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adjacent altitude base bisects called chord circle circumference circumscribed common Compare Compare the ratio cone Connect construct contained COROLLARY definition demonstration diagonal diameter distance divided draw drawn edges equal equally distant expressed extended extremities faces fall figure formed four Give auth given line given point greater half Hence hypotenuse included inscribed intercepted interior angles intersect joining kind lateral less limit locus mean measured meet method middle point number of sides opposite parallel parallel lines parallelogram passes perimeter perpendicular Place plane polygon possible prism PROBLEM Prop proportion PROPOSITION prove pyramid quantities radius ratio rectangle relation represent respectively right angles segment sides similar sphere spherical square straight line surface sustain tangent THEOREM third transversal triangle unequal unit of measure vertex vertices volume
Σελίδα 135 - The square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.
Σελίδα 136 - ... they have an angle of one equal to an angle of the other and the including sides are proportional; (c) their sides are respectively proportional.
Σελίδα 61 - If two triangles have two sides of one equal to two sides of the other but the third side of the first greater than the thin!
Σελίδα 290 - ADC ; the last two are therefore right angles ; hence the arc drawn from the vertex of an isosceles spherical triangle to the middle of the base, is perpendicular to the base, and bisects the vertical angle.
Σελίδα 209 - The projection of a point on a plane is the foot of the perpendicular from the point to the plane. The projection of a figure upon a plane is the locus of the projections of all the points of the figure upon the plane. Thus, A'B' represents the projection of AB upon plane MN.
Σελίδα 117 - If two polygons are composed of the same number of triangles, similar each to each and similarly placed, the polygons are similar.
Σελίδα 99 - It is read the ratio of a to b equals the ratio of c to d, or briefly, a is to b as c is to d.
Σελίδα 252 - A truncated triangular prism is equivalent to the sum of three pyramids whose common base is the base of the prism and whose vertices are the three...