242 SCIENTIST IN RUSSIA Geometry. 3 hours per week in first £ year. 2 hours per week in second i year. Introduction (12 hours); triangles (30 hours); parallel lines (28 hours); problems (10 hours). CLASS 7 6 hours per week; 196 hours in all. (14 hours for revision of algebra and geometry; 18 hours for revision of arithmetic.) Algebra. 4 hours per week in first £ year. 3 hours per week in second i year. Algebraic fractions (124 hours); proportions (6 hours); first degree equations of one unknown (30 hours); systematic study of first degree equations (18 hours); evolution of quadratic roots (12 hours), Geometry. 1 hours per week in first £ year. 3 hours per week in second i year. Quadrilaterals (26 hours); circles (32 hours); inscribed and circum- scribed circles (16 hours). CLASS 8 6 hours per week: 196 hours in all (16 hours for revision.) Algebra. 4 hours per week in first i year. 3 hours per week in second \ year. Powers and roots (30 hours); quadratics and equations of higher powers (42 hours); systematic study of second degree equations with two unknowns (10 hours); functions and graphs (10 hours). Geometry. 2 hours per week in first J year. 3 hours per week in second J- year. Similar figures (30 hours); trigonometrical functions (acute angles) 12 hours; metrical correlations in triangles and circles (20 hours); understanding of the applications of algebra to geometry (4 hours); areas of polygons (14 hours). CLASS 9 6 hours per week (196 hours in all—12 hours for revision). Algebra. 2 hours per week. Progressions (14 hours); powers; concept of index of powers (8 hours); exponential functions and logarithms (36 hours). Geometry. 2 hours per week in first f year. ' 3 hours per week in last J- year. Plane geometry; rectilinear polygons (12 hours); length of circum- ference and area of circle (15 hours); solid geometry (43 hours) involving straight lines only. Trigonometry. 2 hours per week in first £ year. 1 hour per week in last £ year.