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TWo like Segments of Circles de∣scribed on equal Lines, are equal.
If the Segments of Circles AEB, CFD, are like, and if the Lines AB, CD, are equal, they shall be equal.
Demonstration. Let it be imagined that the Line CD be placed on AB, they shall not surpass each other, seeing they are supposed equal; and then the Segments AEB, CED, shall be de∣scribed on the same Line; and they shall then be equal by the preceding Proposi∣tion.
* 1.1 CƲrved Lined Figures are often re∣duced to Right Lined by this Propo∣sition. As if one should describe Two like Segments of Circles, AEC, ADB, on the equal sides AB, AC, of the Triangle ABC: It is evident that Transposing the Segment AEC, on ADB; the Tri∣angle ABC is equal to the figure ADBCEA.
Use 24.