Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious Notes and IllustrationsA. Constable & Company, 1817 - 432 Seiten |
Im Buch
Ergebnisse 6-10 von 89
Seite 17
... angle CDE or CDG is equal to FDE or FDG . And because , in the triangles DCG and DFG , the side DC is equal to DF , DG common , and the contained angles CDG and FDG are proved to be equal ; these subordinate triangles are ( I. 3 ...
... angle CDE or CDG is equal to FDE or FDG . And because , in the triangles DCG and DFG , the side DC is equal to DF , DG common , and the contained angles CDG and FDG are proved to be equal ; these subordinate triangles are ( I. 3 ...
Seite 18
... contained angle ACE equal to BCE , are ( I. 3. ) equal , and consequently the base AE is equal to BE . PROP . VIII . THEOR . The exterior angle of a triangle is greater than either of its interior opposite angles . The exterior angle ...
... contained angle ACE equal to BCE , are ( I. 3. ) equal , and consequently the base AE is equal to BE . PROP . VIII . THEOR . The exterior angle of a triangle is greater than either of its interior opposite angles . The exterior angle ...
Seite 20
... angles BDA and BDC , and the angles ABD and CBD contained by them are equal ; these triangles are equal ( I. 3. ) , and consequently the angle BAD is equal to BCD . B D Cor . Every equilateral triangle is also equiangular . PROP . XI ...
... angles BDA and BDC , and the angles ABD and CBD contained by them are equal ; these triangles are equal ( I. 3. ) , and consequently the angle BAD is equal to BCD . B D Cor . Every equilateral triangle is also equiangular . PROP . XI ...
Seite 23
... angle . The straight lines AD and CD , projected to a point D within the triangle ABC from the extremities of the base AC , are together less than the sides AB and CB of the triangle , but contain a greater angle . For produce AD to ...
... angle . The straight lines AD and CD , projected to a point D within the triangle ABC from the extremities of the base AC , are together less than the sides AB and CB of the triangle , but contain a greater angle . For produce AD to ...
Seite 25
... contained angles CDE and CDF equal ; these triangles ( I. 3. ) are equal , and consequently their bases CE and CF ... angle CED of the triangle CDE is acute , and consequently its adjacent angle CEG is obtuse . Where- fore CEG , being ...
... contained angles CDE and CDF equal ; these triangles ( I. 3. ) are equal , and consequently their bases CE and CF ... angle CED of the triangle CDE is acute , and consequently its adjacent angle CEG is obtuse . Where- fore CEG , being ...
Inhalt
219 | |
225 | |
226 | |
231 | |
234 | |
237 | |
251 | |
256 | |
101 | |
110 | |
128 | |
142 | |
155 | |
181 | |
199 | |
200 | |
204 | |
257 | |
260 | |
262 | |
264 | |
283 | |
318 | |
338 | |
360 | |
365 | |
Andere Ausgaben - Alle anzeigen
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