2. Given n coplanar points, no three of which are collinear, use combinations to find how new quadrilaterals are determined when point P+1 is added to the set of n coplanar points. Notice that when point Ps is added to set of four, no three of which are collinear, four new quadrilaterals are created: P, P2P3P5, P,P2P4P5, P,P3P4P5, P, P3 P4 Ps. Explain why the process is correct. P4 Pn-1 P4 Pn P3 P3 P5 P+1 P2 P1 P2 P1
2. Given n coplanar points, no three of which are collinear, use combinations to find how new quadrilaterals are determined when point P+1 is added to the set of n coplanar points. Notice that when point Ps is added to set of four, no three of which are collinear, four new quadrilaterals are created: P, P2P3P5, P,P2P4P5, P,P3P4P5, P, P3 P4 Ps. Explain why the process is correct. P4 Pn-1 P4 Pn P3 P3 P5 P+1 P2 P1 P2 P1
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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Transcribed Image Text:2.
2. Given n coplanar points, no three of which are collinear, use combinations to find how new quadrilaterals are
determined when point Pn+1 is added to the set of n coplanar points. Notice that when point Pg is added to set of
four, no three of which are collinear, four new quadrilaterals are created: P P2P3P5, P1P2P4P5, P¿P3P4P5,
P4
P,P3 P4 P5. Explain why the process is correct.
Pn-1
P4
Pn
P3
P3
P5
Pnt1
P2
P1
P2
P1
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