iii30· and suppose the right line K G to be the true Eclipticke and the right ouerthwart line I F to be the AEquinoctiall line of the tenth heauen and also of the first mouable Now the circumference of the second little circle wil crosse the true Eclipticke K G in some one point or other as in the point E which point of Intersection wheresoeuer it happeneth to be is the place of the Vernall Aequinoctiall point of the ninth sphere which Vernall Aequinoctiall point we will henceforth call the meane Equinox as the point A is the true Equinox So that hereby you may perceiue that the meane Equinox is nothing els but that point in which the Aequinoctiall line of the ninth sphere crosseth the Eclipticke line of the said ninth sphere or true Eclipticke 3. The Prosthapheresis of the Equinox is the distance which is betwixt the true and meane Equinox as is the line A E and this Prosthapheresis you shall find in the 16 Cannon vnder the title Praecessionis Aequinoctiorum the manner of finding whereof is taught in the 10 Precept But because the said Prosthapheresis cannot bee found but by helpe of the Anomalia of the Equinox 4. I will therefore shew what the said Anomalia of the Equinox is For the vnderstanding whereof resort to the former figure in which you see how the tip or extreame point of the diameter of the second circle viz. the point D describeth by his motion that is by the motion of the ninth sphere the circle D F G H I K L which circle is called the circle of Anomalia wherein the motion of the Anomalia is alwaies reckoned and the distance betwixt the point L and the point D is the Anomalia of the Equinox it selfe and is alwaies double vnto the Anomalia of the obliquitie of the true Eclipticke and therefore we vse to doe no more but to double the Anomalia of the said obliquitie otherwise called the simple Anomalia which is to be found by the 14 Cannon vnder the title Anomalia Aequinoctiorum in such order as the eight Precept teacheth CHAP. IIII. Of the eight Heauen 1. THe eight Heauen is situated vnder the ninth Heauen and moueth from West to East contrarie to the motion of the first moouable vpon the poles of the true Eclipticke making his reuolution in 25816 Aegyptian yeares and dependeth wholly vpon the meane Equinox 2. In this sphere are imagined also an Aequinoctiall and an Ecliptick line and the Ecliptick line of this Heauen is alwaies in the same plane with the Ecliptick of the 9 and 10 Heauens and swarueth not from the true Ecliptick at all But the Aequinoctiall points of this sphere do moue from the true Equinoxes sometimes forward and sometimes times backward

euen as the meane Equinox of the ninth sphere moueth 3. This sphere is apparent to the eye by reason of the multitude of starres which are therein the moouing of all which starres and all other the inferior lights is accounted or reckoned from the first starre of the Rams horne as from a visible beginning although the same be vnstable by reason of the changeable moouing of the Precession of the meane Vernall Equinox As for example suppose in this figure the line K G to be the true Eclipticke and I F to be the Aequinoctiall of the first moouable crossing one another in the point A which representeth the true Equinox vnto which point when the Sunne commeth it is Equinox throughout all the world and suppose M to be the first star of the Rams horn through which a right perpendicular line passeth signifying a great circle drawne through the first starre of the Rams horne also through the poles of the true Eclipticke and suppose L H to be another great circle drawne through the true Aequinoctiall point A and through the poles of the true Eclipticke so shall M A be the true Precession of the Vernall Equinox In like manner suppose the line D E to bee another great circle passing through the point E signifying the meane Equinox and also through the poles of the true Eclipticke so as the arch of the true Eclipticke which is comprehended betwixt M and E is the meane Precession of the vernall Equinox And this meane Precession is readily found by the 14 Cannon as the 8 Precept teacheth and the title thereof in the said 14 Cannon is Praecessionis Aequinoctiorum But the true Precession is to be found by helpe of the Prosthapheresis which was defined in the third definition of the third chapter And although that there be many other circles both great and little which the Astronomers vse as the circles of Positions Azimuths and many others yet will I only speake of such circles arches and points in the Heauen as are belonging to our present purpose because I haue spoken of the others in my sphere shewing what is the longitude latitude and declination of any star or point in this Heauen 5. The longitude of any starre is an arch of the Eclipticke comprehended betwixt the true Vernall Equinox and the circle of latitude of the said starre or point 6. The circle of latitude is a great circle passing through the poles of the true Eclipticke and the centre of the starre Of which circle that part which is betwixt the centre of the starre and the true Eclipticke is called the latitude of the starre 7. The circle of declination is a great circle passi●g through the poles of the world and through the centre of any starre or other point in the firmament and that part of this circle which is contained betwixt the said starre and the true Aequinoctiall line is called the declination of the starre CHAP. V. Of the seuenth Heauen that is the heauen of Saturne 1. THe seuenth Heauen is situated next vnder the eight Heauen or Sphere and mooueth from West to East and is onely