Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious Notes and IllustrationsA. Constable & Company, 1817 - 432 Seiten |
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Seite 109
... decagon . Let AB be the straight line , on which it is required to describe a regular decagon . On AB construct ( IV . 4. ) an isosceles triangle having each of the angles at its base double of the vertical angle , and , about the point ...
... decagon . Let AB be the straight line , on which it is required to describe a regular decagon . On AB construct ( IV . 4. ) an isosceles triangle having each of the angles at its base double of the vertical angle , and , about the point ...
Seite 119
... decagon in a given circle . Let ADH be a circle , in which it is required to inscribe a regular decagon . Draw the radius OA , and with OA as its side describe the isosceles triangle AOB , having each of its angles at the base double of ...
... decagon in a given circle . Let ADH be a circle , in which it is required to inscribe a regular decagon . Draw the radius OA , and with OA as its side describe the isosceles triangle AOB , having each of its angles at the base double of ...
Seite 120
... decagon and a pentagon may be circum- scribed about the circle , by applying tangents at their se- veral angular ... decagon . Let ABCDEF be half of a decagon inscribed in a cir- cle whose diameter is AF ; the square of AC , the side of ...
... decagon and a pentagon may be circum- scribed about the circle , by applying tangents at their se- veral angular ... decagon . Let ABCDEF be half of a decagon inscribed in a cir- cle whose diameter is AF ; the square of AC , the side of ...
Seite 121
... decagon . Cor . The triple chord AD of the decagon is equal to the combined sides AO and AB of the inscribed hexa- gon and decagon . For the triangle OAG , being equal to AOB or COD , the angle DCO or DCG is equal to AGO or DGC , and ...
... decagon . Cor . The triple chord AD of the decagon is equal to the combined sides AO and AB of the inscribed hexa- gon and decagon . For the triangle OAG , being equal to AOB or COD , the angle DCO or DCG is equal to AGO or DGC , and ...
Seite 122
... decagon , and AD the side of a hexagon inscribed ; the arc BD will be the fifteenth part of the circumference of the circle , and DC the thirtieth part . For , if the circumference were divided into thirty equal portions , the arc AB ...
... decagon , and AD the side of a hexagon inscribed ; the arc BD will be the fifteenth part of the circumference of the circle , and DC the thirtieth part . For , if the circumference were divided into thirty equal portions , the arc AB ...
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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