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planetary hours: system of hour reckoning, see article on time and date.
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planetary temperaments: astrological character of the fixed stars; as assigned in classical astrology, each star had a nature and effect similar to one or more of the planets.
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planisphere: a representation of a spherical body on a flat surface, commonly a map of the earth or of the heavens.
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planispheric astrolabe: astronomical instrument based on a planispheric projection of the heavens, see article on the astrolabe.
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plate: part of an astrolabe with a projection of altitude and azimuth lines on to the equatorial plane, see article on the astrolabe.
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plumb level: device for determining a horizontal level or an angle of elevation by a plumb line or plummet.
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plumb line: a suspended thread with a weight at its end, indicating the vertical.
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plummet: a form of plumb line in which the 'line' and weight are a single rigid piece.
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polar dial: type of sundial, see article on the sundial.
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polyhedral dial: sundial with hour lines on various faces of a solid figure, see article on the sundial.
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prime vertical: celestial great circle passing through the east and west points and the zenith.
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primum mobile: instrument for finding the sines and versed signs of angles, see article on the primum mobile.
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projection: translation of a figure on to a plane or curved surface using straight lines in a systematic way. For example, a spherical surface can be projected on to a plane (the plane of projection) by means of straight lines drawn from all points on the surface to a certain defined point (the point of projection) and marking where they intersect the plane. In a stereographic projection, such as is used for the ordinary astrolabe, points on a containing circle are projected on to an equatorial plane from one pole; in an orthographic projection, such as is used in a Rojas design of universal astrolabe, the point of projection is at infinity and the projection lines are parallel.
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proportional compasses: drawing instrument consisting of two legs each with points at either end; used for transferring dimensions in enlarged or reduced ratio.
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proportional dividers: drawing instrument consisting of two legs each with points at either end; used for transferring dimensions in enlarged or reduced ratio.
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proportional instrument: unusual instrument used to mechanically perform functions in trigonometry.
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protractor: instrument for setting out and measuring degrees.
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quadragesima: the 40 days of Lent or the first Sunday in Lent.
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quadrans vetus: type of horary quadrant, see article on the quadrant.
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quadrant: instrument based on a quarter of a circle, see article on the quadrant.
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