| 11. | Each straight line segment is an tangency between the given isoquant and one of the cost curves.
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| 12. | The points having the minimum vertical separation are also the tangency points for the maximally separated parallel tangents.
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| 13. | If intersects in only one point, then it is a tangent line and is the point of tangency.
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| 14. | The set of all such tangency points is called the firm's " expansion path ".
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| 15. | A line connecting all points of tangency between the indifference curve and the budget constraint is called the expansion path.
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| 16. | The relationship between transversality and tangency is clearest when \ ell _ 1 + \ ell _ 2 = m.
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| 17. | Hence, the points of tangency between the transformed circles lie on a line midway between the two parallel lines.
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| 18. | In M�bius geometry, tangency between a line and a circle becomes a special case of tangency between two circles.
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| 19. | In M�bius geometry, tangency between a line and a circle becomes a special case of tangency between two circles.
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| 20. | The investor's optimal portfolio is found at the point of tangency of the efficient frontier with the indifference curve.
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