PROPOSITIONS 1-26, BOOK I, ARE NOW PUBLISHED IN A SIMILAR FORM TO THIS.

PROPOSITION II.

From a given point, to draw a straight line equal to a given straight line.

parts of them are equal; therefore the remainder

; but it has been shewn that is equal to each of them equal to one another; therefore the straight line

point

a straight line

is equal to the remainder

wherefore

and

are

; and things that are equal to the same thing are equal to

is equal to

has been drawn equal to the given straight line

RELFE BROTHERS' EUCLID SHEETS.

PROPOSITIONS 1—26, BOOK I, ARE NOW PUBLISHED IN A SIMILAR FORM TO THIS.

Let

PROPOSITION I.

To describe an equilateral triangle upon a given finite straight line.

be the given straight line.

the circles cut one another, draw the straight lines

shall be an equilateral triangle.

Because the point is the center of the circle because the point

is the center of the circle

it has been proved that

is equal to

; therefore

are each of them equal to

; but things which are equal to the same thing are equal to one another; therefore

is therefore equilateral, and it is described upon the given straight line