Problem 1PROB. I. The day of the Month known, either according to the Julian or Gregorian Account, to finde the…
1 exampleProblem 2PROB. II. By knowing the Place of the Sun in the Ecliptick, the day of the Month in either of the Accounts…
1 exampleProblem 3PROB. III.
1 sectionProblem 4PROB. IV. The Sun's Amplitude.
Problem 5PROB. V. The Sun's Right Aſcention.
Problem 6PROB. VI. The Oblique Aſcenſion.
Problem 7PROB. VII. To finde the Aſcenſional Difference.
Problem 8PROB. VIII. To finde the time of the Sun's Riſing and Setting.
Problem 9PROB. IX. To finde the Length of the Day and Night.
Problem 10PROB. X. The Sun's Meridian-Altitude, and his depreſſion at Midnight.
Problem 11PROB. XI. When the Twilight begins and ends.
Problem 12PROB. XII. What Altitude the Sun ſhall have at 6 of the Clock in the morning or evening.
Problem 13PROB. XIII. What Azimuth the Sun ſhall have at 6 of the Clock.
Problem 14PROB. XIV. At what hour the Sun ſhall be upon the East or West Azimuths.
Problem 15PROB. XV. What Altitude the Sun ſhall have when he is upon the Eaſt or Weſt-Azimuths.
Problem 16PROB. XVI. What Altitude the Sun ſhall have at any time of the day.
Problem 17PROB. XVII. What Altitude the Sun ſhall have, he being upon any Azimuth.
Problem 18The Latitude (51 deg. 30 min.) the Sun's place in the Ecliptick, (29 deg. 0 min. of Taurus) and his…
Problem 19PROB. XIX. The Hour of the day.
Problem 20PROB. XX. To finde the Difference of Latitude, or, to know how many degrees the Pole must be Elevated or…
Problem 21PROB. XXI. How much must the Sun's Declination increaſe or decreaſe, to make the Day Artificial one hour…
Problem 22PROB. XXII. To finde what number of days are contained between the days of Lengthening or ſhortning one…
Problem 23PROB. XXIII. To finde the length of the Longest or Shortest day in any Latitude.
Problem 24PROB. XXIV. Of the Reaſon of the Inequality of Days Natural, and Days Civil.
1 exampleProblem 25PROB. XXV. To finde the Longitude and Latitude of any Star.
Problem 25PROB. XXV. To finde the Right Aſcenſion and Declination of a Star.
Problem 26PROB. XXVI. To finde the diſtance of two Stars.
Problem 27PROB. XXVII. To know what Stars will be upon the Meridian at any hour of the Night.
Problem 28PROB. XXVIII. To know what day in the year any Star ſhall be upon the Meridian at 12 a clock at Night.
Problem 29PROB. XXIX. The Sun's Place, and the Altitude of a known Star given, To finde the hour of the Night.
Problem 30PROB. XXX. The Altitude of Aldebaran (or any other Star) being given in a known Latitude; To finde the…
Problem 31The Latitude of the Place (51 deg. 30 min.) and the Declination of a Star (ſuppoſe the Bulls eye,…
Problem 32PROB. XXXII. Its Aſcenſional Difference.
Problem 33PROB. XXXIII. Its Amplitude.
Problem 34PROB. XXXIV. The Semidiurnal Arch, and the time that Aldebaran (or any other Star) continues above the…
Problem 35PROB. XXXV. At what hour (any time of the year) Aldebaran comes to the Meridian.
Problem 36PROB. XXXVI. At what hour (at any time of the year) Aldebaran (or any other Star) riſeth or ſetteth.
Problem 37PROB. XXXVII. At what Horary diſtance from the Meridian Aldebaran will be due East or West: And what…
Problem 38PROB. XXXVIII. What Altitude and Azimuth Aldebaran (or any other Star) ſhall have when ſix hours diſtant…
Problem 39PROB. XXXIX. To finde what Altitude and Azimuth any Star hath when he is at any horary diſtance from the…
Problem 40PROB. XL. Having the Azimuth of a Star, to finde at what horary diſtance that Star is from the Meridian,…
Problem 41PROB. XLI. Concerning the Poetical Riſing and Setting of the fixed Stars viz.
4 sectionsPart 3TRIGONOMETRICAL PROBLEMS.
SectionINTRODƲCTION.
2 subsectionsSectionOf Right-angled Spherical Triangles.
5 casesSectionOf Oblique-angled Spherical Triangles.
7 sectionsTheorem
1 sectionSectionHow a Perpendicular is to be let fall in any Oblique Spherical Triangle, thereby dividing it into two…
Conclusion
Part 4HOROLOGIOGRAPHICAL Problems.
IntroductionINTRODƲCTION. Of the diſtinction of Plains, upon which Dials are to be made.
Problem 1PROB. I. To make an Horizontal Dial in any Latitude.
2 sectionsProblem 2PROB. II. To make a Vertical South Dial.
2 sectionsProblem 3PROB. III. To make a Vertical direct North-Dial.
Problem 4PROB. IV. To make a direct Vertical Eaſt or Weſt Dial.
2 sectionsProblem 5PROB. V. To make a Vertical Dyal declining from the South, Eaſtward, or Weſtward; 30 degrees in the…
2 sectionsProblem 6PROB. VI. Of direct South Reclining Dyals.
2 sectionsProblem 7PROB. VII. Of North Reclining Dyals.
2 sectionsProblem 8PROB. VIII. Of Eaſt or Weſt direct Recliners.
2 sectionsProblem 9PROB. IX. Of Declining, Reclining, or Inclining Plains.
2 sectionsPart 5ASTROLOGICAL Problems.
IntroductionINTRODƲCTION.
Problem 1PROB. I. How to Erect a Figure of the Heavens in the Latitude of London 51 deg. 30 min. N. for the 10th day…
4 sectionsProblem 2PROB. II. Having the Longitude and Latitude, or the Right Aſcenſion and Declination of a Star, Planet, or…
2 sectionsProblem 3PROB. III. To know in what Houſe, or under what Circle of Poſition, any Star, Planet, or point of the…
Problem 4PROB. IV. Of the Planetary hours, how to finde the Length thereof, and what Planet at is that Reigneth any…
5 sectionsPart 6GEOGRAPHY AND NAVIGATION Made eaſie: OR, A plain Deſcription and Uſe of the Terreſtrial GLOBE.
IntroductionINTRODƲCTION.
EuropeOf EUROPE.
AsiaOf ASIA.
AfricaOf AFRICA.
AmericaOf AMERICA.
SectionOf Water and its Parts.
SectionOf the Names of the Ocean.
SectionThe Names of the Inland Seas.
SectionAn Advertiſement concerning Longitude.
SectionGeographical Problems.
9 problemsPart 7NAUTICAL Problems. INTRODƲCTION.
IntroductionINTRODƲCTION.
Problem 1PROB. I. To finde the Latitude.
8 sectionsProblem 2PROB. II. Any two places given, to finde their Rumb.
Problem 3PROB. III. Having the diſtance ſailed, and the Rumb you have ſailed upon given, to finde the difference of…
Problem 4PROB. IV. The Latitude of two places, and the Rumb that the two places bear each from other given, to finde…