Plane Geometry: I. Abridged and Applied. II. College Preparatory |
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Plane Geometry: I. Abridged and Applied; II. College Preparatory Matilda Auerbach No preview available - 2015 |
Plane Geometry: I. Abridged and Applied. II. College Preparatory Matilda Auerbach,Charles Burton Walsh No preview available - 2016 |
Common terms and phrases
AABC ABCD angles are equal Antilog B₁ bisects C₁ central angle chord circumference congruent Construct a triangle diagonals diagram diameter distance Draw drawn equal circles equiangular polygon equilateral triangle EXERCISES exterior angle figure Find the area Find the length Find the locus given circle given line given point given sect homologous homologous sides hypotenuse intercepted arc intersection isosceles triangle line parallel locus of points logarithms Mathematics mean proportional measure median method mid-points number of sides opposite sides P₁ parallelogram perimeter Plane Geometry point of contact Problem Prove quadrilateral radii radius ratio rectangle regular circumscribed polygon regular inscribed polygon regular polygon right angles right triangle secant semiperimeter Show similar triangles square straight angle straight line subtended tangent Theorem third side transversal trapezoid triangle ABC triangle is equal unequal vertex angle vertices
Popular passages
Page 372 - ... meeting the plane at unequal distances from the foot of the perpendicular the more remote is the greater.
Page 368 - In any triangle, the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides diminished by twice the product of one of those sides and the projection of the other upon that side.
Page 369 - In any obtuse triangle, the square of the side opposite the obtuse angle is equal to the sum of the squares of the other two sides, increased by twice the product of one of these sides and the projection of the other side upon it.
Page 366 - Prove that, if from a point without a circle a secant and a tangent be drawn, the tangent is a mean proportional between the whole secant and the part without the circle.
Page 327 - Two triangles which have an angle of one equal to the supplement of an angle of the other are to each other as the products of the sides including the supplementary angles.
Page 370 - In an isosceles triangle the angles opposite the equal sides are equal.
Page 78 - The square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.
Page 48 - The image appears to be as far behind the mirror as the object is in front of it.
Page 370 - The bisector of an angle of a triangle divides the opposite side into segments proportional to the adjacent sides.
Page 259 - The sum of the squares of two sides of a triangle is equal to twice the square of half the third side increased by twice the square of the median upon that side.