The Essentials of GeometryD.C. Heath & Company, 1899 - 395 σελίδες |
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Σελίδα
... DIEDRAL 233 273 319 BOOK VIII . THE CYLINDER , CONE , AND SPHERE Book IX . MEASUREMENT OF THE CYLINDER , Cone , and SPHERE . APPENDIX TO SOLID GEOMETRY · 360 386 GEOMETRY . PRELIMINARY DEFINITIONS . A material body . A.
... DIEDRAL 233 273 319 BOOK VIII . THE CYLINDER , CONE , AND SPHERE Book IX . MEASUREMENT OF THE CYLINDER , Cone , and SPHERE . APPENDIX TO SOLID GEOMETRY · 360 386 GEOMETRY . PRELIMINARY DEFINITIONS . A material body . A.
Σελίδα 233
... . Hence , a plane can be drawn through line AB and point C ' ; and it is evident that but one such plane can be drawn . • C B II . Given A , B , 233 SOLID GEOMETRY LINES AND PLANES IN SPACE DIEDRAL ANGLES POLYEDRAL ANGLES -
... . Hence , a plane can be drawn through line AB and point C ' ; and it is evident that but one such plane can be drawn . • C B II . Given A , B , 233 SOLID GEOMETRY LINES AND PLANES IN SPACE DIEDRAL ANGLES POLYEDRAL ANGLES -
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 A ' E D Q E D ' Given ABC and A'B'C ...
... 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 A ' E D Q E D ' Given ABC and A'B'C ...
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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.