## Plane and Solid Geometry |

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### Common terms and phrases

AABC ABCD altitude angle base bisector bisects called chord circle circumscribed common cone congruent Construct corresponding cylinder diagonals diagram diameter dihedral angle distance divided Draw drawn equal equidistant equivalent faces figure Find Find the area Find the volume four given line given point greater half Hence hexagon hypotenuse included inscribed intersecting isosceles triangle joining length limit locus means measured meet method mid-points NOTE parallel parallelogram passing perimeter perpendicular plane polygon prism PROBLEM projection Proof Proof STATEMENTS REASONS Prop proportional PROPOSITION prove pyramid quadrilateral radii radius ratio rectangle respectively right angles right triangle segments sides similar sphere spherical square straight line surface tangent THEOREM third trapezoid triangle vertex vertices

### Popular passages

Page 154 - In any proportion, the product of the means is equal to the product of the extremes.

Page 71 - If two triangles have two sides of one equal respectively to two sides of the other, but the included angle of the first triangle greater than the included angle of the second, then the third side of the first is greater than the third side of the second.

Page 313 - MEASURE. 10 millimeters (mm.) = 1 centimeter (cm.) 10 centimeters = 1 decimeter (dm.) 10 decimeters = 1 meter (m.) 10 meters = 1 dekameter (Dm.) 10 dekameters = 1 hektometer (Hm.) 10 Hektometers = 1 kilometer (Km.) 10 kilometers = 1 myriameter (Mm.) 1 meter = 39.37 inches.

Page 183 - If two chords intersect in a circle, the product of the segments of one is equal to the product of the segments of the other.

Page 364 - Two rectangular parallelopipeds are to each other as the products of their bases and their altitudes. Given M and N, two rectangular parallelopipeds, B and B' their bases, and a and a' their altitudes respectively.

Page 156 - If four quantities are in proportion, they are in proportion by alternation, ie the first term is to the third as the second is to the fourth.

Page 417 - THEOREM. Every section of a sphere, made by a plane, is a circle.

Page 120 - ... both are tangent to the same straight line at the same point. They are tangent internally or externally, according as one circle lies within or without the other.

Page 403 - ABC, a section of the cone made by plane passing through vertex A. To prove ABC a triangle. Proof.

Page 84 - 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.