proper to Saturne which is the highest Planet whose orbes and motions thereof this figure here following doth plainely shew ¶ The first figure belonging to the Theorique of Saturne together with the description thereof In this figure consisting of certain circles right lines you see that the three outermost great circles drawn vpon the p●int A signifying the centre of the world do enclose two w●●●te seuerall spaces and in each space are set down the caracters of the 12 signes of which two spaces the outermost representeth the Eclipticke both of the 10 and 9 Heauen the beginning of which Ecliptick is marked on the right hand with the letter D signifying the true Vernall Equinox and the next space vnder that representeth the Eclipticke of the eight Heauen whose beginning is marked with a little starre ●ignifying the first starre of the Rams horne 2. And the two blacke orbes doe represent the deferents of the Auge which Auge is marked with the letter I the opposit Auge with the letter R which deferents doe moue regularly and doe make their reuolution in 35333 Aegyptian yeares and betwixt the two balcke orbes is another white orbe signifying the orbe Excentrique drawne vpon his owne centre marked with the letter B in the middest of which broad white circle is another circle described by the centre of the Epicicle marked with the letter E vpon which point E is drawne a little circle signifying the Epicicle it selfe which carrieth the body of the Planet in the circumference wherof is a little starre representing the body of Saturne You see also that there is another circle which crosseth the foresaid middle circle of the Excentrique in two points opposit drawne vpon his owne centre marked with C and is called the circle Equant The motions of which circles and also the significations of the right lines and arches in this figure contained are by helpe of the letters hereafter declared for the right line which is drawne from the point A vnto the point I and so foorth to the Eclipticke is called the line of Auge and the point or degree of the Eclipticke into which the line of the Auge falleth is called the place of the Auge which for example sake suppose to be in the first point of Gemini marked with the letter F. And the arch comprehended betwixt the point F and the first starre of the Rams horne signified by the little starre set downe on the right hand in the true Eclipticke is called the meane motion of the Auge And the right line A B is called the excentricitie of the Excentrique containing in length 3 degrees i25· and the right line A C is the excentricitie of the circle Equant containing in length 6 degrees i50· 3. The Auge is that point in the superficies of the Excentrique which is furthest distant from the centre of the world marked with the letter 1. But the opposit Auge is that point in the superficies of the said Excentrique which is nearest vnto the centre of the world marked with the letter R. 4. The place of each point is shewed by a right line drawne through the centre of the world also through the Auge of the Excentrique vnto the Zodiake of the eight Heauen marked with the caracters of the twelue signes and the line so drawne is called the line of Auge 5. The meane motion of the Auge is an arch of the Eclipticke proceeding from the first starre of the Rams horne vnto the place of the Auge and is found in such order as is shewed in the eight Precept by helpe of the 13 and 14 Cannons in that Colume whose title is Apogaea Saturni 6. But the true motion of the Auge is an arch of the Eclipticke beginning at the true Vernall Equinox and ending at the place of the Auge the manner how to find the

which were set downe in the heauen of Saturne but only in the time of their motions in the quantitie of some arches for the deferents of the Auge and opposit Auge in the heauen of Iupiter doe make their reuolution in 109756 Aegyptian yeares And the Excentrique of this Heauen maketh his reuolution in 11 Aegyptian years 318 daies and one houre almost And the excentricitie of the Excentrique of Iupiter is 2 degrees i45· and the excentricitie of the circle Equant is 5 degrees i30· The Epicicle of this Heauen maketh his reuolution in 398 dayes 21 houres i13· ii15· iii●●° and the daily motion thereof is i54· ii9· iii4· The greatest equacion of the centre which belongeth vnto Iupiter is 5 degrees i13· ii59· and that is when the centre of the Epicicle is distant from the true Auge of the Excentrique 93 degrees whether it be according or contrarie to the succession of the signes And the greatest equacion of the Argument when the centre of the Epicicle is in the Auge of the Excentrique is 10 degrees i30· ii9· and then the distance of the Planet from the true Auge of his Epicicle is 100 degrees i30 almost And the greatest equacion of the said Argument when the Epicicle is in the opposit Auge of the Excentrique is 11 degrees i31· ii2●° then the Planet is distant from the true Auge of the Epicicle 102 degrees almost The equall or meane moouing of Iupiters longitude from the first starre of the Rams horne is daily i4· ii59· iii8· and the yearely motion thereof is 30 degrees i19· ii4●° iii6· maketh one entire reuolution in 11 Aegyptian years 214 dayes 21 houres i16· ii24· The rest of the lines and arches belonging to this Planet are defined in the former fift Chapter and the finding of all such things as are needfull for that purpose are set downe in the said fift Chapter differing nothing from the manner which was therein shewed except it bee in the number of the Cannon which for Saturne was the 19 and for this Planet it