Where did Apollonius go to school?
Born at Tyana in Asia Minor, Apollonius was educated at Tarsus and at the Temple of Aesculapius at Aegae, where at 16 he devoted himself to the doctrine of Pythagoras, whose teachings he followed all his life.
Who created Apollonius theorem?
Apollonius of Perga, (born c. 240 bc, Perga, Pamphylia, Anatolia—died c. 190, Alexandria, Egypt), mathematician, known by his contemporaries as “the Great Geometer,” whose treatise Conics is one of the greatest scientific works from the ancient world.
What is Apollonius principle?
Statement- “the sum of squares of any of the two sides of a triangle equals to twice its square on half of the third side, along with the twice of its square on the median bisecting the third side”
What is meant by Apollonius theorem?
In geometry, Apollonius’s theorem is a theorem relating the length of a median of a triangle to the lengths of its sides. It states that “the sum of the squares of any two sides of any triangle equals twice the square on half the third side, together with twice the square on the median bisecting the third side”.
What miracles did Apollonius perform?
He gathered a number of disciples around him, who became convinced that his teachings were divinely inspired, in no small part because he himself was divine. He proved it to them by doing many miracles, healing the sick, casting out demons, and raising the dead.
How is a circle formed according to Apollonius?
The circles of Apollonius of a triangle are three circles, each of which passes through one vertex of the triangle and maintains a constant ratio of distances to the other two. The isodynamic points and Lemoine line of a triangle can be solved using these circles of Apollonius.
Where is Apollonius theorem used?
Apollonius’ Theorem is a theorem in elementary geometry, similar to Pythagoras Theorem. It is useful to calculate the lengths of a median of a triangle.