Plane and Solid GeometryGinn, 1899 - 473 sider |
Inni boken
Resultat 1-5 av 37
Side 44
... equidistant from two parallel lines in that plane is evidently in a straight line drawn between the two given parallel lines and everywhere equidistant from them . 157. All points in a plane that satisfy a single geometrical condition ...
... equidistant from two parallel lines in that plane is evidently in a straight line drawn between the two given parallel lines and everywhere equidistant from them . 157. All points in a plane that satisfy a single geometrical condition ...
Side 45
... equidistant from A and B. § 158 , 1 Q. E. D. 161. COR . Two points each equidistant from the extremi- ties of a line determine the perpendicular bisector of the line . PROPOSITION XXXI . THEOREM . 162. The bisector of a LOCI OF POINTS . 45.
... equidistant from A and B. § 158 , 1 Q. E. D. 161. COR . Two points each equidistant from the extremi- ties of a line determine the perpendicular bisector of the line . PROPOSITION XXXI . THEOREM . 162. The bisector of a LOCI OF POINTS . 45.
Side 46
... equidistant from AP and AQ . Proof . Suppose DB drawn to AP and DC 1 to AQ . In the rt . △ ABD and ACD , AD = AD , △ DAB = / DAC , ..Δ ΑΒD = Δ ACD . .. DB DC . = .. D is equidistant from AP and AQ . .. the bisector of the equidistant ...
... equidistant from AP and AQ . Proof . Suppose DB drawn to AP and DC 1 to AQ . In the rt . △ ABD and ACD , AD = AD , △ DAB = / DAC , ..Δ ΑΒD = Δ ACD . .. DB DC . = .. D is equidistant from AP and AQ . .. the bisector of the equidistant ...
Side 49
... distant . D For if AB and DC are parallel , C Is dropped from any points in AB to DC , are equal , § 180 . Hence , all points in AB are equidistant from DC . PROPOSITION XXXIV . THEOREM . 182. If the opposite sides QUADRILATERALS . 49.
... distant . D For if AB and DC are parallel , C Is dropped from any points in AB to DC , are equal , § 180 . Hence , all points in AB are equidistant from DC . PROPOSITION XXXIV . THEOREM . 182. If the opposite sides QUADRILATERALS . 49.
Side 63
... equidistant from two given points ? from two intersecting lines ? 21. Define a parallelogram ; a trapezoid ; an isosceles trapezoid .. 22. When is a figure symmetrical with respect to a centre ? 23. When is a figure symmetrical with ...
... equidistant from two given points ? from two intersecting lines ? 21. Define a parallelogram ; a trapezoid ; an isosceles trapezoid .. 22. When is a figure symmetrical with respect to a centre ? 23. When is a figure symmetrical with ...
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Vanlige uttrykk og setninger
ABCD AC² adjacent angles altitude angles are equal apothem axis bisector bisects called centre chord circumference circumscribed coincide construct cylinder denote diagonals diameter dihedral angles divided Draw equiangular equidistant equilateral triangle equivalent exterior angle feet Find the area Find the locus frustum given circle given line given point given straight line greater Hence homologous homologous sides hypotenuse inches inscribed intersecting isosceles triangle lateral area lateral edges limit middle point number of sides opposite parallel lines parallelogram parallelopiped perimeter perpendicular plane MN polyhedron prism prismatoid Proof proportional prove Q. E. D. PROPOSITION quadrilateral radii radius ratio rectangle regular polygon respectively rhombus right angle right circular right triangle segments similar slant height sphere spherical square surface tangent tetrahedron THEOREM trapezoid triangle ABC triangle is equal trihedral vertex vertices
Populære avsnitt
Side 274 - If two planes are perpendicular to each other, a straight line drawn in one of them, perpendicular to their intersection, is perpendicular to the other.
Side 50 - If the opposite sides of a quadrilateral are equal, the figure is a parallelogram.
Side 66 - 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 41 - If two angles of a triangle are unequal, the sides opposite are unequal, and the greater side is opposite the greater angle.
Side 169 - In any triangle the product of two sides is equal to the product of the diameter of the circumscribed circle by the altitude upon the third side.
Side 360 - A sphere is a solid bounded by a surface all points of which are equally distant from a point within called the centre.
Side 71 - The sum of the perpendiculars dropped from any point in the base of an isosceles triangle to the legs, is equal to the altitude upon one of the arms.
Side 156 - 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.
Side 71 - The sum of the perpendiculars from any point within an equilateral triangle to the three sides is equal to the altitude of the triangle (Fig.
Side 383 - Hence the two last are right angles ; hence the arc drawn from the vertex of an isosceles spherical triangle to the middle of the base, is at right angles to the base, and bisects the vertical angle.