is the 20 Cannon CHAP. VII Of the fift Heauen or Heauen of Mars THe fift Heauen belonging to Mars hath like number of orbes as hath the Heauen of Saturne and the said orbes are placed euen as they were in Saturne And therefore I shall not need to make any perticular relation of the orbes or lines of this sphere but to referre you to the fift Chapter shewing only here the difference of the motions The deferents of the Auge in the Heauen of Mars doe make their reuolution in 45088 Aegyptian yeares so as their daily motion is iii4· iiii43· and their yearely motion is ii28· iii44· iiii37· The Excentrique of this Heauen maketh his reuolution in one yeare and 322 daies almost so as his daily motion is i31· ii26· iii26· iiii15· and the yearely motion therof is 191 degrees i15· ii49· iii44· iiii3· The Epicicle of this Heauen maketh his reuolution in 2 yeares 49 dayes 19 houres i43· and the daily motion thereof is i27· ii41· iii40· and his yearely motion is 168 degrees i2●° ii30· iii42· The greatest equacion of the centre belonging vnto Mars is 11 degrees i5· ii59· and that is when the centre of his Epicicle is distant from the true Auge of the Excentrique 95 degrees and i30· be it according or contrarie to the succession of the signes The greatest equacion of the argument when the centre of the Epicicle is in the Auge of the Excentrique is 36 degrees i54· ii18· and then the distance of the Planet from the true Auge of his epicicle is 127 degrees almost And the greatest equacion of the Argument when the centre of the Epicicle is in the opposit Auge of his Excentrique is 46 degrees i38· ii4· and that is when the Planet is distant from the Auge of the Epicicle 137 deg The meane mouing of the longitude of Mars is euery day i31· ii26· iii31· and the yearely motion thereof is 191 i16· ii18· iii29· and maketh one entire reuolution in one yeare 321 dayes 23 houres i32· All other lines and arches belonging to Mars are defined in the fift Chapter and the Cannon seruing for the finding of them and their places is the 21 Cannon in number CHAP. VIII Of the fourth Heauen or Heauen of the Sunne THe next Heauen vnder that of Mars is the Heauen of the Sunne and hath his proper and peculiar motion from West to East This Heauen consisteth of fiue orbes wherof two are called the deferents of the meane Auge of the Suns Excentrique the other two orbes are called the deferents of the true Auge of his Excentrique or the orbes of the Anomalia of the true Auge and of the excentricitie of the Sunne The fift Orbe is called the deferent of the body of the Sunne All which you may euidently see in the figure following ¶ The first figure belonging to the Theorique of the Sunne IN which figure the outermost broad circle in which are set the caracters of the 12 signes signifieth the Eclipticke of the eight Heauen the centre whereof is marked with the letter A which signifieth the centre of the world Next vnto this Eclipticke is one of the deferents of the meane Auge signified by the outermost blacke orbe the centre of whose convex superficies is the point A and the centre of his concaue superficies is the point B the other deferent of the said meane Auge is the lesser broad blacke circle the centre of whose convex superficies is the point B and the centre of his concaue superficies is the point A. And betwixt the blacke orbes are two shaddowed orbes which are the deferents of the Sunnes Excentrique and the convex superficies of the outermost of these two shaddowed orbes as also the concaue superficies of the lower of them haue for their centre the point B and the concaue superficies of the higher and convex superficies of the lower haue the point C for their centre Betwixt which two orbes is the Excentrique of the Sunne which Excentrique is signified by the broad white circle in the middle of which white circle is drawne a circle in which the centre of the Sunne is continually moued and the centre of the Excentrique is marked with the letter C which point is called the moouable centre of the Excentrique by whose motion is described the little circle in the middle of the figure the centre of which circle is the point B. 1. The deferents of the meane Auge of the Sunne are two orbes of vnequall thicknesse being in some respect concentricall with the Eclipticke and in another respect excentricall for the convex superficies of the higher and the concaue superficies of the lower haue for their centre the centre of the world marked with A but the concaue superficies of the higher and convex superficies of the lower haue a centre differing from the centre of the world and

equated Argument of the Sunne For the difference betwixt the mean and true Arguments of the Sunne is also the difference which is betwixt the meane and true Auge of the Excentrique which difference is called the equacion of the centre before defined in the 17 definition of this Chapter The manner of equating the Argument is taught in the 15 Precept 19. The equall simple mouing of the Sunne is an arch of the Ecliptick beginning at the first starre of the Rams horne and ending at the line of the Imaginarie motion which line we call hereafter the line of the meane moouing of the Sunne as in the foresaid second figure of this Chapter the arch * N is the equall simple moouing of the Sunne The quantitie of which simple moouing is i59· ii8· iii1●° iiii22· euery day and according to this motion the Sunne maketh one entire reuolution in 365 dayes 6 houres i9· ii39· 20. The equall compound mouing of the Sunne is an arch of the Eclipticke beginning at the meane vernall Equinox and ending at