Definition: 1.16: Center of the Circle

And the point is1 called the center of the circle.

Modern Definition

Euclid's definition corresponds to today's formulation.

Example

A circle with the center \(C\).

Fig5p1p9

  1. Definition: Concentric Circles

Corollaries: 1
Definitions: 2 3 4 5 6 7 8
Proofs: 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75
Propositions: 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97


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Github:
bookofproofs
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References

Adapted from (subject to copyright, with kind permission)

  1. Fitzpatrick, Richard: Euclid's "Elements of Geometry"

Footnotes


  1. i.e. the point used in the proceeding Definition 15 from Book 1 of Euclid's “Elements”.