An editorial interpretation of Apollonius, distinguished by a much later 1537 print, holding a double cone and three cutting planes before separated Greek and Arabic transmission layers
AI editorial interpretation

One cone, three curves, and a book surviving through several languages

No verified lifetime portrait of Apollonius or record of this workspace survives. The bald crown, forked beard, and dark vest come from a 1537 print roughly eighteen centuries later and are recognition conventions, not appearance evidence. The cone and Greek and Arabic books are separated editorial time layers preserving earlier conic work and the survival boundary of Books I–IV, V–VII, and the lost Book VIII.

MathVoyage editorial direction · OpenAI image generation · 1537 print iconography reference · no verified lifetime likeness · 2026-08-07

Remember the mind, not only the dates

Apollonius of Perga

BC 262 - BC 190 (estimated)
Thinking ground · Alexandria
Born · Perga
Greek PeriodOne double coneEllipse, parabola, and hyperbolaGreek, Arabic, and a missing layer

The idea to carry forward

Ellipse, parabola, and hyperbola are three ways of viewing one cone.

Enter through one scene

BC 225

Conics I-IV — the unified geometry of conic sections

Using one double cone and changing the cutting plane, he treated ellipse, parabola, and hyperbola together and developed properties of diameters, tangents, and asymptotes. Books I–IV survive through the Greek tradition.

Questions this person helps open

Concept ports to revisit, not another achievement list

These are reverse projections of existing editorial routes, not claims of direct influence or sole invention.

No concept port has yet been reviewed for this person.

Browse every concept route

PROFILE 02 · DEEP VOYAGE

How Apollonius of Perga’s ideas moved

Instead of memorizing more dates, follow the world that shaped this mind, the scenes that changed its direction, and the questions carried onward.

CHAPTER 01 · PERSON AND PERIOD

What questions surrounded Apollonius of Perga?

Before the finished achievement, read what this person treated as a problem and where the surviving evidence reaches its limit.

About 1 min read

A Hellenistic mathematician who unified curves that had looked like products of different cones. Born in Perga, Apollonius studied and worked in Alexandria and wrote the eight-book Conics. Building on work including that of Menaechmus, he systematically treated ellipse, parabola, and hyperbola as sections of one double cone obtained by changing the cutting plane. The terms ellipse, parabola, and hyperbola became established through his work. Books I–IV survive in Greek, while V–VII survive through an Arabic translation tradition; Book VIII is lost. That translation history involves work associated with Hilal ibn Abi Hilal and Thabit ibn Qurra, so it is not a one-person rescue story. Kepler and Newton later used conic sections in astronomy, but their discoveries were not inevitable consequences of this one book.

CHAPTER 02 · TURNING SCENES

3 turning scenes

Follow the moments when the idea moved one step further. Every scene continues through an evidenced place or an honestly labelled time context.

  1. Scene 1 / 3

    BC 225Alexandria

    Conics I-IV — the unified geometry of conic sections

    Using one double cone and changing the cutting plane, he treated ellipse, parabola, and hyperbola together and developed properties of diameters, tangents, and asymptotes. Books I–IV survive through the Greek tradition.

  2. Scene 2 / 3

    BC 220Alexandria

    Studying equivalence between eccentric and epicyclic models

    Later sources connect Apollonius with geometric equivalence between eccentric and epicyclic models. These tools were developed in Ptolemaic astronomy, but one person did not establish the whole long-lived tradition.

  3. Scene 3 / 3

    AD 870Baghdad

    Books V–VII — transmitted through Arabic translations

    Books V–VII, whose Greek text is lost, were preserved in a ninth-century Arabic translation and revision tradition associated with Hilal and Thabit. They later passed into Latin editions and modern critical texts; Book VIII does not survive.

THOUGHT EXPERIMENT · NOT A FACT CLAIM

Erase Apollonius of Perga from the map

This is a thought experiment about influence, not a verified historical fact.

Beginners shine a conical beam obliquely onto a wall and look for circle-, ellipse-, or parabola-like traces. Intermediate learners compare the focus–directrix definitions. Advanced learners unify the curves through quadratic equations and projective geometry. Experts study Greek, Arabic, and Latin transmission together with the later recontextualization of conics by Kepler and Newton.

STANDING ON SHOULDERS · EVIDENCED CONNECTIONS

What arrived here, and what moved onward?

We do not draw a line merely because two people shared an era. Only connections traced through works, problems, or teaching appear with an explanation and evidence.

Apollonius of Perga

Apollonius of Perga

Greek Period

Received 1Passed on 0

What this person received

Euclid
Influenced byEuclid

Conics after the Elements

Apollonius carried Euclid’s axiomatic language into a unified theory of the ellipse, parabola, and hyperbola in the Conics.

Evidence for this connection

Beyond MathVoyage

Curated sources and problems. Bring one discovery back from OEIS, Project Euler, MathOverflow, or arXiv.