Plane GeometryMacmillan, 1901 |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 7.
Σελίδα 195
... regular polygon . HINT . - Circumscribe a circle about the given polygon and prove that the center is equidistant ... hexagon pass through the center . Ex . 916. A triangle is regular if the centers of the circumscribed and inscribed ...
... regular polygon . HINT . - Circumscribe a circle about the given polygon and prove that the center is equidistant ... hexagon pass through the center . Ex . 916. A triangle is regular if the centers of the circumscribed and inscribed ...
Σελίδα 198
... hexagon in a given circle . B E Construction . In the given circle ACD , draw the radius AO . From A as a center , with a radius equal to OA , draw an arc meeting the circumference in B. Draw AB . AB is the side of a regular hexagon ...
... hexagon in a given circle . B E Construction . In the given circle ACD , draw the radius AO . From A as a center , with a radius equal to OA , draw an arc meeting the circumference in B. Draw AB . AB is the side of a regular hexagon ...
Σελίδα 199
... regular hexagon . ( Why ? ) ( Why ? ) Q.E.F. 398. COR . 1. By joining the alternate vertices of an in- scribed regular hexagon , an inscribed equilateral triangle is formed . 399. COR . 2. Polygons of 3 , 6 , 12 , 24 , etc. , sides may ...
... regular hexagon . ( Why ? ) ( Why ? ) Q.E.F. 398. COR . 1. By joining the alternate vertices of an in- scribed regular hexagon , an inscribed equilateral triangle is formed . 399. COR . 2. Polygons of 3 , 6 , 12 , 24 , etc. , sides may ...
Σελίδα 202
... regular inscribed hexagon is a mean pro- portional between the areas of the inscribed and circumscribed equi- lateral triangles . Ex . 942. Any radius of a regular polygon bisects an angle of the polygon . Ex . 943. The diagonals drawn ...
... regular inscribed hexagon is a mean pro- portional between the areas of the inscribed and circumscribed equi- lateral triangles . Ex . 942. Any radius of a regular polygon bisects an angle of the polygon . Ex . 943. The diagonals drawn ...
Σελίδα 203
... regular hexagon equivalent to one - half of a given regular hexagon . Ex . 947. Construct a regular pentagon equivalent to the sum of two given regular pentagons . PROPOSITION IX . THEOREM 406. The perimeters of regular polygons of the ...
... regular hexagon equivalent to one - half of a given regular hexagon . Ex . 947. Construct a regular pentagon equivalent to the sum of two given regular pentagons . PROPOSITION IX . THEOREM 406. The perimeters of regular polygons of the ...
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.