Plane GeometryMacmillan, 1901 |
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Σελίδα ix
Arthur Schultze. III . or red blue blue To prove the opposite sides of the quadrilateral are equal . 6. Discourage mere memorizing . Many students form dur- ing the first weeks of study the habit of relying too much upon their memories ...
Arthur Schultze. III . or red blue blue To prove the opposite sides of the quadrilateral are equal . 6. Discourage mere memorizing . Many students form dur- ing the first weeks of study the habit of relying too much upon their memories ...
Σελίδα 4
... sides . lie in the same straight line but extend in opposite directions , as ACB . 31. When two straight lines inter- sect so as to form four equal angles , each angle is called a right angle , as EOD , DOF , etc. A right angle is half ...
... sides . lie in the same straight line but extend in opposite directions , as ACB . 31. When two straight lines inter- sect so as to form four equal angles , each angle is called a right angle , as EOD , DOF , etc. A right angle is half ...
Σελίδα 11
... sides , and whose sum is the perimeter of the polygon . The angles included by the adjacent sides are the angles of the polygon , and their vertices are the vertices of the polygon . An exterior angle ... side opposite the right TRIANGLES 11.
... sides , and whose sum is the perimeter of the polygon . The angles included by the adjacent sides are the angles of the polygon , and their vertices are the vertices of the polygon . An exterior angle ... side opposite the right TRIANGLES 11.
Σελίδα 12
Arthur Schultze. 66. In a right triangle the side opposite the right angle is called the hypotenuse , and the other two sides , the arms . 67. The three perpendiculars from the vertices of a triangle to the opposite sides ( produced if ...
Arthur Schultze. 66. In a right triangle the side opposite the right angle is called the hypotenuse , and the other two sides , the arms . 67. The three perpendiculars from the vertices of a triangle to the opposite sides ( produced if ...
Σελίδα 14
Arthur Schultze. PROPOSITION III . THEOREM 72. Two triangles are equal if two sides and the included angle of the one are equal respectively to two sides ... opposite each other are equal . 73. REMARK . -The equality of lines and angles is ...
Arthur Schultze. PROPOSITION III . THEOREM 72. Two triangles are equal if two sides and the included angle of the one are equal respectively to two sides ... opposite each other are equal . 73. REMARK . -The equality of lines and angles is ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
AABC ABCD adjacent angles algebraic altitude angle equal angle formed angles are equal apothem base angle bisect bisector central angle circumference construct a triangle decagon diagonals diagram for Prop diameter draw drawn equiangular equiangular polygon equilateral triangle equivalent exterior angle find a point Find the area given circle given line given point given triangle HINT homologous sides hypotenuse inscribed isosceles triangle joining the midpoints line joining mean proportional measured by arc median opposite sides parallel lines parallelogram perimeter perpendicular perpendicular-bisector point equidistant produced proof is left PROPOSITION prove Proof proving the equality quadrilateral radii rectangle regular hexagon regular polygon rhombus right angle right triangle SCHOLIUM School secant segments side equal similar polygons similar triangles straight angle straight line tangent THEOREM third side transversal trapezoid triangle ABC triangle are equal vertex vertical angle
Δημοφιλή αποσπάσματα
Σελίδα 148 - If two chords intersect within a circle, the product of the segments of one is equal to the product of the segments of the other.
Σελίδα 180 - The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. B' ADC A' D' C' Hyp. In triangles ABC and A'B'C', ZA = ZA'.
Σελίδα 45 - If two triangles have two sides of one equal respectively to two sides of the other, but the included angle of the first triangle greater than the included angle of the second, then the third side of the first is greater than the third side of the second.
Σελίδα 31 - The median to the base of an isosceles triangle is perpendicular to the base.
Σελίδα 209 - The area of a regular polygon is equal to onehalf the product of its apothem and perimeter.
Σελίδα 130 - If a line divides two sides of a triangle proportionally, it is parallel to the third side.
Σελίδα 71 - The midpoints of two opposite sides of a quadrilateral and the midpoints of the diagonals determine the vertices of a parallelogram. * Ex.
Σελίδα 26 - If one angle of a triangle is equal to the sum of the other two, the triangle can be divided into two isosceles triangles.
Σελίδα 190 - The areas of two similar triangles are to each other as the squares of any two homologous sides.
Σελίδα 56 - A line which joins the midpoints of two sides of a triangle is parallel to the third side and equal to half of it.