T H E E L E M E N T S |
Book IV Proposition 12 | |
Now, since the circumference BC is equal to CD, the angle BFC is also equal to the angle CFD. [III.27] And the angle BFC is double of the angle KFC, and the angle DFC of the angle LFC; therefore the angle KFC is also equal to the angle LFC. But the angle FCK is also equal to the angle FCL; therefore FKC, FLC are two triangles having two angles equal to two angles and one side equal to one side, namely FC which is common to them; therefore they will also have the remaining sides equal to the remaining sides, and the remaining angle to the remaining angle. [I.26] |
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