...center and any radius, describe the arc ADB, and bisect this as above. -P-1 A i — a Through a given point to draw a straight line parallel to a given straight line.— Let A be the given point and CD the given line. From A as a center, with a radius greater than the shortest...

...lines which are parallel to the same straight line are parallel to each other. 31. Through a given point, to draw a straight line parallel to a given straight line. 32. If one side of a triangle be produced, the exterior angle shall be equal to the sum of the two...

...make an angle equal to a given angle. The construction may be effected by 2 R, I. 31.. Through a given point to draw a straight line parallel to a given straight line. 9 The construction is frequently effected by The following method is due to Mr Gaston Tarry. FIGURE...

...intersection d of the arcs 'mid it will be the perpendicular required. (B. I,, P. XVI., C.) THROUGH A GIVEN POINT, TO DRAW A STRAIGHT LINE PARALLEL TO A GIVEN STRAIGHT LINE. (Fig. 39.) From the given point a as a center, with a radins greater than the distance to the line,...

...through 0 and P. This line bisects the given angle. It also bisects the arc MN. h. Through a given point to draw a straight line parallel to a given straight line. pg With a square, measure the distance of the given point P (Fig. 11) from the -, _ given line MN....

...two arcs intersecting each other at C and I). The line joining CD will bisect AB. II. Through a given point to draw a straight line parallel to a given straight line. Let AB (Fig. 49) be the given line and C the point. In AB take any point D ; join CD. With the centre D...

...given angle. 277. Two angles of a triangle being given, to find the third angle. 278. Through a given point, to draw a straight line parallel to a given straight line. 279. To divide a given straight line into equal parts. 280. Two sides and the included angle of a triangle...

...D. The line joining the points P and D will be perpendicular to A B. PROBLEM 4. — Through a given point, to draw a straight line parallel to a given straight line. See Fig. 36; also 4 of Plate I. CONSTRUCTION. — Let P be the given point, and AB the given straight...

...of an isosceles triangle, to construct the triangle. PROPOSITION XX. PROBLEM. 189. Through a given point to draw a straight line parallel to a given straight line. ^ ^ Let BC be the line and A the point. /' To draw through A a line parallel to BC. ^/ It is known (from 62)...

...D. The line joining the points P and D will be perpendicular to A B. PROBLEM 4.— Through a given point, to draw a straight line parallel to a given straight line. See Fig. 36; also 4 of Plate I. CONSTRUCTION. — Let P be the given point, and AB the given straight...