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Text-book of Euclid's elements for the use of schools : books I - VI and XI (1900)

Hall, H. S. (Henry Sinclair), 1848-1934, Stevens, F. H. (Frederick Haller), 1853-1933 · MacMillan : London · leaf 345

An illustration from Text-book of Euclid's elements for the use of schools : books I - VI and XI, 1900, leaf 345
e said to have their sides about oneangle in each reciprocally proportional when a side of thefirst figure is to a side of the second as the remaining side ofthe second figure is to the remaining side of the first. 5. A straight line is said to be divided in extreme andmean ratio when the whole is… … Let ABC, ACD be two triangles of the same altitude,namely the perpendicular from A to BD. Then shall the A ABC : the A ACD :: BC : CD. Produce BD both ways ;and from CB produced cut off any number of parts BG, GH,each equal to BC; and from CD produced cut off any number of parts DK, KL,LM, each…

Geometry · Mathematics

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