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We continue in this work studying a new Algol (Arabic name) star, which we discovered during our survey on a field located at the edge of the Pleiades open cluster. We have observed this field in the period 2007 – 2010 with three different CCD-camera s at the University Observatory Jena in Germany using three telescopes from 0.25 to 0.9 m. Our discovered star has an orbital period of days. The location of this star in the HRD is consistent with the age and distance of the already known Pleiades stars in this field. The derived spectral type of the primary star is G9 and K7 for the secondary one. Assuming that our star is a main-sequence star, the derived mass and radius are and for the primary, and for the secondary. refers to the primary star, where refers to the secondary star. is the solar mass, and is the solar radius.
In this research we study the spherical and right angle spherical triangle of the elliptic geometry and study the history of elliptic geometry, and define the geodesic and spherical and polar triangles, and at the end we study the spherical trigon ometerical relations. The study aimed to: explain some of the spherical triangles applications on other sciences. determine the location of star in the space, find the horizontal angle of the correspondent oblique angle. find the angle of landing and embarkation of the airplane and calculate the time the airplane spend on route between tow destinations on the glob surface.
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