Plane GeometryAmerican Book Company, 1906 - 254 σελίδες |
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Σελίδα 221
... regular polygon , and chords be drawn connecting the points of intersection of these lines with the circumference , an inscribed regular polygon of the same number of sides will be formed and the sides of the two polygons will be ...
... regular polygon , and chords be drawn connecting the points of intersection of these lines with the circumference , an inscribed regular polygon of the same number of sides will be formed and the sides of the two polygons will be ...
Σελίδα 224
Edward Rutledge Robbins. Ex . 1. The apothem of a regular polygon perpendicular to a side bisects the side and the ... hexagon whose side is 8 and apothem is 4 √3 ? Ex . 5. What is the area of a regular dodecagon whose side is 10 √2 √3 ...
Edward Rutledge Robbins. Ex . 1. The apothem of a regular polygon perpendicular to a side bisects the side and the ... hexagon whose side is 8 and apothem is 4 √3 ? Ex . 5. What is the area of a regular dodecagon whose side is 10 √2 √3 ...
Σελίδα 230
... regular polygon is the supplement of the angle of the polygon . 2. An equiangular polygon inscribed in a circle is regular ( if the number of its sides is odd ) ... regular hexagon equals half 230 PLANE GEOMETRY Original Exercises (Theorems)
... regular polygon is the supplement of the angle of the polygon . 2. An equiangular polygon inscribed in a circle is regular ( if the number of its sides is odd ) ... regular hexagon equals half 230 PLANE GEOMETRY Original Exercises (Theorems)
Σελίδα 231
Edward Rutledge Robbins. 13. The apothem of an inscribed regular hexagon equals half the side of an inscribed equilateral triangle . 14. The area of a circle is four times the area of another circle described upon its radius as a ...
Edward Rutledge Robbins. 13. The apothem of an inscribed regular hexagon equals half the side of an inscribed equilateral triangle . 14. The area of a circle is four times the area of another circle described upon its radius as a ...
Σελίδα 232
Edward Rutledge Robbins. 23. If the sides of a circumscribed regular polygon are tangent to the circle at the vertices of an inscribed regular polygon , each vertex of the outer lies on the prolongation of the apothems of the inuer polygon ...
Edward Rutledge Robbins. 23. If the sides of a circumscribed regular polygon are tangent to the circle at the vertices of an inscribed regular polygon , each vertex of the outer lies on the prolongation of the apothems of the inuer polygon ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD acute angle altitude angle adjoining angle formed apothem base bisector bisects central angle circles are tangent circumscribed circle construct a square construct a triangle described diagonals diameter divided Draw chord Draw radii equal angles equal circles equal sides equally distant equiangular polygon equilateral triangle exterior angle figure Find the area given circle given line given point given triangle Hence homologous sides hypotenuse inches inscribed angle isosceles trapezoid isosceles triangle line joining lines be drawn mean proportional measured by arc median meeting number of sides pair parallel parallelogram perimeter perpendicular point of contact produced Prove quadrilateral ratio rectangle regular polygon rhombus right angles right triangle secant segments similar polygons similar triangles square equivalent Statement straight line tangent THEOREM trapezoid triangle ABC triangles are equal vertex vertex-angle vertices
Δημοφιλή αποσπάσματα
Σελίδα 42 - The measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles.
Σελίδα 148 - If a line divides two sides of a triangle proportionally, it is parallel to the third side.
Σελίδα 79 - A circle is a plane figure bounded by a curved line, every point of which is equally distant from a point within called the center.
Σελίδα 230 - An equiangular polygon inscribed in a circle is regular (if the number of its sides is odd) . 3.
Σελίδα 43 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Σελίδα 243 - Prove that the area of an inscribed regular hexagon is a mean proportional between the areas of the inscribed and the circumscribed equilateral triangles.
Σελίδα 49 - The line joining the mid-points of two sides of a triangle is parallel to the third side, and equal to half the third side.
Σελίδα 14 - The straight lines are called the sides of the triangle, and their points of intersection are the vertices of the triangle.
Σελίδα 145 - A line parallel to one side of a triangle divides the other two sides proportionally.
Σελίδα 186 - To construct a circle which shall pass through two given points and touch a given line. Given : Points A and B ; line CD. Construction: Draw line AB meeting CD ^ P"