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 168
e,there be drawn two straight lines to the circumference, oneto the bisection of the circumference, and the other at rightangles to the diameter, the squares on these two lines aretogether double of the square on the radius. Book III.] PROPOSITIOX XXXI. l6l Proposition XXXI. Theorem. In a circle,… … Let ABC be a 3, 0 its centre, and BC a diameter.Draw AC, dividing the S into the segments ABC, ADC. Join BA, AD, DC, AO.Then must the l in the semicircle BAG be a rt. l , and l insegment ABC, greater than a semicircle, less than a rt. l , and lin segment ADC, less than a semicircle, greater than a…
Geometry · Geometry, Plane
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