The Synoptical Euclid; Being the First Four Books of Euclid's Elements of Geometry from the Edition of Dr. Robert Simson ... With Exercises. By S. A. Good ... Second EditionCharles Henry Law, 1854 - 120 σελίδες |
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Σελίδα 118
... pentagon ; and likewise a circle may be inscribed in a given equilateral and equiangular hexagon , and circumscribed about it , by a method like to that used for the pentagon . PROP . XVI . - PROBLEM . To inscribe an equilateral and ...
... pentagon ; and likewise a circle may be inscribed in a given equilateral and equiangular hexagon , and circumscribed about it , by a method like to that used for the pentagon . PROP . XVI . - PROBLEM . To inscribe an equilateral and ...
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AB is equal AC is equal adjacent angles angle ABC angle ACB angle AGH angle BAC angle BCD angle EDF angle equal base BC bisected circle ABC circumference diameter double draw equal angles equal Constr equal Hyp equal straight lines equal to BC equilateral and equiangular EUCLID'S ELEMENTS exterior angle given circle given point given rectilineal angle given straight line given triangle gnomon greater inscribed interior and opposite less Let ABC Let the straight likewise opposite angles parallel to CD parallelogram pentagon perpendicular point F produced Q.E.D. PROP rectangle AE rectangle contained remaining angle required to describe right angles semicircle side BC square of AC straight line AB straight line AC straight line drawn touches the circle triangle ABC twice the rectangle