## Plane and Solid Geometry |

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### Common terms and phrases

ABCD altitude approaches base bisector bisects called chord circle circular circumscribed coincide common cone congruent construct COROLLARY corresponding cylinder describe diagonal diameter difference dihedral angles distance divide draw drawn edges equal equidistant equilateral triangle equivalent EXERCISE external faces fall figure Find follows formed four frustum geometry given line given point greater half Hence included inscribed intersecting isosceles joining length less limit locus measured meet mid-point opposite parallel parallelepiped parallelogram passes perimeter perpendicular placed plane plane MN Post prism PROBLEM produced Proof proportional PROPOSITION prove pyramid quadrilateral radii radius ratio rectangle regular polygon respectively right angle right triangle segments sides similar sphere spherical square straight line Suppose surface tangent THEOREM third triangle triangle ABC vertex vertices volume

### Popular passages

Page 1 - Pythagorean theorem, which states that the square of the hypotenuse of a right triangle equals the sum of the squares of the other two sides.

Page 67 - The line joining the midpoints of two sides of a triangle is parallel to the third side and equal to one-half of it.

Page 292 - The line joining the mid-points of two sides of a triangle is parallel to the third side, and equal to half the third side.

Page 190 - If in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I.

Page 101 - In the same circle or in equal circles, if two chords are unequally distant from the center, they are unequal, and the chord at the less distance is the greater.

Page 54 - America, but know that we are alive, that two and two make four, and that the sum of any two sides of a triangle is greater than the third side.

Page 201 - Two triangles having an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles.

Page 432 - 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 vertices of the inclined section.

Page 58 - ... the third side of the first is greater than the third side of the second.

Page 51 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.