Plane GeometryCharles E. Merrill Company, 1904 - 372 σελίδες |
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Σελίδα 42
... joining the vertices bisects the vertex angles , and also bisects the base at right angles . Ex . 2. Hence , at any point in a given straight line , construct exactly by use of ruler and compasses a perpendicular to that line . Ax . 1 ...
... joining the vertices bisects the vertex angles , and also bisects the base at right angles . Ex . 2. Hence , at any point in a given straight line , construct exactly by use of ruler and compasses a perpendicular to that line . Ax . 1 ...
Σελίδα 66
... joining two vertices that are not adjacent . 145. A trapezium is a quadrilateral no two of whose sides are parallel . 146. A trapezoid is a quadrilateral which has two , and only two , of its sides parallel . 147. A parallelogram is a ...
... joining two vertices that are not adjacent . 145. A trapezium is a quadrilateral no two of whose sides are parallel . 146. A trapezoid is a quadrilateral which has two , and only two , of its sides parallel . 147. A parallelogram is a ...
Σελίδα 73
... joining two vertices which are not adjacent , as BD in Fig . 1 . B G H F Fig . 1 K Fig . 2 165. An equilateral polygon is a polygon all of whose sides are equal . 166. An equiangular polygon is a polygon all of whose angles are equal ...
... joining two vertices which are not adjacent , as BD in Fig . 1 . B G H F Fig . 1 K Fig . 2 165. An equilateral polygon is a polygon all of whose sides are equal . 166. An equiangular polygon is a polygon all of whose angles are equal ...
Σελίδα 79
... joining E and F is || AD and BC and ( AD + BC ) . = Proof . Draw the diagonal BD and take G its mid- point . Draw EG and GF . Then , in the △ ABD , EG || AD and = 3 AD , Art . 177 . ( the line which joins the midpoints of two sides of ...
... joining E and F is || AD and BC and ( AD + BC ) . = Proof . Draw the diagonal BD and take G its mid- point . Draw EG and GF . Then , in the △ ABD , EG || AD and = 3 AD , Art . 177 . ( the line which joins the midpoints of two sides of ...
Σελίδα 86
... joining the extremities of the produced parts equals the third side of the triangle ( i e . , DE = BA ) . B Ex . 4. If equal segments from the base be laid off on the legs of an isosceles triangle , lines drawn from the ends of these ...
... joining the extremities of the produced parts equals the third side of the triangle ( i e . , DE = BA ) . B Ex . 4. If equal segments from the base be laid off on the legs of an isosceles triangle , lines drawn from the ends of these ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD acute angle adjacent angles altitude apothem base bisects chord circumference circumscribed circumscribed circle coincide construct a square Construct a triangle denoted diagonal diameter divided draw a line equal angles equal circles equiangular polygon equidistant equilateral triangle EXERCISES exterior angle figure Find the area Find the radius geometric given angle given circle given line given point given triangle greater Hence homologous sides hypotenuse inscribed angle inscribed polygon intersect isosceles trapezoid isosceles triangle LAOB length Let the pupil line drawn median method midpoint number of sides parallel lines parallelogram perimeter plane PROBLEM produced Prop pupil supply Q. E. D. Ex Q. E. D. PROPOSITION quadrilateral radii ratio rectangle regular inscribed regular polygon rhombus right angles right triangle secant segments tangent THEOREM third side trapezoid triangle ABC vertex vertex angle vertices
Δημοφιλή αποσπάσματα
Σελίδα 82 - Prove analytically that the medians of a triangle meet in a point. 70. Prove analytically that the perpendiculars from the vertices of a triangle to the opposite sides meet in a point.
Σελίδα 88 - The median to the base of an isosceles triangle is perpendicular to the base.
Σελίδα 103 - PERIPHERY of a circle is its entire bounding line ; or it is a curved line, all points of which are equally distant from a point within called the center.
Σελίδα 211 - If from a point without a circle a secant and a tangent are drawn, the tangent is the mean proportional between the whole secant and its external segment.
Σελίδα 78 - The line joining the midpoints of two sides of a triangle is parallel to the third side and equal to one-half of it.
Σελίδα 103 - A chord is a straight line joining the extremities of an arc.
Σελίδα 47 - If two triangles have two sides of one equal respectively to two sides of the other...
Σελίδα 114 - In the same circle or in equal circles, if two chords are unequal, they are unequally distant from the center, and the greater chord is at the less distance.
Σελίδα 315 - Find the area of a regular hexagon inscribed in a circle whose diameter is twelve inches.
Σελίδα 241 - If two triangles have an angle of one equal to an angle of the other, and...