1. The latitude and longitude of a place being given to lay it down on the skeleton map

2. The latitude and longitude of a place being given, to find it on a map, on a plain, or Mercator's projec

tion

3. To find the latitude or longitude of a place, on a plain on Mercator's chart or map, or on a map on a glotular projection

4. To find the distances between two places on a map. 5. The difference of longitude between any two places being given, to find the difference of time at any given hour

Performed by the Terrestrial Globe.

1. To find the latitude of any place

2. To find all those places which have the same latitude, as any given place

4. To find all those places which have the same longi

3. To find the longitude of any place

tude, as a given place

5. To find the latitude and longitude of any place

6. To find any place on the globe, having the latitude and longitude of the place given

7. To find the difference of latitude between any two places

8. To find the difference of longitude between any two
places

9. To find the distance between any two places
10. Given the latitude of a place, and its distance from
a given place, to find that place whereof the latitude
is given

ib.

92.

11. Given the longitude of a place and its distance from a given place, to find that place whereof the longitude is given

12. To find how many miles make a degree of longitude
in any given parallel of latitude

13. To find the bearing of one place from another
14. To find the antoci, pericci, and antipodes of any
place

15. To find at what rate per hour the inhabitants of any
given place are carried, from west to east, by the
revolution of the earth on its axis

16. A particular place and the hour of the day at that
place being given, to find what hour it is at any
other place
17. A particular place and the hour of the day being
given, to find all places on the globe where it is
then noon, or any other given hour
18. To find the sun's longitude (commonly called the
sun's place in the ecliptic) and his declination
19. The month and day of the month being given, to
find all places of the earth where the sun is verti-
cal on that day; those places where the sun does
not set, and those places where he does not rise on
the given day

20. A place being given in the torrid zone, to find those
two days of the year on which the sun will be ver-
tical at that place

93

95

:

96

97

99

ib.

21. The month and the day of the month being given
(at any place not in the frigid zones,) to find what
other day of the year is of the same length
22. The month, day, and hour of the day being given,
to find where the sun is vertical at that instant
23. The month, day, and hour of the day at any place
being given, to find all those places of the earth
where the sun is rising, those places where the sun
is setting, those places that have noon, that partic-
ular place where the sun is vertical, those places
that have morning twilight, and those places that

101

102

103

105

107

ib.

110

111

114

have evening twilight, and those places that have midnight 24. To find the time of the sun's rising and setting, and the length of the day and night at any place 25. The length of the day at any place being given, to find the sun's declination, and the day of the month 115 26. To find the length of the longest day at any place in the north frigid zone

27. To find the length of the longest night at any place in the north frigid zone

rises and

28. To find the number of days in which the sun ris
sets at any place in the north frigid zone
29. To find in what degree of north latitude, on any day
between the 21st of March and the 21st of June, or
in what degree of south latitude, on any day be-
tween the 23d of September and the 21st of Decem-
ber, the sun begins to shine constantly without
setting; and also in what latitude in the opposite
hemisphere he begins to be totally absent

116

117

118

119

30. Any number of days not exceeding 182, being given,
to find the parallel of north latitude in which the
sun does not set for that time
31. To find the beginning, end, and duration of twilight
at any place, on any given day

120

121

32. To find the beginning, end, and duration of constant day or twilight at any place

122

123

33. To find the duration of twilight at the north pole 34. To find the sun's meridian altitude at any time of the year at any given place

35. When it is midnight at any place in the temperate or torrid zones, to find the sun's altitude at any place (on the same meridian) in the north frigid zone, where the sun does not descend below the horizon

36. To find the sun's amplitude at any place
37. To find the sun's azimuth and his altitude at any
place, the day and hour being given

38. The latitude of the place, day of the month, and the sun's altitude being given, to find the sun's azimuth and the hour of the day

39. Given the latitude of the place, and the day of the month, to find at what time the sun is due east or west

124

ib.

40. Given the sun's meridian altitude, and the day of
the month, to find the latitude of the place.
41. The length of the longest day at any place, not
within the polar circles being given, to find the
latitude of that place

ib.

130

42. To find the sun's right ascension, oblique ascension, oblique descension, ascensional difference, and time of rising and setting at any place 43. Given the day of the month, and the sun's amplitude, to find the latitude of the place of observation 132 44. The day and hour being given when a solar eclipse will happen, to find where it will be visible. 45. The day and hour being given when a lunar eclipse will happen, to find where it will be visible.

46. To explain the phenomenon of the harvest moon
47. The day and hour of an eclipse of any one of the
satellites of Jupiter being given, to find upon the
globe all those places where it will be visible.

Performed by the Celestial Globe.

48. To find the right ascension and declination of the

sun, or a star

49. To find the latitude and longitude of a star
50. The right ascension and descension of a star, the
moon, a planet, or of a comet, being given, to find
its place on the globe

51. The latitude and longitude of the moon, a star, or a
a planet, given, to find its place on the globe
52. The day and hour, and the latitude of a place being
given, to find what stars are rising, setting, culmin-
ating, &c.

133

134

135

137

140

141

ib.

53. The latitude of a place, day of the month, and hour
being given, to place the globe in such a manner as
to represent the heavens at that time; in order to
find out the relative situations and names of the
constellations and remarkable stars

54. To find when any star, or planet, will rise, come to
the meridian, and set at any given place
55. To find the amplitude of any star, its oblique as-
cension and descension, and its diurnal arch, for any
given day
56. The latitude of a place given, to find the time of
the year at which any known star rises or sets
achronically, that is, when it rises or sets at sun
setting

142

143

144

145

146

147

57. The latitude of a place given, to find the time of the year at which any known star rises or sets cosmically; that is, when it rises or sets at sun rising 148 58. To find the time of the year when any given star rises or sets heliacally

59. To illustrate the precession of the equinoxes
60. To find the distances of the stars from each other

in degrees

61. To find what stars lie in or near the moon's path, or what stars the moon can eclipse, or make a near approach to

62. Given the latitude of the place and day of the month,
to find what planets will be above the horizon after
sun setting

63. Given the latitude of the place, day of the month,
and hour of the night and morning, to find what
planets will be visible at that hour
64. The latitude of the place and day of the month
given, to find how long Venus rises before the sun
when she is a morning star, and how long she sets
after the sun when she is an evening star
65. The latitude of the place and day of the month
being given, to find the meridian altitude of any
star or planet

66. To find all those places on the earth to which the
moon will be nearly vertical on any given day
67. Given the latitude of a place, the day of the month,
and the altitude of a star, to find the hour of the
night, and the star's azimuth

68. Given the latitude of a place, day of the month, and
hour of the day, to find the altitude of any star,
and its azimuth

69. Given the latitude of a place, day of the month, and
azimuth of a star, to find the hour of the night,
and the star's altitude
70. Two stars being given, the one on the meridian,
and the other on the east or west part of the
horizon, to find the latitude of the place.
71. The latitude of the place, the day of the month,
and two stars that have the same azimuth, being
given, to find the hour of the night

72. The latitude of the place, the day of the month, and two stars that have the same altitude, being given, to find the hour of the night

73. The altitudes of the two stars having the same azimuth, and that azimuth being given, to find the latitude of the place

74. The day of the month being given, and the hour when any known star rises or sets, to find the latitude of the place

75. To find on what day of the year any given star passes the meridian at any given hour

76. The altitude of two stars being given, to find the latitude of the place

77. The meridian altitude of a known star being given at any place, to find the latitude

152

153

ib.

154

156

157

158

159

161

162

ib.

164

ib.

165