This library is built in the open.
If you spot an error, have a suggestion, or just want to say hello — we’d love to hear from you.

DEFINITION VIII.
A Figure is that which is contained under one or many limits.
Euclid, Book 1, Def. 14.
As these three figures, A, B, and C, whereof the first is contained under one limit; the second, under three; and the third, under four; and the like of others. Wherein is to be noted, that of two right (straight) lines, no Figure can be contained.
A diagram showing a circle labeled A, a triangle labeled B, and a rectangle labeled C.
DEFINITION IX.
A Circle is a plain Figure, and contained under one line, which is called the Circumference thereof.
Euclid, Book 1, Def. 15. Ramus, 1. 15.
A Circle, of all other Figures, has the priority, being of all most perfect and absolute; and therefore most fitting first to be defined: as the Figure A in the last Diagram.
DEFINITION X.
The Centre of a Circle is that point which is in the midst thereof: from which point, all right lines, drawn to the Circumference, are equal.
Euclid, Book 1, Def. 16.
As the point B in this Figure is the Centre thereof, from whence the lines B-A, B-C, and B-D, being drawn to the Circumference (and as many others as are so drawn) are all equal, and are semidiameters (radii) to the same Circle.
PROB. 34. I.
A circle with a center point labeled B, and three lines radiating from the center to the circumference, labeled A, C, and D.
DEFINITION XI.
The Diameter of a Circle is a right line, passing by the Centre through the whole Circle, and divides the same into two equal parts: Either half