ACDB

This article appears in Volume V04, Page 976 of the Encyclopedia Britannica.

Encyclopedia Britannica - Main :: A10-ADA

ACDB =lp, where l denotes the length c D of the rod and p the distance AB through which it has been moved. This distance, as measured by the

rolling

ROLLING

of the

wheel

, which acts as a curvometer, will be called the "

roll

" of the

wheel

and be denoted by w. In this

case

CASE
CASE, JOHN (d. 1600)

p =w, and the area P is given by P =wt. Let the circumfer- A ence of the wheel be divided into say a hundred equal parts u; then w
registers the number of u's rolled over, and w therefore gives the number of areas lu contained in the rectangle. By suitably selecting the

radius

RADIUS

of the wheel and the length 1, this area lu may be any convenient unit, say a square inch or square centimetre. By changing 1 the unit will be changed.
Again, suppose the rod to turn (fig. 7) about the end. Q, then will describe an arc of a circle, and the rod will generate an area
fl'9, where 8 is the

angle

ANGLE (from the Lat. angulus, a corner, a diminutive, of which the
primitive
- PRIMITIVE
form,
angus
- ANGUS, EARLS OF
, does not occur in Latin; cognate are the Lat. angere, to compress into a
bend
- BEND
or to strangle, and the Gr. ayKOS, a
bend
- BEND
; both connected with the
Aryan
- ARYAN
root ank-, to

A

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