The Essentials of GeometryD.C. Heath & Company, 1899 - 395 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 75.
Σελίδα 22
... ABCD . Proof . If AB and CD are not II , they will meet in some point if sufficiently produced . ( § 52 ) We should then have two lines drawn through this point Il to EF , which is impossible . [ But one str . line can be drawn through ...
... ABCD . Proof . If AB and CD are not II , they will meet in some point if sufficiently produced . ( § 52 ) We should then have two lines drawn through this point Il to EF , which is impossible . [ But one str . line can be drawn through ...
Σελίδα 47
... ABCD . The bounding lines are called the sides of the quadrilateral , and their points of intersection the vertices . The angles of the quadrilateral are the angles included between the adjacent sides . A D A diagonal is a straight line ...
... ABCD . The bounding lines are called the sides of the quadrilateral , and their points of intersection the vertices . The angles of the quadrilateral are the angles included between the adjacent sides . A D A diagonal is a straight line ...
Σελίδα 48
... ABCD . I. To Prove ABCD and BC = AD . Proof . Draw diagonal AC . In A ABC and ACD , AC AC . = Again , since Is BC and AD are cut by AC , LBCAL CAD . = [ If two || s are cut by a transversal , the alt . int . are equal . ] ( § In like ...
... ABCD . I. To Prove ABCD and BC = AD . Proof . Draw diagonal AC . In A ABC and ACD , AC AC . = Again , since Is BC and AD are cut by AC , LBCAL CAD . = [ If two || s are cut by a transversal , the alt . int . are equal . ] ( § In like ...
Σελίδα 49
... ABCD , ABCD and BC = AD . To Prove ABCD a □ . Proof . Draw diagonal AC . In △ ABC and ACD , AC = AC . And by hyp . , AB = CD and BC = AD . .. ΔΑΒC = Δ ACD . [ Two are equal when the three sides of one are equal respec- tively to the ...
... ABCD , ABCD and BC = AD . To Prove ABCD a □ . Proof . Draw diagonal AC . In △ ABC and ACD , AC = AC . And by hyp . , AB = CD and BC = AD . .. ΔΑΒC = Δ ACD . [ Two are equal when the three sides of one are equal respec- tively to the ...
Σελίδα 50
... ABCD , BC equal and II to A To Prove ABCD a . ( Prove AABC = A ACD , by § 63 ; then , the other sides of the quadrilateral are equal , and the theorem foll by § 109. ) PROP . XL . THEOREM . 111. The diagonals of a parallelogram bisect ...
... ABCD , BC equal and II to A To Prove ABCD a . ( Prove AABC = A ACD , by § 63 ; then , the other sides of the quadrilateral are equal , and the theorem foll by § 109. ) PROP . XL . THEOREM . 111. The diagonals of a parallelogram bisect ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
AB² ABCD AC² adjacent angles altitude apothem approach the limit area ABC axis base and altitude BC² bisector bisects centre chord circle circumference circumscribed coincide cone of revolution Converse of Prop diagonals diameter diedral angle distance Draw line equally distant equilateral equivalent exterior angle faces Find the area frustum Given line given point Hence homologous homologous sides hypotenuse intersecting isosceles triangle lateral area lateral edges line drawn line joining middle point number of sides parallel parallelogram parallelopiped perimeter perpendicular plane MN polyedral polyedron prism pyramid quadrilateral radii radius rectangle regular inscribed regular polygon rhombus right angles right triangle segment side BC similar slant height spherical polygon spherical triangle square tangent tetraedron THEOREM trapezoid triangle ABC triangular prism triedral vertex vertices volume Whence
Δημοφιλή αποσπάσματα
Σελίδα 371 - A zone is a portion of the surface of a sphere included between two parallel planes.
Σελίδα 49 - ... the three sides of one are equal, respectively, to the three sides of the other. 2. Two right triangles are congruent if...
Σελίδα 261 - The projection of a point on a plane is the foot of the perpendicular drawn from the point to the plane.
Σελίδα 336 - A spherical polygon is a portion of the surface of a sphere bounded by three or more arcs of great circles. The...
Σελίδα 73 - A chord is a straight line joining the extremities of an arc ; as AB.
Σελίδα 328 - A sphere is a solid bounded by a surface all points of which are equally distant from a point within called the centre.
Σελίδα 205 - S' denote the areas of two © whose radii are R and R', and diameters D and D', respectively. Then, | = "* § = ££ = £• <§337> That is, the areas of two circles are to each other as the squares of their radii, or as the squares of their diameters.
Σελίδα 170 - The areas of two triangles which have 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 224 - The perpendiculars from the vertices of a triangle to the opposite sides are the bisectors of the angles of the triangle formed by joining the feet of the perpendiculars.
Σελίδα 325 - A right circular cone may be generated by the revolution of a right triangle about one of its legs as an axis.