The Elements of GeometryJ. Wiley & Sons, 1885 - 366 σελίδες |
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Αποτελέσματα 1 - 5 από τα 49.
Σελίδα xi
... bisect a given arc . Circumscribed polygon and in- 148 • 128 scribed circle 148 414 . • 129 | 415-417 . Escribed circle defined Problems • • • 148 • 149 , 150 Corresponding arcs , angles , sectors , chords . I. Partition of a Perigon ...
... bisect a given arc . Circumscribed polygon and in- 148 • 128 scribed circle 148 414 . • 129 | 415-417 . Escribed circle defined Problems • • • 148 • 149 , 150 Corresponding arcs , angles , sectors , chords . I. Partition of a Perigon ...
Σελίδα 14
... bisect the magnitude , 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 ...
... bisect the magnitude , 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 ...
Σελίδα 20
... prove × BOC = DOA . X EXERCISES . side of a line . I. Two angles are formed at a point on one Show that the lines which bisect these angles contain a right angle . THEOREM IV . 109. If four lines go out from 20 THE ELEMENTS OF GEOMETRY .
... prove × BOC = DOA . X EXERCISES . side of a line . I. Two angles are formed at a point on one Show that the lines which bisect these angles contain a right angle . THEOREM IV . 109. If four lines go out from 20 THE ELEMENTS OF GEOMETRY .
Σελίδα 31
... AB , then OD will be the required sect . PROOF . All the radii of the circle around O are , by construction , equal to a . OD is one of these radii , therefore it is equal to a . PROBLEM III . 134. To bisect a given angle . PROBLEMS . 31.
... AB , then OD will be the required sect . PROOF . All the radii of the circle around O are , by construction , equal to a . OD is one of these radii , therefore it is equal to a . PROBLEM III . 134. To bisect a given angle . PROBLEMS . 31.
Σελίδα 32
George Bruce Halsted. PROBLEM III . 134. To bisect a given angle . & ' A D GIVEN , the angle AOD . REQUIRED , to bisect it . CONSTRUCTION . From O as a center , with any radius , OA , describe the arc of a circle , cutting the arms of ...
George Bruce Halsted. PROBLEM III . 134. To bisect a given angle . & ' A D GIVEN , the angle AOD . REQUIRED , to bisect it . CONSTRUCTION . From O as a center , with any radius , OA , describe the arc of a circle , cutting the arms of ...
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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.