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g the same surface. Two of these squares lie at the northern pole of the Galaxy and are designated GA_1 and GA_2. Twelve lie north of the galactic plane, between 0 deg. and 30 deg. galactic latitude, and are designated GC_1, GC_2, ..., GC_12. The corresponding squares south of the galactic equator (the plane of the Galaxy) are called GD_1, GD_2, ..., GD_12. The two polar squares at the south pole are called GF_1 and GF_2. Finally we have 10 B-squares, between the A- and C-squares and 10 corresponding E-squares in the southern hemisphere. The distribution of the squares in the heavens is here graphically represented in the projection of FLAMSTEED, which has the advantage of giving areas proportional to the corresponding spherical areas, an arrangement necessary, or at least highly desirable, for all stellar statistical researches. It has also the advantage of affording a continuous representation of the whole sky. The correspondence between squares and stellar constellations is seen from plate II. Arranging the constellations according to their galactic longitude we find north of the galactic equator (in the C-squares) the constellations:-- Hercules, Cygnus, Cepheus, Cassiopaea, Auriga, Gemini, Canis Minor, Pyxis, Vela, Centaurus, Scorpius, Ophiuchus, and south of this equator (in the D-squares):-- Aquila, Cygnus, Lacerta, Andromeda, Perseus, Orion, Canis Major, Puppis, Carina, Circinus, Corona australis, Sagittarius, mentioning only one constellation for each square. At the north galactic pole (in the two A-squares) we have:-- Canes Venatici and Coma Berenices, and at the south galactic pole (in the two F-squares):-- Cetus and Sculptor. 3. _Changes in the position of a star._ From the positions of a star on two or more occasions we obtain its apparent motion, also called the _proper motion_ of the star. We may distinguish between a _secular_ part of this motion and a _periodical_ part. In both cases the motion may be either a reflex of the motion of the observer, and is then called _parallactic_ motion, or it may be caused by a real motion of the star. From the parallactic motion of the star it is possible to deduce its distance from the sun, or its parallax. The periodic parallactic proper motion is caused by the motion of the earth around the sun, and gives the _annual parallax_ ([pi]). In order to obtain available annual parallaxes of a star it is usually necessary for
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