The Essentials of GeometryD.C. Heath & Company, 1899 - 395 σελίδες |
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Σελίδα
... 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 . LINES AND PLANES IN SPACE . - DIEDRAL BOOK VII ...
... 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 . LINES AND PLANES IN SPACE . - DIEDRAL BOOK VII ...
Σελίδα 187
... their sum . ( Construct squares equivalent to the A. ) 74. To construct a triangle similar to two given similar triangles , and equivalent to their difference . BOOK V. REGULAR POLYGONS . — MEASUREMENT OF THE CIRCLE AREAS OF POLYGONS . 187.
... their sum . ( Construct squares equivalent to the A. ) 74. To construct a triangle similar to two given similar triangles , and equivalent to their difference . BOOK V. REGULAR POLYGONS . — MEASUREMENT OF THE CIRCLE AREAS OF POLYGONS . 187.
Σελίδα 188
... regular polygon is a polygon which is both equilateral and equiangular . PROP . I. THEOREM . 340. A circle can be circumscribed about , or inscribed in , any regular polygon . E D B C Given regular polygon ABCDE . To Prove that a O can ...
... regular polygon is a polygon which is both equilateral and equiangular . PROP . I. THEOREM . 340. A circle can be circumscribed about , or inscribed in , any regular polygon . E D B C Given regular polygon ABCDE . To Prove that a O can ...
Σελίδα 189
... regular polygon is the common centre of the circumscribed and inscribed circles . The angle at the centre is the angle between the radii drawn to the extremities of any side ; as ... regular dodecagon . 3. Of a regular REGULAR POLYGONS . 189.
... regular polygon is the common centre of the circumscribed and inscribed circles . The angle at the centre is the angle between the radii drawn to the extremities of any side ; as ... regular dodecagon . 3. Of a regular REGULAR POLYGONS . 189.
Σελίδα 190
Webster Wells. 2. Of a regular dodecagon . 3. Of a regular polygon of 32 sides . 4. Of a regular polygon of 25 sides . PROP . II . THEOREM . 343. If the circumference of a circle be divided into any number of equal arcs , I. Their chords ...
Webster Wells. 2. Of a regular dodecagon . 3. Of a regular polygon of 32 sides . 4. Of a regular polygon of 25 sides . PROP . II . THEOREM . 343. If the circumference of a circle be divided into any number of equal arcs , I. Their chords ...
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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 equally distant equilateral 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.