The English academy, or, A brief introduction to the seven liberal arts grammar, arithmetick, geometrie, musick, astronomie, rhetorick & logic : to which is added the necessary arts and mysteries of navigation, dyaling, surveying, mensuration, gauging & fortification, practically laid down in all their material points and particulars, highly approved to be known by the ingenious, and as such are desirous to profit, or render themselves accomplished : chiefly intended for the instruction of young scholars, who are acquainted with no other than their native language, but may also be very useful to other persons that have made some progress in the studies of the said arts / by John Newton.

Proposition I. How to protract or lay down an Angle to any quantity or number of Degrees proposed.

Draw a line at pleasure at AB, then o∣pen your Compasses to the number of 60 de∣grees in your line of Chords, and setting one of that extent in B, with the other describe the Arch CD, and from the point B, let it be required to make an Angle of 40 degrees; open your Compasses to that extent in the line of Choads, and setting one Foot in D, with the other make a mark as at E, and draw the line EB, so shall the Angle ABE contain 40 degrees, as was required.