Exercises on Euclid and in modern geometry for the use of schools, private students, and junior university students (1881)
McDowell, James L · Cambridge, Deighton, Bell, and Co. · leaf 110
s OBE and ODH are equal. Also the quadrilateral OHDF is circumscribable by a circle,therefore the angles ODH and OFff are equal. Therefore the angles OGE and OFff are equal. Again, the angles OEG and OBG are equal, but OBG and ODFare equal, since they stand on the same arc AO, and the angles ODFand… … 118. If perpendiculars he drawn from any point on thecircumference of a circle to the sides of an inscribed triangle,their feet are in the same straight line. Let the perpendiculars OD, OE, OF be drawn from any point0 on the circumference to the sides ofthe inscribed triangle A BC; then shallthe…
Geometry
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