"The radius vector describes equal areas in equal times"
About this Quote
The intent is precision with teeth. Kepler isn’t writing poetry; he’s staking a claim that nature keeps its own books, and the ledger is mathematical. The phrase “equal areas” is the sly part: it translates messy motion into an invariant, a conserved regularity hiding inside apparent irregularity. He’s offering a new kind of order, not the visual order of a perfect circle but the deeper order of a rule that survives the wobble.
Context matters: early 17th-century astronomy is a battleground of inherited authority versus instrument-fed evidence. Working from Tycho Brahe’s observations, Kepler is forced into humility before data. The subtext is methodological modernity: trust measurement, not mythology. And it’s rhetorical strategy, too. He smuggles dynamical thinking into a geometrical statement, decades before Newton supplies the force-language to explain why it works. Kepler’s genius here is making a universe that changes speed feel lawful rather than sinful.
Quote Details
| Topic | Science |
|---|---|
| Source | Johannes Kepler, Astronomia nova (1609) — formulation of the area (Second) law: “The radius vector describes equal areas in equal times” (often rendered “a line joining a planet and the Sun sweeps out equal areas in equal times”). |
| Cite |
Citation Formats
APA Style (7th ed.)
Kepler, Johannes. (2026, January 18). The radius vector describes equal areas in equal times. FixQuotes. https://fixquotes.com/quotes/the-radius-vector-describes-equal-areas-in-equal-10983/
Chicago Style
Kepler, Johannes. "The radius vector describes equal areas in equal times." FixQuotes. January 18, 2026. https://fixquotes.com/quotes/the-radius-vector-describes-equal-areas-in-equal-10983/.
MLA Style (9th ed.)
"The radius vector describes equal areas in equal times." FixQuotes, 18 Jan. 2026, https://fixquotes.com/quotes/the-radius-vector-describes-equal-areas-in-equal-10983/. Accessed 12 Feb. 2026.







