Ratios Fundamentals
Barycentric Coordinates with respect to a triangle

cf. Section 10.3 (BP'94) and Section 1.5 (PBP'99)
The barycentric coordinates of a point with respect to a triangle correspond to several ratios on the sides of the triangle.
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Barycentric Coordinates with respect to a triangle II

cf. Section 1.5 (PBP'99)
Other ratios on the sides of a triangle corresponding to the barycentric coordinates of a point.
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Projective Figures Fundamentals
Pappus' Theorem

cf. Section 22.3 (BP'94)
The pairs of opposite sides of a planar hexagon intersect in three collinear points.
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Dual Theorem of Pappus

cf. Section 22.3 (BP'94)

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Pascal's Theorem

cf. Section 22.5 (BP'94)
Relationship between six points on a conic section.
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Brianchon's Theorem

cf. Section 22.6 (BP'94)
Relationship between six tangents to a conic section.
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