the line of the meane moouing of the Sunne Whereby it appeareth that if the meane Precession of the Equinox be added vnto the equall simple motion of the Sunne the summe of that addition will be the compound motion of the Sun And the daily compound motion is i●●° ii8· iii19· iiii13· whereby the Sunne according to the equall compound motion maketh his reuolution in 365 dayes 5 houres i49· ii16· The manner of finding of these two equall motions of the Sun that is to say the simple and compound moouing is taught in the 8 Precept by helpe of the 13 and 14 Cannons 21. The true motion of the Sunne is an arch of the Eclipticke beginning at the first star of the Rams horne and ending at the true place of the Sunne and then is the said true motion called the true mouing of the Sun vnder the 8 sphere But sometimes the said arch of true motion is supposed to begin at the true Vernall Equinox and then it is called the true motion of the Sunne vnder the first mouable 22. The proportionall minutes are the 60 parts wherby the equacions of the Argument doe encrease or decrease according as the excentricitie of the Sun encreaseth or decreaseth The finding of which proportionall minutes is taught in the fifteenth Precept and are set downe in the seuenteenth Cannon in the Collum whose title is Scrupula Proportionalia 23. The equacion of the Argument or yearely Prosthapheresis is an arch of the Eclipticke which is comprehended betwixt the line of the meane moouing and the line of the true mouing of the Sun And this equacion of the Argument is nothing when the Sunne is either in the Auge or in the opposit Auge of the Excentrique and is alwaies greatest in the meane longitudes of the Sunne which meane longitudes are pointed out in the circumference of the Excentrique by a right line drawne perpendicularly vpon the line of the true Auge through the centre of the world As in the foresaid second figure of this Chapter the line A D is the line of the true Auge of the Excentrique which another line crosseth with right angles in the point A which perpendicular line is the line T V and beeing produced vnto the Excentrique sheweth the points T and V to be the points of meane longitudes And the greatest equacion of the Argument that can be which is when the centre of the Excentrique is in the Auge of the little circle is two degrees i23· ii24· and that is when the Sun is distant from the true Auge or from the Auge of the Excentrique 93 degrees But when the centre of the Excentrique is in the opposit Auge of the said little circle then is the greatest equacion of the Argument no more but 1 degree i50· ii41· and that is when the distance of the Sunne from the true Auge is 92 degrees And this equacion is called in the tables The equacion of the orbe the finding whereof is taught in the 15 Precept by helpe of the 17 Cannon in the Collum whose title is Orbis 24. The true argument of the Sunne is the distance of the Sunne from the true Auge of his Excentrique 25. The excesse or diuersitie of the diameter is an arch of the Eclipticke whereby the equacion of the argument the centre of the Excentrique being in the Auge of the little circle exceedeth the equacion of the argument when the centre of the Excentrique is in the opposit Auge of the little circle The true argument of the Sunne being of one selfe quantitie in each position of the centre of the Excentrique in the circumference of the little circle For the equacions of the argument doe decrease continually so long as the centre of the Excentrique is descending from the Auge of the little circle vntill it come to the opposit Auge of the said litle circle and from thence do begin againe to encrease vntill the centre of the Excentrique returneth again vnto the Auge of the little circle The finding of which Excesse is taught in the 15 Precept and is set downe in the 17 Cannon in that Colume whose title is Excessus 26. The coequated and true equacion which is otherwise called the absolute equacion of the orbe is an arch compounded of the true equacion of the argument and of the excesse proportionable vnto the proportionall minutes CHAP. IX Of the third Heauen or Heauen of Venus THe next Heauen vnder that of the Sunne is the Heauen of Venus which hath his proper mouing from West to East This Heauen hath foure orbes as the Heauen of the three higher Planets haue that is to say two which are called the deferents of the two Auges then the Orbe Excentrique or the deferent of the Epicicle and the Epicicle it selfe in the circumference whereof the Planet is alwayes carried And because I haue defined the said orbes in the fift Chapter I thinke them needlesse to be here againe repeated and therefore I referre you to that Chapter For the Orbes of Venus doe not differ from the Orbes of Saturne in shape and position but onely in the quantitie of their motions The deferents of the Auge and opposit Auge in the Heauen of Venus do continue without any motion and the place of her Auge which is in the Eclipticke of the eight Heauen is alwaies 48 degrees i21· reckoning from the first starre of the Rams horne and the opposit Auge is alwaies 3 Sex 48 degrees i21· from the first starre of the Rams horne accounting the said distance according to the succession of the signes The Excentrique of Venus mooueth according to the succession of the signes vpon his proper centre which is differing from the centre of the world and the poles and axletree of this Orbe are moouable sometimes approching neare vnto the poles of the Eclipticke and at other times are further off Howbeit this Excentrique maketh one entire reuolution