Elementary Geometry, Plane and Solid: For Use in High Schools and AcademiesMacmillan, 1901 - 440 sider |
Inni boken
Resultat 1-5 av 63
Side 14
... edge or ruler and a pair of compasses . With the ruler we are able to draw a straight line between any two points and also to extend or produce , as far as we please , any terminated or finite straight line or line - segment already ...
... edge or ruler and a pair of compasses . With the ruler we are able to draw a straight line between any two points and also to extend or produce , as far as we please , any terminated or finite straight line or line - segment already ...
Side 284
... edge and one other point in each boundary . B Thus the dihedral angle in the diagram may be designated by P - AB - Q . When no confusion can arise it will be sufficient in speaking of a dihedral angle to name its edge . A 427. Two ...
... edge and one other point in each boundary . B Thus the dihedral angle in the diagram may be designated by P - AB - Q . When no confusion can arise it will be sufficient in speaking of a dihedral angle to name its edge . A 427. Two ...
Side 285
... edge of a dihedral angle , two straight lines are drawn perpen- dicular to that edge , one in each boundary of the angle , the plane B R Q R angle formed by these lines is called the inclination of the planes forming the dihedral angle ...
... edge of a dihedral angle , two straight lines are drawn perpen- dicular to that edge , one in each boundary of the angle , the plane B R Q R angle formed by these lines is called the inclination of the planes forming the dihedral angle ...
Side 286
... edge of that angle , form the plane angle of the dihedral angle . PROPOSITION XV 433. Two dihedral angles are equal ... edge A'B ' must then coincide with the edge AB , since both are perpendicular to the plane MON at the point 0 . ( Art ...
... edge of that angle , form the plane angle of the dihedral angle . PROPOSITION XV 433. Two dihedral angles are equal ... edge A'B ' must then coincide with the edge AB , since both are perpendicular to the plane MON at the point 0 . ( Art ...
Side 287
... edges of the two dihedral angles and the lines of division of the plane angles pass planes . These will divide the dihedral angles into equal parts , the same in number as the equal parts of the plane angles . 3. The ratio of the ...
... edges of the two dihedral angles and the lines of division of the plane angles pass planes . These will divide the dihedral angles into equal parts , the same in number as the equal parts of the plane angles . 3. The ratio of the ...
Andre utgaver - Vis alle
Elementary Geometry, Plane and Solid: For Use in High Schools and Academies Thomas Franklin Holgate Uten tilgangsbegrensning - 1901 |
Elementary Geometry, Plane and Solid; for Use in High Schools and Academies Thomas F 1859-1945 Holgate Ingen forhåndsvisning tilgjengelig - 2018 |
Elementary Geometry Plane and Solid: For Use in High Schools and Academies Thomas F. Holgate Ingen forhåndsvisning tilgjengelig - 2015 |
Vanlige uttrykk og setninger
ABCD AC² adjacent angles altitude angle formed angles are equal apothem base bisector bisects centre chord coincide convex convex polygon COROLLARY DEFINITION diagonals diameter dicular dihedral angle draw equal angles equal in area equiangular equidistant equilateral triangle EXERCISES face angles figure given circle given line-segment given plane given point given straight line greater Hence hypotenuse identically equal interior angles isosceles triangle length Let ABC line perpendicular magnitudes measure mid-point number of sides opposite sides pair parallel planes parallelepiped parallelogram perimeter perpen plane angles point of contact point of intersection polyhedral angle polyhedron prism Proof Prop Proposition VIII pyramid quadrilateral radii radius ratio rectangle regular polygon required to prove respectively right angles right triangle segments side BC similar sphere square subtended supplementary angle surface tangent tetrahedron theorem triangle ABC triangle is equal trihedral vertex volume
Populære avsnitt
Side 187 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Side 230 - The formula states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the base and altitude.
Side 55 - If two triangles have two sides of the one equal respectively to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side of the first is greater than the third side of the second. Given A ABC and A'B'C...
Side 76 - The line which joins the mid-points of two sides of a triangle is parallel to the third side and equal to one half of it.
Side 43 - Prove that, if two sides of a triangle are unequal, the angle opposite the greater side is greater than the angle opposite the less.
Side 231 - A polygon of three sides is called a triangle ; one of four sides, a quadrilateral; one of five sides, a, pentagon; one of six sides, a hexagon ; one of seven sides, a heptagon ; one of eight sides, an octagon ; one of ten sides, a decagon ; one of twelve sides, a dodecagon.
Side 27 - If two triangles have two sides, and the included angle of the one equal to two sides and the included angle of the other, each to each, the two triangles are equal in all respects.
Side 200 - The area of a triangle is equal to half the product of its base by its altitude.
Side 161 - ... they have an angle of one equal to an angle of the other and the including sides are proportional; (c) their sides are respectively proportional.
Side 229 - Two parallelograms are similar when they have an angle of the one equal to an angle of the other, and the including sides proportional.