Plane GeometryCharles E. Merrill Company, 1904 - 372 σελίδες |
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Αποτελέσματα 1 - 5 από τα 100.
Σελίδα 14
... side of the angle with the letter at the vertex between these two , as the angle ABC . Since the size of an angle is indepen- dent of the length of its sides , the points named on its sides may be taken at any place on its sides . Thus ...
... side of the angle with the letter at the vertex between these two , as the angle ABC . Since the size of an angle is indepen- dent of the length of its sides , the points named on its sides may be taken at any place on its sides . Thus ...
Σελίδα 32
... sides ; the angles of a tri- angle are the angles formed by the sides , as the angles A , B B and C ; the vertices of a triangle are the vertices of the angles of the triangle . B 83. An exterior angle of a triangle is an angle formed ...
... sides ; the angles of a tri- angle are the angles formed by the sides , as the angles A , B B and C ; the vertices of a triangle are the vertices of the angles of the triangle . B 83. An exterior angle of a triangle is an angle formed ...
Σελίδα 33
... sides , and the base is the remaining side . 88. In a right triangle , the hypotenuse is the side oppo- site the right angle , and the legs are the sides adjacent to the right angle . 89. Altitudes , bisectors , medians . In any triangle , ...
... sides , and the base is the remaining side . 88. In a right triangle , the hypotenuse is the side oppo- site the right angle , and the legs are the sides adjacent to the right angle . 89. Altitudes , bisectors , medians . In any triangle , ...
Σελίδα 34
... sides opposite homologous angles in those triangles . We shall now proceed to determine first , the properties of a ... sides of a triangle is greater than the third side . For a straight line is the shortest line between two points ...
... sides opposite homologous angles in those triangles . We shall now proceed to determine first , the properties of a ... sides of a triangle is greater than the third side . For a straight line is the shortest line between two points ...
Σελίδα 35
... sides . B A Given AB any side of the △ ABC , and AC > BC . To prove Proof . AB > AC - BC . AB + BC > AC , Art . 92 . ( the sum of any two sides of a triangle is greater than the third side ) . Subtracting BC from each member of the ...
... sides . B A Given AB any side of the △ ABC , and AC > BC . To prove Proof . AB > AC - BC . AB + BC > AC , Art . 92 . ( the sum of any two sides of a triangle is greater than the third side ) . Subtracting BC from each member of the ...
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...