Plane and solid geometry . Given two similar A ABC and DEF, with two correspondingfaltitudes AH and DK. „ AH AB BC CA To prove — = -— = — = —. DK DE EF FD Argument 1. In rt. A ABH and DEK, A B — Ae. 2. ,\ AABH^ ADEK, o . ^H,oppositeZ ^_u4^,oppositeZ^g^* *z>ir, opposite Z^ Djs;, opposite Z^if/) . ^ . AB BC CA4. But = = —. 5. DE EF FDAH_AB_BC CADK^ DE~~ EF i(» D Reasons 1. §424,1. 2. §422. 3. §424,2. 4. §424,2. 5. §54,1, B(X)K in 187 Proposition XXI. Theorem 436. If three or more straight lines drawn through acommon point intersect two parallels, the correspondingsegments of the paralle
Plane and solid geometry . Given two similar A ABC and DEF, with two correspondingfaltitudes AH and DK. „ AH AB BC CA To prove — = -— = — = —. DK DE EF FD Argument 1. In rt. A ABH and DEK, A B — Ae. 2. ,\ AABH^ ADEK, o . ^H,oppositeZ ^_u4^,oppositeZ^g^* *z>ir, opposite Z^ Djs;, opposite Z^if/) . ^ . AB BC CA4. But = = —. 5. DE EF FDAH_AB_BC CADK^ DE~~ EF i(» D Reasons 1. §424,1. 2. §422. 3. §424,2. 4. §424,2. 5. §54,1, B(X)K in 187 Proposition XXI. Theorem 436. If three or more straight lines drawn through acommon point intersect two parallels, the correspondingsegments of the parallels are
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Keywords: ., bookcentury1900, bookdecade1910, booksubjectgeometr, bookyear1912
