Mathematics For Machine Technology
8th Edition
ISBN: 9781337798310
Author: Peterson, John.
Publisher: Cengage Learning,
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Textbook Question
Chapter 59, Problem 1A
Trace this line segment two times. On one copy construct a perpendicular bisector of the segment. On the other copy divide the segment into three equal segments.
Expert Solution & Answer
To determine
To construct:
A perpendicular bisector of the line segment.
To divide: The line segment into three equal parts.
Answer to Problem 1A
Area
Explanation of Solution
Steps of construction:
- Taking A as a centre and radius more than half of AB, draw arcs on both the above and below the line segment AB as shown in figure (a).
- Similarly, taking B as a centre and radius same as above draw another arc on both the sides of the line segment that intersects the first pair of arcs as shown in the diagram (b).
- Join both the arcs by drawing a straight line. Line CD as shown in figure (c), is the perpendicular bisector of line segment AB with O as a centre.
Divide the line segment into three equal parts:
Steps of construction:
- From point A, draw a line segment AC forming an angle with AB as shown in fig(a).
- On line segment AC with the help of a compass mark three equal arcs D, E and F of any length (b).
- Connect point F with point B.
- Now taking F as a centre, draw arcs which intersect the line segment AC at G and BF at H.
- Repeat the procedure by taking D and E as centre and mark an arc of same radii as shown in figure.
- With the help of a compass measure the distance GH and mark the same distance from other two arcs as well which intersects the arcs at point K and M respectively.
- Join E with K and D with M and extending the lines past AB. Thus, line segment AB is divided into three equal parts.
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Chapter 59 Solutions
Mathematics For Machine Technology
Ch. 59 - Trace this line segment two times. On one copy...Ch. 59 - Find the length of x. Round the answer to 2...Ch. 59 - Prob. 3ACh. 59 - Prob. 4ACh. 59 - Prob. 5ACh. 59 - Prob. 6ACh. 59 - Prob. 7ACh. 59 - Prob. 8ACh. 59 - Prob. 9ACh. 59 - Prob. 10A
Ch. 59 - Prob. 11ACh. 59 - Prob. 12ACh. 59 - Prob. 13ACh. 59 - Express each area as indicated. Round each answer...Ch. 59 - Prob. 15ACh. 59 - Prob. 16ACh. 59 - Prob. 17ACh. 59 - Prob. 18ACh. 59 - Prob. 19ACh. 59 - Prob. 20ACh. 59 - Prob. 21ACh. 59 - Prob. 22ACh. 59 - Prob. 23ACh. 59 - Prob. 24ACh. 59 - Prob. 25ACh. 59 - Prob. 26ACh. 59 - Prob. 27ACh. 59 - Prob. 28ACh. 59 - Prob. 29ACh. 59 - Prob. 30ACh. 59 - Prob. 31ACh. 59 - Prob. 32ACh. 59 - Prob. 33ACh. 59 - Prob. 34ACh. 59 - Prob. 35ACh. 59 - Prob. 36ACh. 59 - Prob. 37ACh. 59 - Prob. 38ACh. 59 - Prob. 39ACh. 59 - Prob. 40ACh. 59 - Prob. 41ACh. 59 - Prob. 42ACh. 59 - Prob. 43ACh. 59 - Prob. 44ACh. 59 - Prob. 45ACh. 59 - Prob. 46ACh. 59 - Prob. 47ACh. 59 - Prob. 48ACh. 59 - Prob. 49ACh. 59 - Prob. 50ACh. 59 - Prob. 51ACh. 59 - Prob. 52ACh. 59 - Prob. 53ACh. 59 - Prob. 54ACh. 59 - Prob. 55ACh. 59 - Prob. 56ACh. 59 - Prob. 57ACh. 59 - Prob. 58ACh. 59 - Prob. 59ACh. 59 - Prob. 60ACh. 59 - Prob. 61ACh. 59 - Prob. 62ACh. 59 - Prob. 63ACh. 59 - Prob. 64ACh. 59 - Prob. 65ACh. 59 - Prob. 66ACh. 59 - Prob. 67ACh. 59 - Prob. 68ACh. 59 - Prob. 69ACh. 59 - Prob. 70ACh. 59 - Prob. 71ACh. 59 - Prob. 72ACh. 59 - Prob. 73ACh. 59 - Prob. 74ACh. 59 - Find the unknown area, height, or base for each of...Ch. 59 - Find the unknown area, height, or base for each of...Ch. 59 - A cross section of an aluminum bar in the shape of...Ch. 59 - Prob. 78ACh. 59 - Prob. 79ACh. 59 - One of the examples showed how to find the area of...
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