# sesquialterate

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## English[edit]

### Etymology[edit]

From Latin *sesquialter* (“one and a half times”).

### Adjective[edit]

**sesquialterate** (*not comparable*)

- (mathematics, archaic) In a ratio of three to two, or of one and a half to one.
*9 and 6 are in a***sesquialterate**ratio.

**1818**, Iamblichus,*Life of Pythagoras*Tr. Thomas Taylor (page 328)- the ratio of 3 to 2, which is sesquialter, forms the symphony diapente […]

**1859**, Frances Power Cobbe,*An Essay on Intuitive Morals: Being an Attempt to Popularize Ethical Science*(page 84)- People ignorant of geometry did not know the
**sesquialterate**ratio of the sphere, cylinder, and cone, and therefor no man could know it […]

- People ignorant of geometry did not know the
**1888**, Sir Isaac Newton,*Portsmouth Collection of Books and Papers Written or Belonging to Sir Isaac Newton*(page xviii)- from Kepler's Rule of the periodical times of the Planets being in a
**sesquialterate**proportion of their distances from the centers of their orbs I deduced […]

- from Kepler's Rule of the periodical times of the Planets being in a