Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious Notes and IllustrationsA. Constable & Company, 1817 - 432 Seiten |
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Seite 6
... angle . The angle contained by the opposite portions DA and DB of a straight line is hence equal to two right angles ... exterior angle . 9. A vertical angle is formed by the production of 6 ELEMENTS OF GEOMETRY .
... angle . The angle contained by the opposite portions DA and DB of a straight line is hence equal to two right angles ... exterior angle . 9. A vertical angle is formed by the production of 6 ELEMENTS OF GEOMETRY .
Seite 7
... exterior angle , and the angle made up of ABD , DBE , and EBC , or the opening formed by the regression of AB through the points D and E into the position BC , is the reverse angle . -D E It is apparent that vertical angles , or those ...
... exterior angle , and the angle made up of ABD , DBE , and EBC , or the opening formed by the regression of AB through the points D and E into the position BC , is the reverse angle . -D E It is apparent that vertical angles , or those ...
Seite 18
... exterior angle of a triangle is greater than either of its interior opposite angles . The exterior angle BCF , formed by producing a side AC of the triangle ABC , is greater than either of the op- posite and interior angles CAB and CBA ...
... exterior angle of a triangle is greater than either of its interior opposite angles . The exterior angle BCF , formed by producing a side AC of the triangle ABC , is greater than either of the op- posite and interior angles CAB and CBA ...
Seite 19
... exterior angle ACG is greater than CAB . But ' ACG is equal to the vertical angle BCF , and hence BCF must be greater than either the angle CBA or CAB . Cor . Hence all the exterior angles of a triangle are t greater than the interior ...
... exterior angle ACG is greater than CAB . But ' ACG is equal to the vertical angle BCF , and hence BCF must be greater than either the angle CBA or CAB . Cor . Hence all the exterior angles of a triangle are t greater than the interior ...
Seite 24
... angle ADC , being the exterior angle of the triangle DCE , is greater than DEC ( I. 8. ) ; and , for the same reason , DEC is greater than ABE , the opposite in- terior angle of the triangle EAB . Consequently ADC is still greater than ...
... angle ADC , being the exterior angle of the triangle DCE , is greater than DEC ( I. 8. ) ; and , for the same reason , DEC is greater than ABE , the opposite in- terior angle of the triangle EAB . Consequently ADC is still greater than ...
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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