Plane GeometryMacmillan, 1901 |
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Αποτελέσματα 1 - 5 από τα 58.
Σελίδα 4
... bisector of angle ABD . 30. A straight angle is an angle whose 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 ...
... bisector of angle ABD . 30. A straight angle is an angle whose 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 ...
Σελίδα 7
... bisectors of a pair of adjacent sup- plementary angles ? 25. Three lines meet in a point , O , forming six angles , 1 , 2 , 3 , 4 , 5 , and 6. Find angle 3 , if angle 1 = 80 ° and angle 5 = 60 ° . GENERAL TERMS 42. A theorem is a ...
... bisectors of a pair of adjacent sup- plementary angles ? 25. Three lines meet in a point , O , forming six angles , 1 , 2 , 3 , 4 , 5 , and 6. Find angle 3 , if angle 1 = 80 ° and angle 5 = 60 ° . GENERAL TERMS 42. A theorem is a ...
Σελίδα 10
... bisector be produced through O , prove that COD is also bisected . Ex . 28. If three lines , AB , CD , and EF , meet in a point , O , prove LAOE - LFOD = LAOC . Ex . 29. In the same diagram , prove : LAOE + LEOD – LAOD = 2 LAOC . Ex ...
... bisector be produced through O , prove that COD is also bisected . Ex . 28. If three lines , AB , CD , and EF , meet in a point , O , prove LAOE - LFOD = LAOC . Ex . 29. In the same diagram , prove : LAOE + LEOD – LAOD = 2 LAOC . Ex ...
Σελίδα 12
... bisectors of the angles are Altitude called the bisectors of the triangle ; and the three lines from the vertices to the midpoints of the opposite sides are called the medians of the triangle . PROPOSITION II . THEOREM 68. Two triangles ...
... bisectors of the angles are Altitude called the bisectors of the triangle ; and the three lines from the vertices to the midpoints of the opposite sides are called the medians of the triangle . PROPOSITION II . THEOREM 68. Two triangles ...
Σελίδα 13
... bisector of an angle to meet the sides of the angle , two equal triangles are formed . Ex . 33. If through the midpoint of a straight line any line be drawn to meet the perpendiculars erected at the ends of the given line , two equal ...
... bisector of an angle to meet the sides of the angle , two equal triangles are formed . Ex . 33. If through the midpoint of a straight line any line be drawn to meet the perpendiculars erected at the ends of the given line , two equal ...
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.