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Elements of geometry : containing the first six books of Euclid, with a supplement on the quadrature of the circle, and the geometry of solids : to which are added, Elements of plane and spherical geometry (1826)

Playfair, John, 1748-1819, Euclid · Philadelphia : Marot & Walter · leaf 75

An illustration from Elements of geometry : containing the first six books of Euclid, with a supplement on the quadrature of the circle, and the geometry of solids : to which are added, Elements of plane and spherical geometry, 1826, leaf 75
join CF.DE touches the circle ABC, and FC isdrawn from the centre to the point ofcontact, FC is perpendicular (13. 3.) toDE; therefore FCE is a right angle:But ACE is also a right angle; thereforethe angle FCE is equal to the angleACE, the less to the greater, which is im-possible : Wherefore F is… … OF GKOMETRY. BOOK III. PROP. XX. THEOR. The angle at the centre of a circle is double of the an-gle at the circumference, upop the same base, that is, uponihe same point of the circumference. Let ABC be a circle, and BDC an angle at the centre and B AC anana;le at the circumference, which have the…

Euclid's Elements · Geometry · Trigonometry

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