Page:Euclid's Elements 1714 Barrow translation.djvu/21

Rh

Pon a finite right line given AB,to decribe an equilateral triangle ACB.

From the centers A and B, at the ditance of AB, or BA, a decribe two circles cutting each other in the point C; from whence b draw two right lines CA, CB. Then is AC c = AB c = BC d = AC. e Wherefore the Triangle ACB is equilateral. Which was to be done.

After the ame manner upon the line AB may be decribed an Ioceles triangle, if the ditances of the equal circles be taken greater or les than the line AB.

At a point given A, to make a right line AG equal to a right line given BC.

From the center C at the ditance of CB, a decribe the circle CBE. b join AC; upon which c raie the equilateral triangle ADC. d Produce DC to E. From the center D, at the ditance