...angles r, s, are therefore equal, and confequently ''the lines BA, DC are parallel. PROP. XXI. Through a given point to draw a line parallel to a given line. Let G be the point through which it is required to draw a line parallel to the given line MF. From any...

...angle into two equal angles . 6 VI. To trisect a right angle into three equal angles . 7 VII. Through a given point, to draw a line parallel to a given line . . . ,7 VIII. To divide a given line into any proposed number of equal parts . . . .8 I'KOB. lt'-1...

...into sixteen, and so on. PROBLEM. 1 39. Through a given point, to draw a parallel to a given straight line. Let A be the given point, and BC the given line. From the point A as a centre, with a radius sufficiently great, describe the indefinite arc EO ; from...

...sixteen, and so ri" • PROBLEM VI. V...-- Through a given point, to draw a parallel to a given straight line. Let A be the given point, and BC the given line. 3 From the point A as a centre, with a radius greater than the shortest distance from A to BC, describe...

...20.* When a line crosses two parallel lines, compare the alternate angles. They are equal. 21. Through a given point to draw a line parallel to a given line. 22.* Oblique lines, extending from a point in one of two perpendicular lines to points equally distant...

...therefore, is equal to | of a quadrant ; and this is equal to a right angle. Fig. 36. 79. — Through a given point, to draw a line parallel to a given line. Let a, (Fig. 36,) be the given point, and bc the given line. Upon any point, as d, in the line, bc, with the...

...angle ECB, and the arc AE to the arc EB. 32. How do you draw through a given point a line parellel to a given line ? Let A be the given point, and /<• BC the given line. i From A as a centre, with a radius greater than the shortest distance from A to BC, describe the indefinite...

...б'82 1'19 6'7б 0^ 4'33 4'87 2'1б 7'12 30'34 20Ю5 20'05 10'29 PLOTTING. 217 PROBLEM II. Through a given point to draw a line parallel to a given line. Set one foot of the dividers in the given point, P, and with any convenient centre describe the circumference...

...straight line. PROBLEM II. At a given point, in a given straight line, to erect a perpendicur lor to this line. Let A be the given point, and BC the given line. Take the points B and C at equal distances from A ; then from the points B and C as centres, with a...

...square, or other suitable instrument. 11. Through a given point to draw a parallel to a given straight line. Let A be the given point, and BC the given line. From the point A, as a centre, with a radius greater than the shortest distance from A to BC, describe...