## Plane and Solid Geometry |

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### Common terms and phrases

ABCD altitude base bisectors called chord circle circular circumference circumscribed coincide common Compare cone congruent construct contained Corollary corresponding cube curve cylinder diagonal diameter difference dihedral angle distance divide Draw drawn edges equal EXERCISES faces fact figure Find fixed follows four Geometry given given line given point greater half height hence hypotenuse inches included inscribed interior angles intersection isosceles joining lateral length less locus means measured meet NOTE opposite parallel parallelepiped parallelogram passes perimeter perpendicular placed plane polygon portion prism Problem Proof proportional prove pyramid radius ratio rectangle regular polygon respectively right angles right triangle segment Show sides similar solid sphere spherical square straight line student surface tangent Theorem third trihedral unit vertex vertices volume

### Popular passages

Page 168 - The area of a rectangle is equal to the product of its base and altitude ; that is, A = ab. 443. Corollary 1. The area of a square is equal to the square of its side. 444. Corollary 2. Tiro rectangles are to each other as the products of their bases and altitudes.

Page 140 - The straight line joining the middle points of two sides of a triangle is parallel to the third side, and equal to half of it.

Page 154 - If two chords intersect within a circle, the product of the segments of one is equal to the product of the segments of the other.

Page 53 - If two parallel lines are cut by a transversal, the alternate interior angles are equal.

Page 133 - If the product of two numbers is equal to the product of two other numbers, either two may be made the means, and the other two the extremes of a proportion.

Page 66 - If two triangles have two sides of the one equal to two sides of the...

Page 309 - The sum of the angles of a spherical triangle is greater than two and less than six right angles ; that is, greater than 180° and less than 540°. (gr). If A'B'C' is the polar triangle of ABC...

Page 294 - 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 134 - If four quantities are in proportion, they are in proportion by inversion ; that is, the second term is to the first as the fourth is to the third.

Page 67 - The perpendicular is the shortest line that can be drawn from a point to a straight line.