Which preposition to use with pi

in Occurrences 5%

A large part of them was acquired by the Hsiung-nu and the Hsien-pi in the north of China; apparently they usually gave up land in return.

as Occurrences 2%

Both these courses, however, meant the end of the Hsien-pi as an independent ethnical unit.

of Occurrences 2%

In the course of a number of battles the Hsien-pi of the "Later Yen" were annihilated and eastern China conquered (409).

into Occurrences 1%

This proto-Mongol state of the Mu-jung, which the historians call the "Earlier Yen" state, conquered parts of southern Manchuria and also the state of Kao-li in Korea, and there began then an immigration of Hsien-pi into Korea, which became noticeable at a later date.

against Occurrences 1%

The campaigns of the Hsien-pi against North China now increased, and in the course of them the various tribes formed firmer groupings, among which the Mu-jung tribes played a leading part.

to Occurrences 1%

As Shere Ali looked, he saw a poor bent man in rags, with yellow caste marks on his forehead, add a copper pi to the collection in the bowl.

by Occurrences 1%

Worked from about 9.45 to 6.45, and again from 10.15 to 11.45 (making 101/2 hours altogether) at an idea which occurred to me of finding limits for pi by elementary trigonometry, for the benefit of the circle-squarers.

from Occurrences 1%

"Among mathematical investigations I find: Theory of the Moon's brightness, Motion of a body in an ellipse round two centres of force, Various differential equations, Numerical computation of sin pi from series, Numerical computation of sines of various arcs to 18 decimals, Curvature of surfaces in various directions, Generating functions, Problem of sound.

Which preposition to use with  pi