Divide a straight line into two parts, so that the rectangle contained by the whole and one part may be equal to the square on the other part. (i) Let AB be the given straight line. It is required to divide it internally in K, so that AK2 = AB BK. On AB describe square ACDB. Bisect AC in E. Join EB and produce CA to G making EGEB. On AG describe square AGHK, then K is the required point. Produce HK to L [Fig. 59 (i)]. G H K' A B K B A E D E C G D
Divide a straight line into two parts, so that the rectangle contained by the whole and one part may be equal to the square on the other part. (i) Let AB be the given straight line. It is required to divide it internally in K, so that AK2 = AB BK. On AB describe square ACDB. Bisect AC in E. Join EB and produce CA to G making EGEB. On AG describe square AGHK, then K is the required point. Produce HK to L [Fig. 59 (i)]. G H K' A B K B A E D E C G D
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Divide a straight line into two parts, so that the rectangle contained by
the whole and one part may be equal to the square on the other part.
(i) Let AB be the given straight line. It is required
to divide it internally in K, so that AK2 = AB BK. On AB describe
square ACDB. Bisect AC in E. Join EB and produce CA to G making
EG EB. On AG describe square AGHK, then K is the required
point. Produce HK to L [Fig. 59 (i)].
G
H
A
B
K
A
E
B
D
E
C
D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8547368d-61ae-448e-997c-bb66faf12143%2F2afb4f9d-6479-495b-9013-0a8a6cff434b%2F7zgn1wd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Divide a straight line into two parts, so that the rectangle contained by
the whole and one part may be equal to the square on the other part.
(i) Let AB be the given straight line. It is required
to divide it internally in K, so that AK2 = AB BK. On AB describe
square ACDB. Bisect AC in E. Join EB and produce CA to G making
EG EB. On AG describe square AGHK, then K is the required
point. Produce HK to L [Fig. 59 (i)].
G
H
A
B
K
A
E
B
D
E
C
D
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