Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious Notes and IllustrationsA. Constable & Company, 1817 - 432 Seiten |
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Seite 71
... chord . D 2. The space included between an arc and its chord , is named a segment . 3. A sector is the portion of a circle con- tained by two radii and the arc lying be- tween them . 4. The tangent to a circle is a straight line which ...
... chord . D 2. The space included between an arc and its chord , is named a segment . 3. A sector is the portion of a circle con- tained by two radii and the arc lying be- tween them . 4. The tangent to a circle is a straight line which ...
Seite 74
... chord of an arc lies wholly within the cir- cle . . The straight line AB which joins two points A , B in t ... chord , likewise bisects it ; and , conversely , the straight line which joins the centre with the middle of a chord , is ...
... chord of an arc lies wholly within the cir- cle . . The straight line AB which joins two points A , B in t ... chord , likewise bisects it ; and , conversely , the straight line which joins the centre with the middle of a chord , is ...
Seite 75
... chord AB , cuts it into two equal parts AD , DB . For join CA , CB : And , in the triangles ACD , BCD , the side AC ... chord at right angles , passes through the centre of the circle . If the perpendicular FE bisect a chord AB , it will ...
... chord AB , cuts it into two equal parts AD , DB . For join CA , CB : And , in the triangles ACD , BCD , the side AC ... chord at right angles , passes through the centre of the circle . If the perpendicular FE bisect a chord AB , it will ...
Seite 76
... chord AB by the diameter EF ( I. 7. ) , and bi- secting this again in G. PROP . VI . THEOR . The diameter is the greatest line that can be inflected within a circle . The diameter AB is greater than any chord DE . For join CD and CE ...
... chord AB by the diameter EF ( I. 7. ) , and bi- secting this again in G. PROP . VI . THEOR . The diameter is the greatest line that can be inflected within a circle . The diameter AB is greater than any chord DE . For join CD and CE ...
Seite 80
... chords are equidistant from the centre of a circle ; and chords which are equidistant from the centre , are likewise equal . Let AB , DE be equal chords inflected within the same circle ; their ... chord is 80 ELEMENTS OF GEOMETRY .
... chords are equidistant from the centre of a circle ; and chords which are equidistant from the centre , are likewise equal . Let AB , DE be equal chords inflected within the same circle ; their ... chord is 80 ELEMENTS OF GEOMETRY .
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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 |
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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