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13 Cards in this Set
- Front
- Back
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What problems did Polya discuss in the first section of his book?
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Equal angles - solid geometry
Rates question Method of loci Diagonal of a parellelpiped |
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Going back to definitions? (106/272)
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Parabola problem
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Auxiliary element?
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Construct a triangle given the altitude and perimeter
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Auxiliary problem?
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pg 51 (70/272) - introducing a substitution to solve a quartic
pg 52 (71/272) - diagonal of a parallelepiped given three edges from the same corner |
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Name the example which illustrates that the RESULT of the auxiliary problem is used.
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Name the example which illustrates that the METHOD of the auxiliary problem is used.
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Auxiliary unknown?
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Quartic equations
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Can you derive the result differently?
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Area of the lateral surface of the frustrum of a right circular cone
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Examining your guess? (121/272)
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Square - perimeter - largest area
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Can you derive something useful from the data?
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Line through A equidistant from B and C
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Decomposing and recombining - change both the unknown and the data? (99/272)
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Triangle construction - given a side a, altitude h and angle opposite to a
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What auxiliary element is featured in section 10 in Polya's book?
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What example illustrates a WAY TO CHECK A RESULT?
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frustum of a pyramid (79/272) - test by specialisation
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