## Plane and Solid Geometry |

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### Common terms and phrases

ABCD altitude angle axis base bisector called chord circle circular circumscribed common completed cone congruent Construct COROLLARY corresponding cube cylinder determine diagonals diameter difference dihedral angle dimensions distance divided Draw drawn edges equal equidistant equilateral triangle EXERCISES faces figure Find formed four geometry given given line given point greater half height Hence hexagon inscribed intersection isosceles joining lateral area legs length limit locus mean measured meet method opposite parallel parallelogram passes perimeter perpendicular placed plane polygon prism PROBLEM projection Proof proportional PROPOSITION prove pyramid radii radius ratio rays rectangle regular regular polygons represent respectively result right angle right triangle segment Show shown sides similar solid sphere square straight line surface tangent THEOREM third triangle units vertex vertices volume

### Popular passages

Page 255 - The square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.

Page 121 - The line which joins the mid-points of two sides of a triangle is parallel to the third side and equal to one half of it.

Page 301 - The perimeters of two regular polygons of the same number of sides, are to each other as their homologous sides, and their areas are to each other as the squares of those sides (Prop.

Page 209 - If two triangles have an angle of one equal to an angle of the other, and...

Page 439 - The axis of a circle of a sphere is the diameter of the sphere which is perpendicular to the plane of the circle. The ends of the axis are called the poles of the circle.

Page 439 - A sphere is a solid bounded by a surface all points of which are equally distant from a point within called the centre.

Page 275 - The areas of two similar polygons are to each other as the squares of any two homologous sides.

Page 131 - ... the third side of the first is greater than the third side of the second.

Page 362 - If two intersecting planes are each perpendicular to a third plane, their intersection is perpendicular to that plane.

Page 265 - If two chords intersect within a circle, the product of the segments of one chord is equal to the product of the segments of the other.