Plane and Solid Geometry: Suggestive Method |
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A B and C D adjacent angles altitude angles are equal apothem arc A B base and altitude bisector bisects chord circumference circumscribed Compare Complete the demonstration construct COROLLARY diagonal diameter dihedral angle distance divided Draw drawn equal in area equally distant equilateral Find frustum geometry Give auth given line given point hypotenuse inscribed polygon interior angles intersect isosceles triangle lateral area lateral edges Let A B C limit locus middle point number of sides parallel lines parallelogram parallelopiped perimeter perpendicular plane angles plane M N polyhedron prism PROPOSITION pyramid quantities radius ratio rectangle regular inscribed regular polygon represent respectively right angles right triangle SCHOLIUM segment slant height sphere spherical polygon spherical triangle square straight line subtended Suggestion surface tangent Theorem triangle A B C trihedral unit of measure variable which approaches vertex volume zero
Popular passages
Page 29 - If two triangles have two sides, and the included angle of the one equal to two sides and the included angle of the other, they are equal in all their parts.
Page 82 - A circle is a portion of a plane bounded by a curved line, all points of which are equally distant from a point within called the centre.
Page 190 - In any right-angled triangle, the square described on the hypotenuse is equal to the sum of the squares described upon the other two sides.
Page 71 - 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!
Page 13 - We assume that but one straight line can be drawn through a given point parallel to a given straight line.
Page 163 - If two polygons are composed of the same number of triangles, similar each to each, and similarly placed, the polygons are similar.
Page 64 - I cannot see why it is so very important to know that the lines drawn from the extremities of the base of an isosceles triangle to the middle points of the opposite sides are equal! The knowledge doesn't make life any sweeter or happier, does it?
Page 87 - The locus of a point at a given distance from a given point is the circumference described from the point with the
Page 362 - DE : but equal triangles on the same base and on the same side of it, are between the same parallels ; (i.
Page 60 - Theorem. // two angles of a triangle are unequal, the sides opposite them are unequal, and the greater side is opposite the greater angle.