This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1905 Excerpt: ...from both A and B. On what line do all these points lie? How many points are there which are 4 cm. from both A and B? Problem 8. Through a given point P to draw with set squares a line perpendicular to a given straight line AB. Take either set square and place one of the sides containing the right angle along AB. Apply ...
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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1905 Excerpt: ...from both A and B. On what line do all these points lie? How many points are there which are 4 cm. from both A and B? Problem 8. Through a given point P to draw with set squares a line perpendicular to a given straight line AB. Take either set square and place one of the sides containing the right angle along AB. Apply the straight-edge to the longest side (i.e. the side opposite the right angle) of the set square; and slide the latter until the side originally perpendicular to AB passes through P. A line ruled along this side will be perpendicular to AB, for the alternate angles marked in the diagram are equal. Note. Following the principle of this method, you should devise for yourself arrangements of a set square and straight edge by which a line may be drawn through a given point P making with a given line AB an angle (i) of 45, (ii) of 60, (iii) of 30. (Exercises to be done tcith Set Squares.) Ex. 6. Draw a straight line AX, and mark off along it AB, BC, CD, each 1" in length. Through A, B, C, and D draw lines perpendicular to AX. Why are these lines parallel? Ex. 7. Draw a line AB of length 7 cm. Through A draw a perpendicular to AB, and along it measure AC 7 cm. long. Through B draw a parallel to AC; and through C draw a parallel to AB. What is the shape of the figure you have thus drawn? Ex. 8. Draw a line AB, 8 cm. long. Draw AC perpendicular to AB, and make AC = 6 cm. Join BC. From A draw AD perpendicular to AC. Measure AD. Ex. 9. Draw a line AB. At A make (with your set squares) (i) a right angle, (ii) an angle of 60, (iii) an angle of 30, (iv) an angle of 45. Ex. 10. (a) Draw a line AB of length 10-5 cm. From A (with your protractor) draw AC and AD making angles of 45 with AB, one on each side. Through B draw (with set squares) parallels to...
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