А 4.7 Let ABC be an equilateral triangle in scribed in a circle. Let D, E be the mid points of two sides, and extend DE to meet the circle at F. Prove that E divides F the segment DF in extreme and mean ratio, ie. the rectangle EF x DF equals the square DE. Hint: Use (III.35)
А 4.7 Let ABC be an equilateral triangle in scribed in a circle. Let D, E be the mid points of two sides, and extend DE to meet the circle at F. Prove that E divides F the segment DF in extreme and mean ratio, ie. the rectangle EF x DF equals the square DE. Hint: Use (III.35)
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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Question
Use the following proposition (Euclid's Elements Book III, Prop 35) for assistance: "If in a circle two straight lines cut one another, the rectangle contained by the segments of the one is equal to the rectangle contained by the segments of the other"
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