An Elementary Geometry: Plane, Solid and Spherical1880 - 240 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 24.
Σελίδα 55
... segments of the base A C , made by a line BD cutting the base , are AD and DC ; and in the triangle ABD the segments of the base , made by a line BC cutting the base , are AC and DC . If the point is within the given line , the sum of ...
... segments of the base A C , made by a line BD cutting the base , are AD and DC ; and in the triangle ABD the segments of the base , made by a line BC cutting the base , are AC and DC . If the point is within the given line , the sum of ...
Σελίδα 56
... segments which are propor- tional to the adjacent sides . 1st . Let B , an interior angle of the triangle A B C , be bisected by BD ; then AB : BC = AD : DC E B Through C draw CE parallel to D B , meeting A B produced in E. As BD and EC ...
... segments which are propor- tional to the adjacent sides . 1st . Let B , an interior angle of the triangle A B C , be bisected by BD ; then AB : BC = AD : DC E B Through C draw CE parallel to D B , meeting A B produced in E. As BD and EC ...
Σελίδα 57
... segment . 65. Cor . 2. As A B D and B C D are similar triangles AD : DB DB : DC that is , in a right triangle the perpendicular from the vertex of the right angle to the hypothenuse is a mean proportional between the segments of the ...
... segment . 65. Cor . 2. As A B D and B C D are similar triangles AD : DB DB : DC that is , in a right triangle the perpendicular from the vertex of the right angle to the hypothenuse is a mean proportional between the segments of the ...
Σελίδα 60
... sum of the squares of the other two sides is equivalent to twice the square of the bisecting line plus twice the square of a segment of the bisected side . B In the triangle ABC let BD be drawn bisecting 60 PLANE GEOMETRY .
... sum of the squares of the other two sides is equivalent to twice the square of the bisecting line plus twice the square of a segment of the bisected side . B In the triangle ABC let BD be drawn bisecting 60 PLANE GEOMETRY .
Σελίδα 68
... segments between the vertex of the angle of these sides and the perpendiculars . Let AD , CE be perpendicu- lars from A and B D E C to the sides BC , AB respec- tively ; then CA AB : BC BD : BE . For the right triangles AD B , BEC ...
... segments between the vertex of the angle of these sides and the perpendiculars . Let AD , CE be perpendicu- lars from A and B D E C to the sides BC , AB respec- tively ; then CA AB : BC BD : BE . For the right triangles AD B , BEC ...
Άλλες εκδόσεις - Προβολή όλων
An Elementary Geometry: Plane, Solid and Spherical William Frothingham Bradbury Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
A B D altitude angles are equal apothem arcs A B centre chord circle circumference circumscribed cone construct the triangle convex surface Corollary diagonals diameter diedral angles distance divided draw equally distant equivalent bases face angles feet frustum given angle given line given point hence homologous homologous lines hypothenuse inscribed intersection isosceles triangle lines bisecting locus medial line middle points mutually equiangular number of sides opposite sides parallelogram parallelopiped perimeter perpendicular plane M N polar triangle polyedral angle polyedrons produced proposition quadrilateral radius ratio rectangle rectangular parallelopiped regular polygon respectively equal right prism right triangle Scholium similar slant height sphere spherical angle spherical polygon spherical triangle square straight line tangent tetraedrons THEOREM triangle A B C triangle is equal triangular prism triedral vertex vertices
Δημοφιλή αποσπάσματα
Σελίδα 166 - Any two rectangles are to each other as the products of their bases by their altitudes.
Σελίδα 13 - If two triangles have two sides and the inchtded angle of the one respectively equal to two sides and the included angle of the other, the two triangles are equal in all respects.
Σελίδα 41 - If any number of quantities are proportional, any antecedent is to its consequent as the sum of all the antecedents is to the sum of all the consequents. Let a : b = c : d...
Σελίδα 198 - Each side of a spherical triangle is less than the sum of the other two sides.
Σελίδα 75 - A Circle is a plane figure bounded by a curved line every point of which is equally distant from a point within called the center.
Σελίδα 203 - In an isosceles spherical triangle, the angles opposite the equal sides are equal. In the spherical triangle ABC, let AB equal AC.
Σελίδα 220 - If one angle of a triangle is equal to the sum of the other two, the triangle can be divided into two isosceles triangles.
Σελίδα 136 - A STRAIGHT line is perpendicular to a plane, when it is perpendicular to every straight line which it meets in that plane.
Σελίδα 199 - THEOREM. The sum of the sides of a spherical polygon is less than the circumference of a great circle.
Σελίδα 162 - An oblique prism is equivalent to a right prism whose base is a right section of the oblique prism, and whose altitude is equal to a lateral edge of the oblique prism. Hyp. GM is a right section of oblique prism AD', and GM.' a right prism whose altitude is equal to a lateral edge of AD'. To prove AD' =0= GM'. Proof. The lateral edges of GM