The Elements of GeometryMacmillan, 1886 - 366 Seiten |
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Seite xiv
... Symmetrical triangles equiva- ries . . . 259-261 676. All spherical lines intersect 261 725 . 677 , 678. A lune and its angle . 679-684 . Definitions . • lent . . . Spherical excess defined 281 , 282 • 282 • 262 724-728 . · 263 , 264 ...
... Symmetrical triangles equiva- ries . . . 259-261 676. All spherical lines intersect 261 725 . 677 , 678. A lune and its angle . 679-684 . Definitions . • lent . . . Spherical excess defined 281 , 282 • 282 • 262 724-728 . · 263 , 264 ...
Seite xv
... Symmetrical space angles PAGE ARTICLE 843. Space angles proportional PAGE 333 · 332 844. To transform any polyhedral angle , 334 332 845 , 846. Area of a lune . 334 839. Steregon 332 847. Plane angle as measure of dihedral , 335 840 ...
... Symmetrical space angles PAGE ARTICLE 843. Space angles proportional PAGE 333 · 332 844. To transform any polyhedral angle , 334 332 845 , 846. Area of a lune . 334 839. Steregon 332 847. Plane angle as measure of dihedral , 335 840 ...
Seite 92
... symmetrical with respect to that axis , or has central symmetry when it has a center such that every line drawn through it cuts the figure in two points symmetrical with respect to this center . THEOREM XLIV . 269. If a figure has two ...
... symmetrical with respect to that axis , or has central symmetry when it has a center such that every line drawn through it cuts the figure in two points symmetrical with respect to this center . THEOREM XLIV . 269. If a figure has two ...
Seite 121
... symmetrical to the center , and this , too , would again be a center : the circle would thus have two centers . ( 330. A circle has only one center . ) Each circle has therefore , besides its center of symmetry , an infinite number of ...
... symmetrical to the center , and this , too , would again be a center : the circle would thus have two centers . ( 330. A circle has only one center . ) Each circle has therefore , besides its center of symmetry , an infinite number of ...
Seite 137
... symmetrical trapezoid . 72. Every trapezoid inscribed in a circle is symmetrical . THEOREM XXI . 386. An angle formed by two secants THE CIRCLE . 137 Angles subtended by arcs.
... symmetrical trapezoid . 72. Every trapezoid inscribed in a circle is symmetrical . THEOREM XXI . 386. An angle formed by two secants THE CIRCLE . 137 Angles subtended by arcs.
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Häufige Begriffe und Wortgruppen
ABCD alternate angles altitude angles are equal angles equal angles opposite base bisect called chord circumcenter coincide common commutative law CONCLUSION construction COROLLARY cross-ratio describe diagonals diameter divided draw equal are congruent equal sects equiangular equivalent exterior angle figure given line given point given sect greater greatest common divisor hypothenuse HYPOTHESIS included angle inscribed inscribed angle intercepted interior intersecting lines isosceles triangle less locus magnitudes meet mid-point multiples number of sides pair parallelogram pass perigon perimeter perpendicular bisector plane MN prismatoid PROOF proportional quadrilateral radii radius ratio rectangle rectangle contained regular polygon respectively equal rhombus right angle Rule of Inversion sect joining segment sides equal sphere spherical polygon square straight angle subtended supplemental surface symmetrical tangent THEOREM THEOREM VIII three sides transversal triangles are congruent vertex
Beliebte Passagen
Seite 44 - 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.
Seite 112 - To divide a given straight line into two parts, so that the rectangle contained by the whole, and one of the parts, may be equal to the square of the other part.
Seite 24 - A right-angled triangle is one which has a right angle. The side opposite the right angle is called the hypothenuse.
Seite 190 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Seite 101 - If there be two straight lines, one of which is divided into any number of parts, the rectangle contained by the two straight lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line.
Seite 266 - If two triangles have two sides and the included angle of one equal respectively to two sides and the included angle of the other, the triangles are equal.
Seite 13 - An Acute Angle is one which is less than a right angle.
Seite 104 - If a straight line be bisected, and produced to any point ; the rectangle contained by the whole line thus produced, and the part of it produced, together with the square...
Seite 107 - In an obtuse-angled triangle the square on the side opposite the obtuse angle is greater than the sum of the squares on the other two sides by twice the rectangle contained by either side and the projection on it of the other side.
Seite 103 - If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line.