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Popular passages
Page 52 - If two planes are perpendicular to each other, a straight line drawn in one of them, perpendicular to their intersection, is perpendicular to the other.
Page 44 - PLANE GEOMETRY: The usual theorems and constructions of good text-books, including the general properties of plane rectilinear figures; the circle and the measurement of angles; similar polygons; areas; regular polygons and the measurement of the circle. The solution of numerous original exercises, including loci problems. Applications to the mensuration of lines and plane surfaces.
Page 53 - The sum of the face angles of any convex polyhedral angle is less than four right angles.
Page 25 - He will do more in the same time, he will do it better, he will persevere longer. One is scarcely sensible of fatigue whilst he marches to music. The very stars are said to make harmony as they revolve in their spheres.
Page 53 - ... of two oblique lines meeting the plane at unequal distances from the foot of the perpendicular the more remote is the greater.
Page 6 - The acquisition, in precise form, of those ideas or concepts in terms of which the quantitative thinking of the world is done.
Page 52 - If a straight line is perpendicular to each of two other straight lines at their point of intersection, it is perpendicular to the plane of the two lines.
Page 23 - First year: Applied arithmetic (as in plan A), intuitive geometry, algebra Second year : Algebra, intuitive geometry. Third year : Trigonometry, demonstrative geometry, applied arithmetic. By this plan Algebra is confined chiefly to the first two years. . |( PLAN D. First year: Applied arithmetic (as in plan A), intuitive geometry. Second year: Intuitive geometry, algebra. Third year : Algebra, trigonometry, applied arithmetic.