Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious Notes and IllustrationsA. Constable & Company, 1817 - 432 Seiten |
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Seite 21
... . 8. ) greater than ACD or ACB ; wherefore the angle CAB is much greater than ACB . A PROP . XIII . THEOR . That side of a triangle is the greater which sub- tends a greater angle . If , in the triangle ABC , the angle CAB BOOK I. 21.
... . 8. ) greater than ACD or ACB ; wherefore the angle CAB is much greater than ACB . A PROP . XIII . THEOR . That side of a triangle is the greater which sub- tends a greater angle . If , in the triangle ABC , the angle CAB BOOK I. 21.
Seite 24
... Wherefore the sides AB and BC , being greater than AE and EC , which are themselves greater than AD and DC , must be still greater than AD and DC , or the lines AD and DC are less than AB and BC , the sides of the triangle . Again , the ...
... Wherefore the sides AB and BC , being greater than AE and EC , which are themselves greater than AD and DC , must be still greater than AD and DC , or the lines AD and DC are less than AB and BC , the sides of the triangle . Again , the ...
Seite 28
... Wherefore the point B , which is common to both the lines AB and CB , will be found likewise in both DE and FE ; that is , it must fall upon the corresponding vertex E. The two triangles ABC and DEF , thus mu- tually adapting , are ...
... Wherefore the point B , which is common to both the lines AB and CB , will be found likewise in both DE and FE ; that is , it must fall upon the corresponding vertex E. The two triangles ABC and DEF , thus mu- tually adapting , are ...
Seite 31
... Wherefore , there is a certain position CD , in which the line revolving about the point F makes the ex- terior angle EFC equal to the interior EGA , and at the same instant of time meets AB neither towards the one part nor the other ...
... Wherefore , there is a certain position CD , in which the line revolving about the point F makes the ex- terior angle EFC equal to the interior EGA , and at the same instant of time meets AB neither towards the one part nor the other ...
Seite 36
... Wherefore the two angles CAB and ABC are equal to DCE and ECB , or to the whole exte- rior angle BCD . › Again , add the adjacent angle BCA to the exterior angle BCD , and to the B I N D two interior angles CAB and ABC ; and all the ...
... Wherefore the two angles CAB and ABC are equal to DCE and ECB , or to the whole exte- rior angle BCD . › Again , add the adjacent angle BCA to the exterior angle BCD , and to the B I N D two interior angles CAB and ABC ; and all the ...
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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