Elements of Plane and Solid GeometryGinn and Heath, 1877 - 398 σελίδες |
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Αποτελέσματα 1 - 5 από τα 33.
Σελίδα 3
... edge is applied to any one of them , the straight - edge in every part will touch the surface , the surfaces are called Plane Surfaces . The sharp edge in which any two of these surfaces meet is called a Line . The place at which any ...
... edge is applied to any one of them , the straight - edge in every part will touch the surface , the surfaces are called Plane Surfaces . The sharp edge in which any two of these surfaces meet is called a Line . The place at which any ...
Σελίδα 268
... edge at the same point . Thus , in the diagram , C - A B - D is a dihedral an- gle , CB and DA are its faces , A B is its edge , OPH is its plane angle if O P H and HP in the faces be D A BP perpendicular to the edge A B at the same ...
... edge at the same point . Thus , in the diagram , C - A B - D is a dihedral an- gle , CB and DA are its faces , A B is its edge , OPH is its plane angle if O P H and HP in the faces be D A BP perpendicular to the edge A B at the same ...
Σελίδα 277
... edges . The portions of the planes A bounded by the edges are its faces . " B E The plane angles ASB , BSC , etc. , formed by the edges are its face angles . 481. DEF . Polyhedral angles are classified as trihedral , quad- rahedral ...
... edges . The portions of the planes A bounded by the edges are its faces . " B E The plane angles ASB , BSC , etc. , formed by the edges are its face angles . 481. DEF . Polyhedral angles are classified as trihedral , quad- rahedral ...
Σελίδα 278
... edges AS , BS , etc. , of the polyhedral angle , S - ABCD , be produced , there is formed another polyhedral angle , S - A'B'C ' D ' , which is symmetri- cal with the first , the vertex S being the centre of symmetry . If we take SA ...
... edges AS , BS , etc. , of the polyhedral angle , S - ABCD , be produced , there is formed another polyhedral angle , S - A'B'C ' D ' , which is symmetri- cal with the first , the vertex S being the centre of symmetry . If we take SA ...
Σελίδα 283
... edges of a tri- hedral angle and the bisectors of the opposite face angles re- spectively intersect in the same straight line . 8. Find the locus of the points which are equally distant from the three edges of a trihedral angle . 9. Cut ...
... edges of a tri- hedral angle and the bisectors of the opposite face angles re- spectively intersect in the same straight line . 8. Find the locus of the points which are equally distant from the three edges of a trihedral angle . 9. Cut ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
AABC ABCD altitude arc A B axis base and altitude bisect centre circle circumference circumscribed coincide conical surface COROLLARY cylinder denote diagonals diameter dihedral angle distance divided Draw equal respectively equally distant equilateral equivalent figure frustum Geometry given point greater Hence homologous sides hypotenuse intersection isosceles lateral area lateral edges lateral faces Let A B Let ABC limit line A B measured by arc middle point mutually equiangular number of sides opposite parallel parallelogram parallelopiped perimeter perpendicular plane MN prism prove pyramid Q. E. D. PROPOSITION radii radius equal ratio rectangles regular polygon right angles right triangle SCHOLIUM segment sides of equal similar polygons slant height sphere spherical angle spherical polygon spherical triangle square subtend surface symmetrical tangent tetrahedron THEOREM third side trihedral vertex vertices volume
Δημοφιλή αποσπάσματα
Σελίδα 132 - To describe an isosceles triangle having each of the angles at the base double of the third angle.
Σελίδα 140 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.
Σελίδα 206 - In any proportion, the product of the means is equal to the product of the extremes.
Σελίδα 40 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Σελίδα 353 - A sphere is a solid bounded by a surface all points of which are equally distant from a point within called the centre.
Σελίδα 179 - Any two rectangles are to each other as the products of their bases by their altitudes.
Σελίδα 192 - In any triangle, the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides diminished by twice the product of one of those sides and the projection of the other upon that side.
Σελίδα 150 - 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. A D A' Hyp. In triangles ABC and A'B'C', To prove AABC A A'B'C' A'B' x A'C ' Proof. Draw the altitudes BD and B'D'.