The Elements of GeometryJ. Wiley & Sons, 1885 - 366 σελίδες |
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Σελίδα viii
... Bisector defined • 14 means straight 77 . A trace defined • 14 9 78 . A triangle defined 15 9 79 . Vertices defined • 15 49. A plane defined • 9 80 . Sides defined • • 15 50. Plane defined , using motion 9 81 . Interior angle defined ...
... Bisector defined • 14 means straight 77 . A trace defined • 14 9 78 . A triangle defined 15 9 79 . Vertices defined • 15 49. A plane defined • 9 80 . Sides defined • • 15 50. Plane defined , using motion 9 81 . Interior angle defined ...
Σελίδα xii
... bisector of an angle ,. I. Partition of a Perigon . ARTICLE PAGE 437 . 151 • 152 153-154 • Side of inscribed hexagon equals radius PAGE • 159 ARTICLE . 418 , 419. Successive bisection 420-422 . Trisection • 423-426 . Five and fifteen II ...
... bisector of an angle ,. I. Partition of a Perigon . ARTICLE PAGE 437 . 151 • 152 153-154 • Side of inscribed hexagon equals radius PAGE • 159 ARTICLE . 418 , 419. Successive bisection 420-422 . Trisection • 423-426 . Five and fifteen II ...
Σελίδα xiii
George Bruce Halsted. PAGE 523 , 524. The bisector of an angle , 195 , 196 525-528 . Harmonic division . III . Rectangles and Polygons . 192 529-539 . Rectangle of extremes equiv- alent to rectangle of GEOMETRY OF THREE DIMENSIONS . BOOK ...
George Bruce Halsted. PAGE 523 , 524. The bisector of an angle , 195 , 196 525-528 . Harmonic division . III . Rectangles and Polygons . 192 529-539 . Rectangle of extremes equiv- alent to rectangle of GEOMETRY OF THREE DIMENSIONS . BOOK ...
Σελίδα 14
... , and is called a Bisector . 77. If we imagine a figure moved , we may also suppose it to leave its outline , or Trace , in the first position . 78. A Triangle is a figure formed by three lines 14 THE ELEMENTS OF GEOMETRY .
... , and is called a Bisector . 77. If we imagine a figure moved , we may also suppose it to leave its outline , or Trace , in the first position . 78. A Triangle is a figure formed by three lines 14 THE ELEMENTS OF GEOMETRY .
Σελίδα 21
... . COROLLARY . The four bisectors of the four angles formed by two lines intersecting , form a pair of lines perpen- dicular to each other . II . Angles about Two Points . III . A RELATIONS OF LINES , ANGLES , AND TRIANGLES . 21.
... . COROLLARY . The four bisectors of the four angles formed by two lines intersecting , form a pair of lines perpen- dicular to each other . II . Angles about Two Points . III . A RELATIONS OF LINES , ANGLES , AND TRIANGLES . 21.
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Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD alternate angles angles are equal angles equal angles opposite base bisect called chord circumcenter coincide common commutative law CONCLUSION construction COROLLARY diagonal diameter divided draw end point equal are congruent equal sects equiangular equilateral equivalent exterior angle figure given line given point given sect greater greatest common divisor hypothenuse HYPOTHESIS included angle inscribed inscribed angle intercepted interior isosceles triangle less line perpendicular magnitudes meet multiples number of sides pair parallelogram pass perigon perimeter perpendicular bisector plane MN PROOF proportional quadrilateral radii radius ratio rectangle rectangle contained regular polygon respectively equal right angle Rule of Inversion sect joining segment sphere spherical polygon spherical triangle square straight angle subtended surface symmetrical tangent tetrahedron THEOREM THEOREM VII transversal triangles are congruent vertex vertices
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 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.
Σελίδα 24 - A right-angled triangle is one which has a right angle. The side opposite the right angle is called the hypothenuse.
Σελίδα 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.
Σελίδα 270 - BC with the same radius. Then a line through A touching this arc will be the required parallel. Or, use a straight edge and triangle.
Σελίδα 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.
Σελίδα 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.
Σελίδα 13 - An Acute Angle is one which is less than a right angle.
Σελίδα 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...
Σελίδα 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.