Plane and Solid Geometry: Suggestive MethodTracy, Gibbs, 1894 - 395 σελίδες |
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Αποτελέσματα 1 - 5 από τα 65.
Σελίδα 4
... opposite to that of the hands of a watch to the position O A , or it may turn through the angle n by a motion . B A with that of the hands of a watch to the same position O A. Two angles which have the same vertex and the same sides are ...
... opposite to that of the hands of a watch to the position O A , or it may turn through the angle n by a motion . B A with that of the hands of a watch to the same position O A. Two angles which have the same vertex and the same sides are ...
Σελίδα 5
... opposite sides of this common side , are called adjacent angles . Angles m and n in the second figure in article 18 are ad jacent angles . 20. Definition . When one straight line meets another straight line so that the two adjacent ...
... opposite sides of this common side , are called adjacent angles . Angles m and n in the second figure in article 18 are ad jacent angles . 20. Definition . When one straight line meets another straight line so that the two adjacent ...
Σελίδα 6
... opposite angles are called ver- tical angles . In the figure at the right , the angles A OD and C O B are ver- tical angles ; also the angles A OC and B O D are vertical angles . 25. If two adjacent angles are together equal to a right ...
... opposite angles are called ver- tical angles . In the figure at the right , the angles A OD and C O B are ver- tical angles ; also the angles A OC and B O D are vertical angles . 25. If two adjacent angles are together equal to a right ...
Σελίδα 18
... opposite the base , is called the vertical angle . Generally , any side may be assumed as the base , but , in an isosceles triangle , that side which is not one of the two equal sides is al- ways considered as the base . 60. The ...
... opposite the base , is called the vertical angle . Generally , any side may be assumed as the base , but , in an isosceles triangle , that side which is not one of the two equal sides is al- ways considered as the base . 60. The ...
Σελίδα 21
... opposite equal angles , and equal angles lie op- posite equal sides . PROPOSITION VI . THEOREM . 64. The angles opposite the RECTILINEAR FIGURES .
... opposite equal angles , and equal angles lie op- posite equal sides . PROPOSITION VI . THEOREM . 64. The angles opposite the RECTILINEAR FIGURES .
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Συχνά εμφανιζόμενοι όροι και φράσεις
A B and C D A B C and D E F A B sustain A C equals adjacent angles altitude angles are equal apothem arc A B bisects chord circumference circumscribed Compare the ratios Compare Zs construct COROLLARY cylinder diagonal diameter dihedral angles distance draw drawn equal circles equal in area equally distant equals the ratio frustum Give auth given line given point Hence hypotenuse inscribed angle intersect isosceles triangle lateral area lateral edges Let A B C represent line A B locus middle point number of sides parallel lines parallelogram parallelopiped perimeter perpendicular plane M N polyhedron prism Prop PROPOSITION XVIII pyramid radii radius rectangle regular polygon respectively right angles right triangle SCHOLIUM segment slant height sphere spherical polygon spherical triangle subtended tangent THEOREM triangles A B C trihedral unit of measure vertex vertices volume
Δημοφιλή αποσπάσματα
Σελίδα 137 - The square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.
Σελίδα 48 - If two triangles have two sides of one respectively equal to two sides of the other, and the included angles unequal, the triangle which has the greater included angle has the greater third side.
Σελίδα 138 - ... 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.
Σελίδα 59 - If two triangles have two sides of one equal to two sides of the other but the third side of the first greater than the thin!
Σελίδα 292 - ADC ; the last two are therefore right angles ; hence the arc drawn from the vertex of an isosceles spherical triangle to the middle of the base, is perpendicular to the base, and bisects the vertical angle.
Σελίδα 211 - The projection of a point on a plane is the foot of the perpendicular from the point to the plane. The projection of a figure upon a plane is the locus of the projections of all the points of the figure upon the plane. Thus, A'B' represents the projection of AB upon plane MN.
Σελίδα 119 - If two polygons are composed of the same number of triangles, similar each to each and similarly placed, the polygons are similar.
Σελίδα 96 - It is read the ratio of a to b equals the ratio of c to d, or briefly, a is to b as c is to d.
Σελίδα 254 - A truncated triangular prism is equivalent to the sum of three pyramids whose common base is the base of the prism and whose vertices are the three...
Σελίδα 263 - That is, the lateral areas, or the total areas, of similar cylinders of revolution are to each other as the squares of their altitudes, or as the squares of the radii of their bases.