Astronomy Explained Upon Sir Isaac Newton's Principles: And made easy to those who have not studied mathematicsFerguson, James
Science
Astronomy Explained Upon Sir Isaac Newton's Principles: And made easy to those who have not studied mathematics
Ferguson, James
Astronomy -- Early works to 1800
376. To draw the parallel of Latitude of any given Place (suppose
_London_) which parallel is the visible Path of the Place On the Disc,
as seen from the Sun, from the time that the Sun rises till it sets;
subtract the Latitude of the Place (_London_) 51-1/2 degrees from 90
degrees, and there remains 38-1/2; which take from the Line of Chords in
your Compasses, and set it from _h_ (where the Universal Meridian _CP_
cuts the periphery of the Semi-disc) to VI and VI; and draw the occult
Line VI_L_VI. Then, on the left hand of the Earth’s Axis, set off the
Chord of the Sun’s Declination 4° 48ʹ 5ʺ § 367, from VI to _D_ and to
_F_; set off the same on the right hand from VI to _E_ and to _G_; and
draw the occult Lines _DsE_ and _F_XII_G_ parallel to VI _L_ VI.
[Sidenote: Situation of the Place on the Disk from Sun-rise to Sun-set.]
377. Bisect _s_ XII in _K_, and through the point _K_ draw the black
Line VI_K_V1 parallel to the occult or dotted Line VI_L_VI. Then, making
_AC_ the Radius or length of a Line of Lines, set off the Sine of 38-1/2
degrees, the Co-Latitude of _London_, from _K_ to VI and VI; and with
that extent as a Radius, describe the Semi-Circle VI 7 8 9 &c. and
divide it into 12 equal parts, beginning at VI. From these divisions,
draw the occult Lines 7_m_, 8_l_, 9_k_, &c. all to the Line VI_K_VI, and
parallel to _C_XII_P_. Then, with _K_XII as a Radius, describe the
Circle _abcdef_, round the Center _K_, and divide the Quadrant _a_XII
into six equal parts, as _ab_, _bc_, _cd_, _de_, &c. Then, through these
points of division _b_, _c_, _d_, _e_, and _f_, draw the occult Lines
VII_b_V, VIII_c_IIII, IX_d_III, &c. intersecting the former Lines 7_m_,
8_l_, 9_k_, 10_i_, &c. in the points VII, VIII, IX, X, XI, &c. which
points mark the situation of _London_ on the Earth’s Disc as seen from
the Sun at these hours respectively, from six in the morning till six at
night: and if the elliptic Curve VI, VII, VIII, &c. be drawn through
these points, it will represent the parallel of _London_, or the path it
seems to describe as viewed from the Sun, from Sun-rise to Sun-set.
_N.B._ When the Sun’s Declination is North, the said Curve is the
diurnal Path of _London_; and the opposite part VI_s_VI is it’s
nocturnal Path behind the Disc, or in the obscure part thereof, § 338,
339. But if the Sun’s Declination had been South, the Curve VI_s_VI
would have been the diurnal path of _London_; in which case the Lines
7_m_, 8_l_, &c. must have been continued thro’ the right Line VI_K_VI,
and their lengths beyond that line determined by dividing the Quadrant
_s a_ of the little Circle _abcd_ into six equal parts, and drawing the
parallels VII_b_, VIII_c_ &c. through that division, in the same manner
as done on the side _K_ XII; and the Curve VII, VIII, IX, &c. would have
been the nocturnal Path. It is requisite to divide the hours of the
diurnal Path into quarters, as in the Diagram; and if possible into
minutes also.
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