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How to construct a Vesica Pisces (two equal circles passing through each other's center),
with a given radius and a given common center?
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| 1. |
| Determine the radius and the given common center.
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| 2. |
| Determine the main direction (through the given center).
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| 3. |
| Construct a circle with the given point as its center, and with the given radius.
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| 4. |
| Construct the perpendicular bisector of the righthand half of the centerline (diameter) of circle 3.
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| 5. |
| Construct a circle concentric to circle 3, passing through the intersection of lines 2 and 4.
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| 6. |
| Construct a circle centered at the lefthand intersection of line 2 and circle 5, passing through the intersection of lines 2 and 4.
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| 7. |
| Construct a circle centered at the righthand intersection of line 2 and circle 5, passing through the lefthand intersection of line 2 and circle 5.
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| 8. |
| Circles 6 and 7 together make up the Vesica Pisces to be constructed, are equal, have the given radius, pass through each other's center, and have the given point as their common center.
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