Hart, C. A. (Clara Avis), b. 1863, Feldman, Daniel D., b. 1872 · New York, American Book Co · leaf 186
n the ratio of 3 to 5.Ex. 65*5. Divide a ^(iven line into segments proportional to 2, 3, and 4. BOOK III 175 Ex. 656. Construct two lines, given their sum and their ratio. Ex. 657. Construct two lines, given their difference and their ratio. Ex. 658. If a, 6, and c are three given lines, construct… … ABGiven A ABC, and DE so drawn that — AD To prove DE II BC. Argument 1. DE and BC are either II or not II. 2. Suppose that DE is not II BC, but that some other line through i), as DF, is IIBC. 3. Then —= ^.AD 4. But ^ = AFAC AD AE* 5. .-. AF= AE. 6. This is impossible. 7. /. DE II BC, Q.E.D. ACAE…
Geometry, Plane · Geometry, Solid
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