The Essentials of GeometryD.C. Heath & Company, 1899 - 395 σελίδες |
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Σελίδα
Webster Wells. Wells , Webster , Essentials of geometry / Stanford University Libraries 3 6105 04929 1219 AND SOLID ETRY WELLS. TX 513.2.W456es Front Cover.
Webster Wells. Wells , Webster , Essentials of geometry / Stanford University Libraries 3 6105 04929 1219 AND SOLID ETRY WELLS. TX 513.2.W456es Front Cover.
Σελίδα
... Solid Geometry contains rigorous proofs of the limit statements made in §§ 639 , 650 , 667 , and 674 . The author wishes to acknowledge , with thanks , the many suggestions which he has received from teachers in all parts of the country ...
... Solid Geometry contains rigorous proofs of the limit statements made in §§ 639 , 650 , 667 , and 674 . The author wishes to acknowledge , with thanks , the many suggestions which he has received from teachers in all parts of the country ...
Σελίδα
... SOLID GEOMETRY . Book VI . LINES AND PLANES IN SPACE . - 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 ...
... SOLID GEOMETRY . Book VI . LINES AND PLANES IN SPACE . - 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 ...
Σελίδα 2
... solid has extension in every direction ; but this is not true of surfaces and lines . A point has extension in no direction , but simply position in space . 6. A surface may be conceived as existing independently in space , without ...
... solid has extension in every direction ; but this is not true of surfaces and lines . A point has extension in no direction , but simply position in space . 6. A surface may be conceived as existing independently in space , without ...
Σελίδα 1
... solid , or simply a solid . The surface which bounds it is called a geometrical sur- face , or simply a surface ; it is also called the surface of the solid . 3. If two geometrical surfaces intersect each other , that which is common to ...
... solid , or simply a solid . The surface which bounds it is called a geometrical sur- face , or simply a surface ; it is also called the surface of the solid . 3. If two geometrical surfaces intersect each other , that which is common to ...
Άλλες εκδόσεις - Προβολή όλων
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.