Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious Notes and IllustrationsA. Constable & Company, 1817 - 432 Seiten |
Im Buch
Ergebnisse 6-10 von 56
Seite 81
... chord is nearer the centre of the circle ; and that chord which is nearer the centre is also the greater . Let the chord DE be greater than AB ; its distance from the centre , or the perpendicular CG let fall upon it , is less than the ...
... chord is nearer the centre of the circle ; and that chord which is nearer the centre is also the greater . Let the chord DE be greater than AB ; its distance from the centre , or the perpendicular CG let fall upon it , is less than the ...
Seite 82
... chord DE , greater than AB . PROP . XII . THEOR . In the same or equal circles , equal angles at the centre are subtended by equal chords , and termi- nated by equal arcs . If the angle ACB at the centre C be equal to DCE , the chord AB ...
... chord DE , greater than AB . PROP . XII . THEOR . In the same or equal circles , equal angles at the centre are subtended by equal chords , and termi- nated by equal arcs . If the angle ACB at the centre C be equal to DCE , the chord AB ...
Seite 83
... chords must subtend equal arcs of a like kind , that is , arcs which are both greater or both less than a semicircumfe- rence . Schol . The length of a chord in a circle is thus insufficient alone to determine the magnitude of the angle ...
... chords must subtend equal arcs of a like kind , that is , arcs which are both greater or both less than a semicircumfe- rence . Schol . The length of a chord in a circle is thus insufficient alone to determine the magnitude of the angle ...
Seite 84
... chord AB , and bisect it by the perpendicular CD ( I. 7. ) , cut- ting the arc in D , join AD , and from A draw AC making an angle DAC equal to ADC ( I. 4. ) : The intersec- tion C of this straight line with the perpendicular , is the ...
... chord AB , and bisect it by the perpendicular CD ( I. 7. ) , cut- ting the arc in D , join AD , and from A draw AC making an angle DAC equal to ADC ( I. 4. ) : The intersec- tion C of this straight line with the perpendicular , is the ...
Seite 87
... Cor . 3. Hence the angles at the base of a triangle in- scribed in a circle , are together equal to an angle contain- ed in the segment opposite to its vertex . PROP . XVIII . THEOR . Parallel chords intercept equal BOOK III . 87.
... Cor . 3. Hence the angles at the base of a triangle in- scribed in a circle , are together equal to an angle contain- ed in the segment opposite to its vertex . PROP . XVIII . THEOR . Parallel chords intercept equal BOOK III . 87.
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Elements of Geometry, and Plane Trigonometry: With an Appendix, and Very ... University Professor Emeritus John Leslie, Sir Keine Leseprobe verfügbar - 2016 |
Häufige Begriffe und Wortgruppen
ABCD adjacent angle altitude angle ABC angle ADB angle BAC base AC bisect centre chord circle circumference consequently construction contained angle cosine decagon denote describe diameter difference distance diverging lines divided draw equal to BC equilateral triangle equivalent to twice evidently exterior angle given greater half Hence hypotenuse inscribed isosceles triangle join let fall likewise measure parallel perpendicular point G polygon PROB PROP Proposition quadrilateral figure quantities radius ratio rectangle rectangle contained rectilineal figure rhomboid right angles right-angled triangle Scholium segments semicircle semiperimeter sequently side AC sinB sine square of AB square of AC straight line tangent THEOR tion triangle ABC twice the rectangle twice the square vertex vertical angle whence Wherefore