Elements of geometry : containing books I to VI and portions of books XI and XII of Euclid, with exercises and notes (1881)
Smith, J. Hamblin (James Hamblin), 1829-1901, Kirkland, Thomas, 1835-1898 · Toronto : W.J. Gage · leaf 268
to the second. Thus here AB has to CE the duplicate ratio of AB to AC. Def. III. When three magnitudes are proportionals, the firstis said to have to the third the ratio compounded of the ratio,which the first has to the second, and of the ratio, which thesecond has to the third. Tluis here AB has… … Let A, B, C be the three given st. lines. It is required to find a fourth iJroi:(yrtional to A, B, C. Take DE, DF, two st. lines making an z EDF, and in these make DG=A, GE=B, and DH=C, L 3. and through E draw EF \\ to GR. L 31.Then, / GH is \\ to EF, .-. DG is to GE as DH is to HE, VI. 2. and /.A…
Geometry · Geometry, Plane
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