## Plane and Solid Geometry |

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### Common terms and phrases

altitude angle approach base bisector bisects chord circle circular circumference circumscribed coincide common cone construct containing cutting cylinder described diagonals diameter dihedral angles divided Draw drawn edges equally distant equiangular equilateral triangle equivalent Explain external face figure Find Find the area formed four frustum given line given point greater half Hence hexagon homologous hypotenuse inches included indefinitely inscribed intersecting isosceles triangle lateral area legs length less limit locus mean measured meet midpoint opposite pair parallel parallelepiped parallelogram pass perimeter perpendicular plane MN polygon polyhedron prism PROBLEM Proof proportional Prove pyramid quadrilateral radii radius ratio rectangle regular regular polygon Required respectively right angles right triangle segments sides similar sphere spherical triangle square Statement straight line Suppose surface tangent THEOREM third trapezoid unit vertex vertices volume

### Popular passages

Page 139 - If the product of two quantities is equal to the product of two others, one pair may be made the extremes, and the other pair the means, of a proportion.

Page 228 - An equiangular polygon inscribed in a circle is regular (if the number of its sides is odd) . 3.

Page 41 - 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.

Page 47 - 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 241 - The area of a regular inscribed hexagon is a mean proportional between the areas of the inscribed and circumscribed equilateral triangles. Ex.

Page 146 - If a line divides two sides of a triangle proportionally, it is parallel to the third side.

Page 12 - The straight lines are called the sides of the triangle, and their points of intersection are the vertices of the triangle.

Page 143 - A line parallel to one side of a triangle divides the other two sides proportionally.

Page 268 - If from the foot of a perpendicular to a plane a line be drawn at right angles to any line of the plane, and...

Page 340 - The lateral area of a circular cylinder is equal to the product of the perimeter of a right section of the cylinder by an element. Let S denote the lateral area, P the perimeter of a right section, and E an element of the cylinder AC.