1. discovered in 98 C.E Kevin Call Matt Ragusa Austen Rerick Hanna Utkin PD8

2. On Menelaus Menelaus was a mathematician who lived during the Roman Empire in both Alexandria and Rome. His work was largely on the geometry of spheres. This theorem was first discussed in his book, Sphaerica, and later mentioned by Ptolemy in his work Almagest. It achieved wider familiarity when the 17 th century Italian mathematician Giovanni Ceva expanded upon it in his theorem on the same subject. Menelaus’ Theorem proves that spheres are made up of spherical triangles. example of a spherical triangle example of a geodesic

3. Basic Concepts of the Menelaus Theory Given a triangle ABC, and a transversal line that crosses BC, AC and AB at points D,E and F respectively, with D,E and F distinct from A,B and C.

4. Menelaus Theory Example Problem A M B E C N 12 4 8 6 618 Remember: AM/MB × BE/EC × CN/NA

5. Solution: Step-by-Step A M B E CN 4 12 8 6 6 18 AM/MB × BE/EC × CN/NA (12/4) × (8/6) × (6/24) = ?

6. Logic Behind the Formula

8.  Celestial Navigation  Air Navigation  Architecture  Astronomy and Physics (‘Precession of the Equinoxes’) Real Life Applications