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2. Hipparchus of Nicaea
Instructor: Dr. Muhammad Umer
Presenter: Furqan Haider
Student ID#BSF1800544

3. Contents
 Biography
 Place of birth
 Place of death
 Education
 Interests
 Profession
 Contribution
 Invention
 Books
 Contribution in mathematics
 References

4. Biography
 190 – 120 BC
 Greek astronomer Geographer and mathematician
 Hipparchus was born in Nicaea, Kingdom Of Bithynia
 Hipparchus was died in Rhodes, Roman Republic
 School of Athens, Gymnasium
 Father of trigonometry

5. Profession
Astronomer
Astronomer between 162 and 127 BC.
Mathematician
Geographer
Astrologer

6. Contribution
 Lunar and Solar Theory
 Motion of the Moon
 Orbit of the Moon
 Apparent motion of the Sun
 Orbit of the Sun
 Distance, parallax, size of the Moon and the Sun
 Eclipses

7. Invention
Gnomon

8. Invention
Astrolabe

9. Contribution in Mathematics
• First mathematician ,trigonometric table,
needed, computation, eccentricity.
• Tabulated values ,chord function
𝑐ℎ𝑜𝑟𝑑(𝜃) = 2𝑟. sin(𝜃/2)

10. Contribution in Mathematics
• Hipparchus could have constructed his chord
table using the Pythagorean theorem and a
theorem known to Archimedes
• Hipparchus was the first to show that
the stereographic projection.
• Stereographic Projection: A particular
mapping (function) that projects a sphere onto
a plane

11. Books
• 2 Books on precession
• Titled on sizes and distance
• On the displacement of the solistical and equicnotial points
• On the length of the year

12. Refrences
• https://en.wikipedia.org/wiki/Hipparchus#Life_and_
work
• https://www.britannica.com/biography/Hipparchus-
Greek-astronomer
• https://study.com/academy/answer/where-did-
hipparchus-go-to-school.html
• https://en.wikipedia.org/wiki/Hipparchus#mathemat
ical_techniques