The Essentials of GeometryD.C. Heath & Company, 1899 - 395 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 56.
Σελίδα
... SPHERE Book IX . MEASUREMENT OF THE CYLINDER , Cone , and SPHERE . APPENDIX TO SOLID GEOMETRY · 360 386 GEOMETRY . PRELIMINARY DEFINITIONS . A material body . A.
... SPHERE Book IX . MEASUREMENT OF THE CYLINDER , Cone , and SPHERE . APPENDIX TO SOLID GEOMETRY · 360 386 GEOMETRY . PRELIMINARY DEFINITIONS . A material body . A.
Σελίδα 318
... of its entire surface . ( Ex . 85. ) ( Represent the edge by x . ) 87. The volume of a regular octaedron is equal to the cube of its edge multiplied by √2 . BOOK VIII . THE CYLINDER , CONE , AND SPHERE 318 - SOLID GEOMETRY . — BOOK VII .
... of its entire surface . ( Ex . 85. ) ( Represent the edge by x . ) 87. The volume of a regular octaedron is equal to the cube of its edge multiplied by √2 . BOOK VIII . THE CYLINDER , CONE , AND SPHERE 318 - SOLID GEOMETRY . — BOOK VII .
Σελίδα 319
Webster Wells. BOOK VIII . THE CYLINDER , CONE , AND SPHERE . DEFINITIONS . 540. A cylindrical surface is a surface generated by a moving straight line , which constantly intersects a given plane curve , and in all its positions is ...
Webster Wells. BOOK VIII . THE CYLINDER , CONE , AND SPHERE . DEFINITIONS . 540. A cylindrical surface is a surface generated by a moving straight line , which constantly intersects a given plane curve , and in all its positions is ...
Σελίδα 328
... SPHERE . DEFINITIONS . 561. A sphere is a solid bounded by a surface , all points of which are equally distant from a point within called the centre . A radius of a sphere is a straight line drawn from the centre to the surface . A ...
... SPHERE . DEFINITIONS . 561. A sphere is a solid bounded by a surface , all points of which are equally distant from a point within called the centre . A radius of a sphere is a straight line drawn from the centre to the surface . A ...
Σελίδα 329
... sphere made by a plane is a circle . P ( ? ) B Given ABC a section of sphere APC made by a plane . To Prove ABC a O. Proof . Let O be the centre of the sphere , and draw line 00 ' to plane ABC . Let A and B be any two points in ...
... sphere made by a plane is a circle . P ( ? ) B Given ABC a section of sphere APC made by a plane . To Prove ABC a O. Proof . Let O be the centre of the sphere , and draw line 00 ' to plane ABC . Let A and B be any two points in ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
AB² ABCD AC² adjacent angles altitude apothem approach the limit 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 equal respectively 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 Prove 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 58 - The straight line joining the middle points of two sides of a triangle is parallel to the third side, and equal to half of it.
Σελίδα 322 - A right circular cylinder may be generated by the revolution of a rectangle about one of its sides as an axis.
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 336 - A spherical polygon is a portion of the surface of a sphere bounded by three or more arcs of great circles. The...
Σελίδα 151 - If one leg of a right triangle is double the other, the perpendicular from the vertex of the right angle to the hypotenuse divides it into segments which are to each other as 1 to 4.
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 73 - A chord is a straight line joining the extremities of an arc ; as AB.
Σελίδα 202 - The circumferences of two circles are to each other as their radii. Given C and C" the circumferences of two © whose radii are R and R', respectively.