Plane and solid geometry . Given lines PA, PB, PC, PD drawn through a comroon point Pand intersecting the II lines AD and A^D^ at points A, B, c, D andA\ b\ c, d\ respectively. To prove AB BC AB BC i Argument 1. AD II AD\ 2. .-. A APB ^ A A^PB\ o AB PB CD cd ab pb4. Likewise A BPCBC PB A BP&. 5. And 6. bc AB AB PBBC bc 7. Likewise it can be proved thatBC CD 8. Bc ABA^ CD BCBC CDCD Reasons 1. By hyp. 2. § 423. 3. § 424, 2. 4. Args. 1-2. 5. §424,2. 6. § 54, 1. 7. By steps sim- ilar to l-(3. 8. § 54, 1. Ex. 691. If three or more non-parallel straight lines intercept pro-portional segments
Plane and solid geometry . Given lines PA, PB, PC, PD drawn through a comroon point Pand intersecting the II lines AD and A^D^ at points A, B, c, D andA\ b\ c, d\ respectively. To prove AB BC AB BC i Argument 1. AD II AD\ 2. .-. A APB ^ A A^PB\ o AB PB CD cd ab pb4. Likewise A BPCBC PB A BP&. 5. And 6. bc AB AB PBBC bc 7. Likewise it can be proved thatBC CD 8. Bc ABA^ CD BCBC CDCD Reasons 1. By hyp. 2. § 423. 3. § 424, 2. 4. Args. 1-2. 5. §424,2. 6. § 54, 1. 7. By steps sim- ilar to l-(3. 8. § 54, 1. Ex. 691. If three or more non-parallel straight lines intercept pro-portional segments on two parallels, they pass through a common point. 188 PLANE GEOMETRY Ex. 692. A man is riding in an automobile at the uniform rate of SOmiles an hour on one side of a road, while on a footpath on the other sidea man is walking in the opposite direction. If the distance between thefootpath and the auto track is 44 feet, and a tree 4 feet from the footpathcontinually hides the chauffeur from the pedestrian, does t
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Keywords: ., bookcentury1900, bookdecade1910, booksubjectgeometr, bookyear1912
