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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 189

An illustration from Exercises on Euclid and in modern geometry for the use of schools, private students, and junior university students, 1881, leaf 189 — , andthe theorem is now manifest by (165). 195. If we assume six points on the circumference ofa circle, and join them in the order ABCDEFA (forminga figure which we may call, by an extension of the term, aninscribed hexagon or hexagram), the intersections of theopposite sides FA and CD, AB and DE,… … This is proved by applying to the figure here the words ofthe proof of (193). In like manner, if we join the six points in any other order,the points corresponding to L, M, J¥ will still be in a straightline. 196.] AND IN MODEKN GEOMETRY. 161 196. Given six points on the circumference of a…

Geometry

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