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13 / ANTIQUITY TO THE RENAISSANCE

Hypatia of Alexandria

c. 355–415 CE·Alexandria · Egypt

How high is a star? Astronomers answered with an angle above the horizon, measured on an astrolabe hung from its ring.

Explore the mathematics ↓
Imagined portrait of Hypatia of Alexandria
Imagined likeness

01 / ANGULAR ALTITUDE

Read the sky with a rotating arm

Turn the astrolabe’s sighting arm onto a star, then read the angle on its scale.

The instrument hangs from a ring so that gravity keeps its 0° line level. Hold it crooked, and the reading goes wrong.

How high is that star?

Height in the sky is measured as an angle above the horizon. Turn the astrolabe’s sighting arm onto a star.

Simplified astrolabe back · the close-up is the same instrument, enlarged
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THE IDEAAltitude is the angle from the horizon to an object in the sky: 0° at the horizon, 90° straight overhead. Hanging the astrolabe from its ring keeps that zero line true.

The person behind the ideas

More of the mathematics

Teaching and commentary

Ancient reports associate Hypatia with work on Diophantus, Apollonius and astronomical texts. Much of the evidence is indirect.

A flat model of the sky

A full planispheric astrolabe also maps the sky onto a flat plate. This lesson isolates the simpler act of measuring altitude.