Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious Notes and IllustrationsA. Constable & Company, 1817 - 432 Seiten |
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Seite 10
... circle is a figure described by the revolution of a straight line about one of its extremities : 34. The fixed point is called the centre of the circle , the describing line its radius , and the boundary traced by the remote end of that ...
... circle is a figure described by the revolution of a straight line about one of its extremities : 34. The fixed point is called the centre of the circle , the describing line its radius , and the boundary traced by the remote end of that ...
Seite 12
... circle , meeting the former in the point C : ACB is the triangle required . Because all the radii of the same circle are equal , AC is equal to G ; and , for the same reason , BC is equal to H. G H B Consequently the triangle ACB ...
... circle , meeting the former in the point C : ACB is the triangle required . Because all the radii of the same circle are equal , AC is equal to G ; and , for the same reason , BC is equal to H. G H B Consequently the triangle ACB ...
Seite 13
... circle described from D with the distance DF ; and , for the same reason ,. .B must be found in the circumference of a circle de- scribed from E with the distance D EA B EF : The vertex of the triangle ACB must , therefore , ap- pear in ...
... circle described from D with the distance DF ; and , for the same reason ,. .B must be found in the circumference of a circle de- scribed from E with the distance D EA B EF : The vertex of the triangle ACB must , therefore , ap- pear in ...
Seite 17
... circle ; and , in the same line , take towards B another point E , and with the distance EC describe a second circle intersecting the former in F ; join CF , crossing the gi- ven line in G : CG is perpendicular to AB . For the straight ...
... circle ; and , in the same line , take towards B another point E , and with the distance EC describe a second circle intersecting the former in F ; join CF , crossing the gi- ven line in G : CG is perpendicular to AB . For the straight ...
Seite 71
... circle con- tained 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 ...
... circle con- tained 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 ...
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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