# sesquiplicate

## Contents

## English[edit]

### Etymology[edit]

Surface form *sesqui-* (“one and a half”) + *plicate* (“fold”); by analogy with *duplicate*.

### Adjective[edit]

**sesquiplicate** (*not comparable*)

- Magnified by one and one-half; in a ratio of three to two.

#### Related terms[edit]

- sesquialteral, sesquialterate :
*sesquialteral ratio*= ratio of 3 to 2 - sesquiplicate proportion
- sesquiplicate ratio
- subsesquiplicate :
*subsesquiplicate ratio*= 2/3rd power of the ratio

#### Coordinate terms[edit]

- duplicate – two times
- triplicate – three times

### See also[edit]

### Quotations[edit]

**1729:** And all astronomers agree that their periodic orbits are in the sesquiplicate proportion of the semi-diameters of their orbits; and so it manifestly appears from the following table. — Andrew Motte, translating Isaac Newton's *Philosophiae Naturalis Principia Mathematica*

**Note**: "in the sesquiplicate proportion" (ratio) means increasing as the square root of the cube, that is, as x^{3/2}, just as "in the duplicate ratio" would mean increasing as the square.