Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious Notes and IllustrationsA. Constable & Company, 1817 - 432 Seiten |
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Ergebnisse 6-10 von 71
Seite 74
... circumference of a circle , lies wholly within the figure . For , from the centre C , draw CD to any point in AB , and join CA and CB . Because CDA is the exterior an- gle of the triangle CDB , it is greater ( I. 8. ) than the interior ...
... circumference of a circle , lies wholly within the figure . For , from the centre C , draw CD to any point in AB , and join CA and CB . Because CDA is the exterior an- gle of the triangle CDB , it is greater ( I. 8. ) than the interior ...
Seite 76
... eccentric point , two straight lines be drawn to the circumference of a circle ; the one which passes nearer the centre , is greater than that which lies more remote . Let C be the centre of a circle , and 76 ELEMENTS OF GEOMETRY .
... eccentric point , two straight lines be drawn to the circumference of a circle ; the one which passes nearer the centre , is greater than that which lies more remote . Let C be the centre of a circle , and 76 ELEMENTS OF GEOMETRY .
Seite 77
... circumference . Cor . 2. Hence also , whether the eccentric point be with- in or without the circle , the straight line AH is the short- est that can be drawn from A to the circumference . For AE is less than AD , and AG less than AF ...
... circumference . Cor . 2. Hence also , whether the eccentric point be with- in or without the circle , the straight line AH is the short- est that can be drawn from A to the circumference . For AE is less than AD , and AG less than AF ...
Seite 78
... circumference of the circle . PROP . VIII . THEOR . From any eccentric point , not more than two equal straight lines can be drawn to the circum- ference , one on each side of the diameter . Let A be a point which is not the centre of ...
... circumference of the circle . PROP . VIII . THEOR . From any eccentric point , not more than two equal straight lines can be drawn to the circum- ference , one on each side of the diameter . Let A be a point which is not the centre of ...
Seite 79
... circumference , is the cen- tre of the circle . Cor . 2. Hence a circle will not cut another in more than two points . PROP . IX . THEOR . A circle may be described through three points which are not in the same straight line . Let A ...
... circumference , is the cen- tre of the circle . Cor . 2. Hence a circle will not cut another in more than two points . PROP . IX . THEOR . A circle may be described through three points which are not in the same straight line . Let A ...
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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