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Plane and solid geometry (1912)

Hart, C. A. (Clara Avis), b. 1863, Feldman, Daniel D., b. 1872 · New York, American Book Co · leaf 390

An illustration from Plane and solid geometry, 1912, leaf 390
+ ^H(B-b),It now remains to find the value o^ H*. 3.4. b_ B ■Vb H f2 nVb 5. Whence H* = Vi-V6 6. ..V=\HB+^ nVb VB--Vh ^(B^b) = i HB + ^ lib + ^ H\^B • b ;le, V == i II(B -f b + VB 6). Q.E.D. Reasons 1. § 54, 11. 2. § 805. a § 757. 4. § 54,13. 5. Solving for fi*. 6. § 309. BOOK VII 379 Proposition… … Given truncated triangular prism ACD-FGK, To prove ACD-FGK =c= F-ACD + G-ACD + K-ACD. Argument 1. Through A, D, F and if, D, F pass planes dividing frustum ACD-FGK intothree triangular pyramids F-ACD,F-ADK, and F-DGK. Since F-ACD isone of the required pyramids, it re-mains to prove F-ADK =0= K-ACD…

Geometry, Plane · Geometry, Solid

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