. A treatise on plane and spherical trigonometry, and its applications to astronomy and geodesy, with numerous examples . 4 PLANE TRIGONOMETRY. angle and whose ends are on the sides of the angle (Geom.,Art. 236). Let the line OP of fixed length generate an angle byrevolving in the positive directionround a fixed point 0 from an initialposition OA. Since OP is of constantlength, the point P will trace out thecircumference ABAB whose centreis 0. The two perpendicular diam-eters A A and BB of this circle willinclose the four right angles AOB,BOA, AOB, and BOA. The circumference is divided at the


. A treatise on plane and spherical trigonometry, and its applications to astronomy and geodesy, with numerous examples . 4 PLANE TRIGONOMETRY. angle and whose ends are on the sides of the angle (Geom.,Art. 236). Let the line OP of fixed length generate an angle byrevolving in the positive directionround a fixed point 0 from an initialposition OA. Since OP is of constantlength, the point P will trace out thecircumference ABAB whose centreis 0. The two perpendicular diam-eters A A and BB of this circle willinclose the four right angles AOB,BOA, AOB, and BOA. The circumference is divided at the points A, B, A, Bfinto four quadrants, of which AB is called the first second third ^ u u u fourth quadrant. In the? figure, the angle AOP1? between the initial lineOA and the revolving line 0P1? is less than a right angle,and is said to be an angle in the first quadrant. AOP2 isgreater than one and less than two right angles, and is said tobe an angle in the second quadrant. AOP3 is greater than twoand less than three right angles, and is said to be an anglein the third quadrant. Atreatiseonplanes00bows


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Keywords: ., bookcentury1900, bookdecade1900, booksubjecttrigono, bookyear1902