In this astronomical chart (front and back) Gibbes provides a diagram of the phases of the eclipse and the circle of the Earth's shadow when the moon enters the shadow, eclipse begins, middle of eclipse, end of eclipse and the moon leaving the shadow. On the back of the page Gibbes provides the elements for constructing the diagram. Those elements are hourly motion, declination, hourly motion in declination, horizontal parallax and semidiameter. Gibbes also provides the time of the aforementioned phases.
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Lewis R. Gibbes Papers, 1800s-1893, 1937✖[remove]1