The Essentials of GeometryD.C. Heath & Company, 1899 - 395 σελίδες |
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Σελίδα
... DIEDRAL BOOK VII . ANGLES . ― POLYEDRONS POLYEDRAL ANGLES . BOOK VIII . THE CYLINDER , CONE , AND SPHERE Book IX . MEASUREMENT OF THE CYLINDER , Cone , and SPHERE . APPENDIX TO SOLID GEOMETRY 211 217 220 233 273 319 360 386 GEOMETRY ...
... DIEDRAL BOOK VII . ANGLES . ― POLYEDRONS POLYEDRAL ANGLES . BOOK VIII . THE CYLINDER , CONE , AND SPHERE Book IX . MEASUREMENT OF THE CYLINDER , Cone , and SPHERE . APPENDIX TO SOLID GEOMETRY 211 217 220 233 273 319 360 386 GEOMETRY ...
Σελίδα 233
... it contains point C. Hence , a plane can be drawn through line AB and point C ; and it is evident that but one such plane can be drawn . II . Given A , B , and C three 233 SOLID GEOMETRY LINES AND PLANES IN SPACE - DIEDRAL.
... it contains point C. Hence , a plane can be drawn through line AB and point C ; and it is evident that but one such plane can be drawn . II . Given A , B , and C three 233 SOLID GEOMETRY LINES AND PLANES IN SPACE - DIEDRAL.
Σελίδα 253
... DIEDRAL ANGLES . DEFINITIONS . 428. A diedral angle is LINES AND PLANES IN SPACE . 253.
... DIEDRAL ANGLES . DEFINITIONS . 428. A diedral angle is LINES AND PLANES IN SPACE . 253.
Σελίδα 254
Webster Wells. DIEDRAL ANGLES . DEFINITIONS . 428. A diedral angle is the amount of divergence of two planes which meet in a straight line . The line of intersection of the planes is B called the edge of the diedral angle , and the ...
Webster Wells. DIEDRAL ANGLES . DEFINITIONS . 428. A diedral angle is the amount of divergence of two planes which meet in a straight line . The line of intersection of the planes is B called the edge of the diedral angle , and the ...
Σελίδα 255
... diedral angle ( § 429 ) . 432. Two diedral angles are equal when their faces may be made to coincide . PROP . XIX . THEOREM . 433. Two diedral angles are equal if their plane angles are equal . B B E ' Given ABC and A'B'C ' plane of ...
... diedral angle ( § 429 ) . 432. Two diedral angles are equal when their faces may be made to coincide . PROP . XIX . THEOREM . 433. Two diedral angles are equal if their plane angles are equal . B B E ' Given ABC and A'B'C ' plane of ...
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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.