Apollonius is said to be the greatest geometer. However, his works actually had a big impact on the development of mathematics. Information about his true identity is unknown. According to one source, he was in the reign of Ptolemy Euergetes and Ptolemy Philopatus. In fact, there is information that says that Apollonius was a follower of Ptolemy Philadelphus. It is estimated, Apollonius is 25-40 years younger than Archimedes.
Meanwhile, other sources say that in 262 BC Apollonius went to Perga, Pamphylia (now known as Murtina or Murtana), located in Antalya, Turkey. At that time, Perga was the cultural center and location of the Temple of Artemis. Later, young Apollonius went to Alexandria to study under the guidance of the followers of Euclid. Apollonius also had time to teach there.
Next, he went to Pergamun which has a large university and library. Pergamun is another name for the town of Bergama, an ancient Greek city located in the province of Izmir in Turkey. The city is located 25 km from the Aegean Sea, precisely in the hills north of the Caicus River Valley (now called the Bakir River). There, Apollonius met with Eudemus, author of the Hystory of Geometry. In addition, he is also expected to meet with King Attalus I of Pergamun. This estimate is based on the preface to the book Apollonius which states that he showed respect and worship reverently for Attalus.
Apollonius’s works, including Cutting-of-Ratio, Cutting-off of an Area, On Determinate Section, Tangent, Vergings, and Plane Loci, are lost and the jungle is not found. Perhaps, the number scheme is one of the parts saved from the last part of his second book entitled Mathematical Collections. He also wrote Quick Delivery which contains teaching about tips or quick count techniques.
His famous book is called Conics. In his first book, he discussed everything related to the basic things about curves. In this book also theorem and coordinate transformation of the system based on the tangent and diameter at point P, which is on the cone, into a new system determined by the tangent and diameter of point Q which are on the same curve. He is very familiar with the characteristics of hyperbole with azimuth as abscissa. The equation xy = c2 is an equilateral hyperbole similar to Boyle’s Law formula about gases.
In the second book, he continues the discussion of tangents and diameters by using propositions and curve drawings.
Meanwhile, in the third book, he revealed useful theorems for conducting synthesis operations and solid loci limit determination. He stated that Euclid had not mentioned this topic at all.
Meanwhile, the fourth book describes how to cut the cone section. Apparently, the idea of hyperbole, the two opposite branches, is Apollonius’s idea. The fifth book deals with the maximum and minimum straight lines that intersect with the cone. When writing this book, Apollonius never thought that the concepts he outlined would underlie the dynamics of the earth (terrestial) and the mechanics of the universe (celestial).
Meanwhile, his sixth book contains propositions about the cone section, the same or different, and similar or different. In that book, a proposition is found that proves that when a cone is cut by two parallel lines, there are hyperbolic and elliptic parts, which are similar, but not identical.
In his seventh book, he again discusses conjunctate diameters and various new propositions that discuss diameters of cone sections. Thus, the concept of parabola, hyperbole, and ellipse has made a major contribution in the field of modern astronomy. Even Newton’s book entitled ‘Principia’, gives hope to many people to travel into space. However, it was only around the 60s, after the minimal, maximum, and tangent concepts discovered by Apollonius could be understood, humans could travel into space.
Apollonius died in 190 BC. Furthermore, after Pappus’s “touch”, Apollonius’s work was generalized by Descartes to test analytic geometry. In the 17th century, Apollonius’s work was discovered by French aristocrats (including Fermat), which gave a great influence to French mathematicians in general, and Fermat in particular.