The Essentials of GeometryD.C. Heath & Company, 1899 - 395 σελίδες |
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Σελίδα
... Solid Geometry ; but important improve- ments have been introduced , which are in line with the present requirements of many progressive teachers . In a number of propositions , the figure is given , and a statement of what is to be ...
... Solid Geometry ; but important improve- ments have been introduced , which are in line with the present requirements of many progressive teachers . In a number of propositions , the figure is given , and a statement of what is to be ...
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 . ANGLES . POLYEDRAL ANGLES . - BOOK VII . POLYEDRONS 188 211 217 220 DIEDRAL 233 273 319 BOOK VIII . THE CYLINDER , CONE , AND SPHERE Book IX . MEASUREMENT OF THE CYLINDER , Cone ...
... SOLID GEOMETRY . Book VI . LINES AND PLANES IN SPACE . ANGLES . POLYEDRAL ANGLES . - BOOK VII . POLYEDRONS 188 211 217 220 DIEDRAL 233 273 319 BOOK VIII . THE CYLINDER , CONE , AND SPHERE Book IX . MEASUREMENT OF THE CYLINDER , Cone ...
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 ...
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 ...
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.