The Elements of Plane and Solid Geometry ...D. Van Nostrand Company, 1890 - 393 páginas |
Dentro del libro
Resultados 1-5 de 28
Página 22
... bisector of the line . If a straight line have two points , each of which is equally distant from the extremities of a second line , it will be per- pendicular to the second line at its middle point . EXERCISES . 1. Prove that the bisectors ...
... bisector of the line . If a straight line have two points , each of which is equally distant from the extremities of a second line , it will be per- pendicular to the second line at its middle point . EXERCISES . 1. Prove that the bisectors ...
Página 27
... bisector , prove ( 1 ) that it bisects the supplementary angle , and ( 2 ) that it makes equal angles with the sides of the given angle . Proposition 14. Theorem . 77. If a straight line cut BOOK I. - PARALLEL LINES . 27.
... bisector , prove ( 1 ) that it bisects the supplementary angle , and ( 2 ) that it makes equal angles with the sides of the given angle . Proposition 14. Theorem . 77. If a straight line cut BOOK I. - PARALLEL LINES . 27.
Página 30
... two parallel straight lines , and the two interior angles on the same side are bisected ; show that the bisectors meet at right angles . Proposition 17. Theorem . 80. Two angles having their sides 30 PLANE GEOMETRY .
... two parallel straight lines , and the two interior angles on the same side are bisected ; show that the bisectors meet at right angles . Proposition 17. Theorem . 80. Two angles having their sides 30 PLANE GEOMETRY .
Página 40
... bisector of the vertical angle of an isosceles triangle bisects the base at right angles . 113. COR . 2. The perpendicular from the vertex to the base of an isosceles triangle bisects the base and the angle at the vertex . An ...
... bisector of the vertical angle of an isosceles triangle bisects the base at right angles . 113. COR . 2. The perpendicular from the vertex to the base of an isosceles triangle bisects the base and the angle at the vertex . An ...
Página 41
... bisectors of the angles B and C meet at O. CO = BO . AC . The Prove that 2. ABC is a triangle ; BA is produced to D so that AD = AC , and DC is joined . Prove that BCD > △ BDC . 3. The angle C is twice as large as either of the angles ...
... bisectors of the angles B and C meet at O. CO = BO . AC . The Prove that 2. ABC is a triangle ; BA is produced to D so that AD = AC , and DC is joined . Prove that BCD > △ BDC . 3. The angle C is twice as large as either of the angles ...
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Otras ediciones - Ver todas
ELEMENTS OF PLANE & SOLID GEOM Edward a. (Edward Albert) 1845 Bowser Sin vista previa disponible - 2016 |
ELEMENTS OF PLANE & SOLID GEOM Edward a. (Edward Albert) 1845 Bowser Sin vista previa disponible - 2016 |
Términos y frases comunes
ABCD adjacent angles altitude angles are equal base bisect bisector centre chord circumference circumscribed coincide cone of revolution Cons construct cylinder diagonals diameter diedral angle distance divided draw equally distant equilateral triangle equivalent EXERCISES exterior angle faces feet Find the area Find the volume frustum given circle given line given point given straight line homologous homologous sides hypotenuse inches intersection isosceles triangle lateral area lateral edges Let ABC meet middle point number of sides parallel parallelogram parallelopiped perimeter perpendicular plane MN polyedron prism produced Proposition Proposition 13 prove Proof pyramid quadrilateral radii radius ratio rectangle rectangular parallelopiped regular inscribed regular polygon right angles segment similar slant height sphere spherical polygon spherical triangle square surface symmetrical tangent tetraedron Theorem triangle ABC triangular prism triedral vertex
Pasajes populares
Página 74 - A circle is a plane figure bounded by a curved line, called the circumference, every point of which is equally distant from a point within called the center.
Página 188 - Two triangles having 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.
Página 45 - 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. Hyp. In A ABC and A'B'C' AB = A'B'; AC = A'C'; ZA>ZA'.
Página 137 - Terms of the proportion. The first and fourth terms are called the Extremes, and the second and third the Means.
Página 12 - AXIOMS. 1. Things which are equal to the same thing are equal to each other. 2. If equals be added to equals, the sums will be equal.
Página 57 - 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.
Página 334 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.
Página 253 - Equal oblique lines from a point to a plane meet the plane at equal distances from the foot of the perpendicular ; and of two unequal oblique lines the greater meets the plane at the greater distance from the foot of the perpendicular.
Página 378 - The circumferences of the sections made by the planes are called the bases of the zone, and the distance between the planes is the altitude of the zone.