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
... by two radii and the arc lying be- tween them . 4. The tangent to a circle is a straight line which touches the circumference , or meets it only in a single point . " а 5. Circles are said to touch mutually , if they ELEMENTS ...
... by two radii and the arc lying be- tween them . 4. The tangent to a circle is a straight line which touches the circumference , or meets it only in a single point . " а 5. Circles are said to touch mutually , if they ELEMENTS ...
Seite 89
... tangent to the circle , and the only tangent which can be applied at that point . Let ACB be the diameter of a circle , to which the straight line EBD is drawn at right angles from the extre- mity B ; it will touch the cir- cumference ...
... tangent to the circle , and the only tangent which can be applied at that point . Let ACB be the diameter of a circle , to which the straight line EBD is drawn at right angles from the extre- mity B ; it will touch the cir- cumference ...
Seite 90
... tangent , must be a diameter , or pass through the centre of the circle . Scholium . The nature of a tangent to the circle is easily discovered from the consideration of limits . For suppose the straight line DE , extending ways , H K ...
... tangent , must be a diameter , or pass through the centre of the circle . Scholium . The nature of a tangent to the circle is easily discovered from the consideration of limits . For suppose the straight line DE , extending ways , H K ...
Seite 91
... tangent are equal to those in the alternate segments of the circle . Let CD be a tangent , and BE a straight line drawn from the point of contact , cutting the circle into two segments BAE and BFE ; the angle EBD is equal to EAB , and ...
... tangent are equal to those in the alternate segments of the circle . Let CD be a tangent , and BE a straight line drawn from the point of contact , cutting the circle into two segments BAE and BFE ; the angle EBD is equal to EAB , and ...
Seite 92
... tangent , the angle EBF passes into EBD , and the angle of the opposite or alternate segment becomes BAE . PROP . XXII . PROB . To draw a tangent to a circle , from a given point without it . Let A be a given point , from which it is ...
... tangent , the angle EBF passes into EBD , and the angle of the opposite or alternate segment becomes BAE . PROP . XXII . PROB . To draw a tangent to a circle , from a given point without it . Let A be a given point , from which it is ...
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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