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Vectors: magnitude, direction and products

Divide a segment in a stated ratio · Diagrams

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Ratio theorem with a common reference

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Two schematic triangles have the same A,P,B order with AP:PB=λ:μ. Their common starting point is O in one panel and C in the other. Rays to A,P,B are directed from that common reference. Equal λ and μ give the midpoint.
Two schematic triangles have the same A,P,B order with AP:PB=λ:μ. Their common starting point is O in one panel and C in the other. Rays to A,P,B are directed from that common reference. Equal λ and μ give the midpoint.
Two schematic triangles have the same A,P,B order with AP:PB=λ:μ. Their common starting point is O in one panel and C in the other. Rays to A,P,B are directed from that common reference. Equal λ and μ give the midpoint.
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