The Essentials of GeometryD.C. Heath & Company, 1899 - 395 σελίδες |
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Σελίδα
... POLYGONS 72 ― SIMILAR POLYGONS 122 . 162 Book V. REGULAR POLYGONS . - MEASUREMENT OF THE CIRCLE . 188 APPENDIX TO PLANE GEOMETRY . MAXIMA AND MINIMA OF PLANE FIGURES SYMMETRICAL FIGURES ADDITIONAL EXERCISES . SOLID GEOMETRY . Book VI ...
... POLYGONS 72 ― SIMILAR POLYGONS 122 . 162 Book V. REGULAR POLYGONS . - MEASUREMENT OF THE CIRCLE . 188 APPENDIX TO PLANE GEOMETRY . MAXIMA AND MINIMA OF PLANE FIGURES SYMMETRICAL FIGURES ADDITIONAL EXERCISES . SOLID GEOMETRY . Book VI ...
Σελίδα 52
... . ( Fig . of Prop . XXX . Prove CD 1 AB as in Ex . 31. ) 33. If one angle of a parallelogram is a right angle , the figure is a rectangle . POLYGONS . DEFINITIONS . 118. A polygon is a portion 52 PLANE GEOMETRY . — BOOK I.
... . ( Fig . of Prop . XXX . Prove CD 1 AB as in Ex . 31. ) 33. If one angle of a parallelogram is a right angle , the figure is a rectangle . POLYGONS . DEFINITIONS . 118. A polygon is a portion 52 PLANE GEOMETRY . — BOOK I.
Σελίδα 53
Webster Wells. POLYGONS . DEFINITIONS . 118. A polygon is a portion of a plane bounded by three or more straight lines ; as ABCDE . The bounding lines are called the sides of the polygon , and their sum is called the perimeter .. The ...
Webster Wells. POLYGONS . DEFINITIONS . 118. A polygon is a portion of a plane bounded by three or more straight lines ; as ABCDE . The bounding lines are called the sides of the polygon , and their sum is called the perimeter .. The ...
Σελίδα 54
... polygon FGHIK , the interior angle GHI is greater than two right angles . Such an angle is called re - entrant . 122. Two polygons are said to be mutually equilateral when the sides of one are equal respectively to the sides of the ...
... polygon FGHIK , the interior angle GHI is greater than two right angles . Such an angle is called re - entrant . 122. Two polygons are said to be mutually equilateral when the sides of one are equal respectively to the sides of the ...
Σελίδα 55
... polygon is equal to two right angles taken as many times , less two , as the polygon has sides . Given a polygon of n sides . - To Prove the sum of its equal to n − 2 times two rt . 4 . Proof . The polygon may be divided into n − 2 ...
... polygon is equal to two right angles taken as many times , less two , as the polygon has sides . Given a polygon of n sides . - To Prove the sum of its equal to n − 2 times two rt . 4 . Proof . The polygon may be divided into n − 2 ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
AB² ABCD AC² adjacent angles altitude apothem approach the limit area ABC axis base and altitude BC² bisector bisects centre chord circle circumference circumscribed coincide cone of revolution Converse of Prop diagonals diameter diedral angle distance Draw line EFGH equal respectively equally distant equivalent exterior angle faces Find the area frustum Given line given point Hence homologous homologous sides hypotenuse intersecting isosceles triangle lateral area lateral edges line drawn line joining middle point number of sides parallel parallelogram parallelopiped perimeter perpendicular plane MN polyedral polyedron prism pyramid quadrilateral radii radius rectangle regular inscribed regular polygon rhombus right angles right triangle segment side BC similar slant height spherical polygon spherical triangle square tangent tetraedron THEOREM trapezoid triangle ABC triangular prism triedral vertex vertices volume Whence
Δημοφιλή αποσπάσματα
Σελίδα 371 - A zone is a portion of the surface of a sphere included between two parallel planes.
Σελίδα 49 - ... the three sides of one are equal, respectively, to the three sides of the other. 2. Two right triangles are congruent if...
Σελίδα 261 - The projection of a point on a plane is the foot of the perpendicular drawn from the point to the plane.
Σελίδα 336 - A spherical polygon is a portion of the surface of a sphere bounded by three or more arcs of great circles. The...
Σελίδα 73 - A chord is a straight line joining the extremities of an arc ; as AB.
Σελίδα 328 - A sphere is a solid bounded by a surface all points of which are equally distant from a point within called the centre.
Σελίδα 205 - S' denote the areas of two © whose radii are R and R', and diameters D and D', respectively. Then, | = "* § = ££ = £• <§337> That is, the areas of two circles are to each other as the squares of their radii, or as the squares of their diameters.
Σελίδα 170 - 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.
Σελίδα 224 - The perpendiculars from the vertices of a triangle to the opposite sides are the bisectors of the angles of the triangle formed by joining the feet of the perpendiculars.
Σελίδα 325 - A right circular cone may be generated by the revolution of a right triangle about one of its legs as an axis.