## Plane Geometry |

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### Common terms and phrases

AABC ABCD acute angle altitude angle equal angles are equal base angles bisect called central angle chord circumference circumscribed polygon congruent COROLLARY diagonals diameter distance divided Draw drawn equal angles equilateral triangle EXERCISES exterior angles figure Find the area geometry given circle given line given point Given the triangle given triangle Hence homologous homologous sides hypotenuse intercepted interior isosceles trapezoid isosceles triangle joining legs line-segment locus measured mid-points number of sides obtuse opposite sides parallelogram perimeter perpendicular bisector plane point equidistant produced proportional PROPOSITION protractor quadrilateral radii radius ratio rectangle regular inscribed polygon regular polygon rhombus right angle right triangle round angle segment semicircle Show straight angle straight line subtended tangent THEOREM third side trapezoid triangle ABC triangle are equal vertex angle vertices

### Popular passages

Page 121 - The line which joins the mid-points of two sides of a triangle is parallel to the third side and equal to one half of it.

Page 301 - The perimeters of two regular polygons of the same number of sides, are to each other as their homologous sides, and their areas are to each other as the squares of those sides (Prop.

Page 255 - The square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.

Page 151 - In the same circle, or in equal circles, if two chords are unequally distant from the center, they are unequal, and the chord at the less distance is the greater.

Page 131 - ... the third side of the first is greater than the third side of the second.

Page 105 - If a perpendicular is dropped from the vertex of the right angle of a right triangle to the hypotenuse, prove that the two triangles thus formed and the given triangle are mutually equiangular.

Page 119 - If three or more parallels intercept equal parts on one transversal, they intercept equal parts on every transversal. Given the parallels AB, CD, and EF intercepting equal parts on the transversal MN.

Page 165 - If two angles of a triangle are equal, the sides opposite are equal.

Page 130 - If two triangles have two sides of one equal respectively to two sides of the other...

Page 73 - Things which are equal to the same thing are equal to each other. 2. If equals are added to equals, the sums are equal. 3. If equals are subtracted from equals, the remainders are equal. 4. If equals are added to unequals, the sums are unequal.