New Plane Geometry
Ginn, 1899 - Geometry, Modern - 252 pages
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Common terms and phrases
ABCD altitude base becomes bisected bisectors called central angles chord circle circumference circumscribed coincide common congruent considered construct Converse COROLLARIES corresponding definition described determined diagonals diameter difference distance divided draw drawn equal equal angles equidistant equilateral Exercises exterior angles figure Find four geometry given line given point greater half Hence included inscribed interior intersecting isosceles triangle joining less locus mean measure meet mid-points moved NOTE opposite sides parallel parallelogram passes perigon perpendicular placed plane polygon Problem produced Proof prop proportional PROPOSITION prove quadrilateral radius ratio rectangle regular represent Required respectively right angle segments similar Similarly solution square step straight angle straight line student suggested supplemental Suppose surface tangent Theorem third transversal triangle true unequal vertex vertices XVII zero
Page 172 - A line parallel to one side of a triangle divides the other two sides proportionally.
Page 161 - The first and last terms of a proportion are called the extremes, and the two middle terms are called the means.
Page 147 - To draw a tangent to a given circle from a given point.
Page 186 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Page 121 - The perpendicular bisector of a chord passes through the center of the circle and bisects the arcs subtended by the chord.
Page 202 - That is, the number which represents its square units of area is the product of the two numbers which represent its base and altitude. For in prop. II, if R' = 1, the square unit of area, then a' and 6' must each equal 1, the unit of length.
Page 162 - If the product of two numbers equals the product of two other numbers, either two may be made the means and the other two the extremes of a proportion.
Page 38 - If two triangles have two sides of the one respectively equal to two sides of the other, and the...
Page 131 - An angle in a segment is greater than, equal to, or less than, a right angle, according as the segment is less than, equal to, or greater than, a semicircle.
Page 65 - The lines joining the mid-points of the opposite sides of a quadrilateral bisect each other.