Plane and Solid GeometryMacmillan, 1901 - 370 σελίδες |
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Αποτελέσματα 1 - 5 από τα 60.
Σελίδα 3
... third point , C , if CA CB . = ANGLES 26. An angle is the inclination of two intersecting lines to each other . B C FIG . 8 . 27. The vertex is the point of intersection , and the lines are the sides of the angle . The lines BA and BC ...
... third point , C , if CA CB . = ANGLES 26. An angle is the inclination of two intersecting lines to each other . B C FIG . 8 . 27. The vertex is the point of intersection , and the lines are the sides of the angle . The lines BA and BC ...
Σελίδα 17
... third straight line . AB and CD are -B 79. THEOREM . Two straight lines which are parallel to a third straight line are parallel to each other . For if the two lines should meet , we would have two intersecting straight lines parallel ...
... third straight line . AB and CD are -B 79. THEOREM . Two straight lines which are parallel to a third straight line are parallel to each other . For if the two lines should meet , we would have two intersecting straight lines parallel ...
Σελίδα 19
... third side of the triangle . Ex . 51. If in the diagram for Prop . V ZABE = △ BEF , prove that the bisectors of CBE and DEB are parallel . Ex . 52. If in the annexed A B diagram AB = CD , and LBAC LACD , then AD is parallel to BC ...
... third side of the triangle . Ex . 51. If in the diagram for Prop . V ZABE = △ BEF , prove that the bisectors of CBE and DEB are parallel . Ex . 52. If in the annexed A B diagram AB = CD , and LBAC LACD , then AD is parallel to BC ...
Σελίδα 25
... third side of the first must be parallel to the third side of the second . PROPOSITION XII . THEOREM 93. The sum of the angles of a triangle is equal to a straight angle . D- B E Hyp . ABC is a triangle . To prove Proof . But ZA + ZB + ...
... third side of the first must be parallel to the third side of the second . PROPOSITION XII . THEOREM 93. The sum of the angles of a triangle is equal to a straight angle . D- B E Hyp . ABC is a triangle . To prove Proof . But ZA + ZB + ...
Σελίδα 26
... third equals three times the first . Ex . 85. If two angles of a triangle are ( 1 ) 40 ° and 60 ° , ( 2 ) m ° and no , find the other interior and the exterior angles of the triangle . Ex . 86. If an exterior angle of a triangle is ...
... third equals three times the first . Ex . 85. If two angles of a triangle are ( 1 ) 40 ° and 60 ° , ( 2 ) m ° and no , find the other interior and the exterior angles of the triangle . Ex . 86. If an exterior angle of a triangle is ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD altitude angles are equal bisect bisector chord circumference circumscribed cone construct a triangle cylinder diagonals diagram for Prop diameter diedral angles divide draw drawn equiangular equiangular polygon equilateral triangle equivalent exterior angle face angles find a point Find the area Find the radius Find the volume frustum given circle given line given point given triangle Hence HINT homologous hypotenuse inches inscribed intersecting isosceles triangle joining the midpoints lateral area lateral edges line joining mean proportional median opposite sides parallel lines parallelogram parallelopiped perimeter perpendicular plane MN point equidistant polyedral angle polyedron PROPOSITION prove Proof quadrilateral radii ratio rectangle regular polygon respectively equal rhombus right angles right triangle SCHOLIUM segments sphere spherical polygon spherical triangle square straight angle straight line surface tangent THEOREM trapezoid triangle ABC triangle are equal triedral vertex
Δημοφιλή αποσπάσματα
Σελίδα 148 - If two chords intersect within a circle, the product of the segments of one is equal to the product of the segments of the other.
Σελίδα 150 - If, from a point without a circle, a tangent and a secant be drawn, the tangent is the mean proportional between the secant and its external segment.
Σελίδα 180 - 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.
Σελίδα 45 - If two triangles have two sides of one equal respectively to two sides of the other, but the included angle of the first triangle greater than the included angle of the second, then the third side of the first is greater than the third side of the second.
Σελίδα 337 - A spherical polygon is a portion of the surface of a sphere bounded by three or more arcs of great circles. The bounding arcs are the sides of the polygon ; the...
Σελίδα 305 - A cylinder is a solid bounded by a cylindrical surface and two parallel planes ; the bases of a cylinder are the parallel planes; and the lateral surface is the cylindrical surface.
Σελίδα 312 - 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 their radii ; and their volumes are to each other as the cubes of their altitudes, or as the cubes of their radii. Let S, S' denote the lateral areas, T, T...
Σελίδα 149 - If, from a point without a circle, two secants are drawn, the product of one secant and its external segment is equal to the product of the other and its external segment.
Σελίδα 328 - Every section of a sphere made by a plane is a circle.
Σελίδα 257 - If two intersecting planes are each perpendicular to a third plane, their intersection is perpendicular to that plane.