Plane Geometry |
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Common terms and phrases
AABC ABCD altitude Analysis and construction angles are equal axis base bisects central angle circumscribed diagonals diameter dihedral angles distance divided Draw drawn equal angles equal chords equal segments equilateral triangle figure Find the area Find the total Find the volume frustum give the proof given line given point given segment hypotenuse Hypothesis increased indefinitely inscribed angle interior angles intersect isosceles triangle lateral area lateral faces Let the pupil lune measure mid-point number of degrees number of sides parallel lines parallelepiped parallelogram perimeter perpendicular bisector Plane Geometry polyhedral angle polyhedrons prismatoid prove pupil give pyramid quadrilateral radii radius rectangle regular polygon rhombus right angles right circular cone right section right triangle segment joining segments or angles semicircle solid sphere spherical polygon spherical triangle square straight line tangent THEOREM total area trapezoid triangular prism vertices
Popular passages
Page 87 - The distance between two points on the surface of a sphere is the length of the minor arc of a great circle between them.
Page 300 - Square Measure 144 square inches (sq. in.) = 1 square foot (sq. ft.) 9 square feet = 1 square yard (sq.
Page 193 - The perpendicular bisectors of the sides of a triangle are concurrent at a point which is equally distant from the vertices.
Page 186 - The exterior angle of a triangle is equal to the sum of the two non-adjacent interior angles.
Page 198 - The area of a trapezoid is equal to one-half the product of the altitude and the sum of the bases. THEOREM 116. Two parallelograms or two triangles are equivalent if 1. They have equal bases and are between the same parallels. 2. a = a
Page 180 - LENGTH 12 inches (in.) = 1 foot (ft.) 3 feet = 1 yard (yd.) 5| yards = 1 rod (rd.) 320 rods = 1 mile (mi.) 1 mile = 1,760 yd.
Page 185 - The internal bisector of an angle of a triangle divides the opposite side internally in the ratio of the sides containing the angle, and likewise the external bisector externally.
Page 196 - If two polygons are composed of the same number of triangles, similar each to each and similarly placed, the polygons are similar.
Page 192 - An angle formed by a tangent and a chord is measured by onehalf the intercepted arc.
Page 245 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.