An Elementary Geometry: Plane, Solid and Spherical1880 - 240 σελίδες |
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Σελίδα 18
... extremities . Let CD be the perpendicular at the middle of the line AB ; then 1st . Let D be any point in the ... extremity to which it is nearer . THEOREM XVIII . 96. If a triangle has two sides and an angle opposite one of these sides ...
... extremities . Let CD be the perpendicular at the middle of the line AB ; then 1st . Let D be any point in the ... extremity to which it is nearer . THEOREM XVIII . 96. If a triangle has two sides and an angle opposite one of these sides ...
Σελίδα 32
... extremities of one of the sides is less than the sum of the other two sides . ( Produce one of the lines to the side of the triangle . ) ( 29. ) 134. Two straight lines perpendicular to a third are parallel . ( 56. ) 135. The sum of the ...
... extremities of one of the sides is less than the sum of the other two sides . ( Produce one of the lines to the side of the triangle . ) ( 29. ) 134. Two straight lines perpendicular to a third are parallel . ( 56. ) 135. The sum of the ...
Σελίδα 55
... extremities of the line are called the seg- A B ments of the line . Thus , in the triangle A B C , the 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 ...
... extremities of the line are called the seg- A B ments of the line . Thus , in the triangle A B C , the 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 ...
Σελίδα 72
... extremities of one non - parallel side to the middle point of the other . 111. Draw two polygons mutually equiangular but not similar . Draw two polygons not similar , whose sides taken in order have a constant ratio . 112. Two ...
... extremities of one non - parallel side to the middle point of the other . 111. Draw two polygons mutually equiangular but not similar . Draw two polygons not similar , whose sides taken in order have a constant ratio . 112. Two ...
Σελίδα 82
... extremity is a tangent to the circumference ( I. 39 ) . THEOREM VIII . 29. The angle made by a tangent and a chord , intersecting at the same point of the circumference , is measured by half the in- cluded arc . Let BC be a tangent and ...
... extremity is a tangent to the circumference ( I. 39 ) . THEOREM VIII . 29. The angle made by a tangent and a chord , intersecting at the same point of the circumference , is measured by half the in- cluded arc . Let BC be a tangent and ...
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