PROBLEM VI.

To make an angle equal to a given angle ABC.

Draw the line CD.

With D for a centre, draw the arc EF.

With the fame radius, and B for a centre, draw the arc G H.

With the compaffes, take the distance G H.

Set the fame diftance off from E to F.

Through F, draw the line DI, and you will have the angle required.

Make an angle at B, equal to that at A.

With any convenient diftance, fet off the number of parts required (fuppofe 4,) from A towards C.

With the fame distance, set off the number of parts from B towards D.

Draw the lines (A. 4) 1. 3) 2. 2) &c., which will divide the line A B as was required.

PROBLEM VIII.

To draw a line parallel to a given line AB, which fhall pass through a given point C.

Take any point D, in the line A B, and draw the line DC.

With D for a centre, describe an arc a b.

With C for a centre, and the fame radius, describe the arc o d.

Take the distance ab, and fet it off from o, to the point d.

Through the points Cd, draw the line EF, which will be parallel to A B.

PROBLEM IX.

To draw a line parallel to a given line, at a given

Take two points C and D, in the given line.

Take the given distance for a radius, and with C and

D as centres, defcribe the arcs E and F.

Draw the line GH, touching both arcs without cutting them, which will be parallel to A B.

PROBLEM X.

Upon a given right line AB, to make an equilateral Triangle.

With the radius A B, and A as a centre, defcribe an

arc.

With the fame radius, and B as a centre, cross the first arc in C.

Draw the lines CA and C B, which will complete the triangle A B C.

PROBLEM XI.

To make a Triangle whofe three fides shall be equal to three given ftraight lines, if any two of the given lines are greater than the third. Let A, B, C be the three given lines.

With a radius equal to B, and D as a centre, describe

an arc.

With a radius equal to C, and E as a centre, cross the first arc in F.

Draw the lines FD, FE, which will complete the triangle required.