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categoryرياضيات
schoolبكالوريوس
event_available2026-07-14
السؤال
Transcribed Image Text:
4. Again, assume that MM' is the common perpendicular segment between 1 and
1. Let A and B be any points of 1 such that M*A* B, and drop perpendiculars
AA' and BB' to 1'. Prove that AA' < BB'. (Hint: use Exercise 3, Chapter 5;
see Figure 6.19.)
9
B
A
M
I'
M'
A'
B'
B
3. With the same hypothesis as in Exercise 2, prove the converse, that if
(D)°<(C), then AC < BD. (Hint: assume the contrary, which involves
the two cases ACBD and AC > BD. In each case, derive a contradiction.)
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