Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious Notes and IllustrationsA. Constable & Company, 1817 - 432 Seiten |
Im Buch
Ergebnisse 1-5 von 100
Seite 19
... 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 , and likewise greater than three right angles . 1 PROP . IX . THEOR . Any two angles of a ...
... 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 , and likewise greater than three right angles . 1 PROP . IX . THEOR . Any two angles of a ...
Seite 25
... Hence only a single perpendicular CD can be let fall from the same point C upon a given straight line AB ; and hence also a pair only of equal straight lines greater than CD can at once be extended from C to AB , making on the same side ...
... Hence only a single perpendicular CD can be let fall from the same point C upon a given straight line AB ; and hence also a pair only of equal straight lines greater than CD can at once be extended from C to AB , making on the same side ...
Seite 33
... Hence the angles of a square or rectangle are all of them right angles ; for the opposite sides being equal , are parallel ; and if the angle at A be right , the other in- terior one at B is also a right angle ( I. 22. ) , and conse ...
... Hence the angles of a square or rectangle are all of them right angles ; for the opposite sides being equal , are parallel ; and if the angle at A be right , the other in- terior one at B is also a right angle ( I. 22. ) , and conse ...
Seite 34
... Hence the diagonal divides a rhomboid or paral- lelogram into two equal triangles . PROP . XXVII . THEOR . If the parallel sides of a trapezoid be equal , the other sides are likewise equal and parallel . Let the sides AB and DC be ...
... Hence the diagonal divides a rhomboid or paral- lelogram into two equal triangles . PROP . XXVII . THEOR . If the parallel sides of a trapezoid be equal , the other sides are likewise equal and parallel . Let the sides AB and DC be ...
Seite 36
... Hence the two acute angles of a right angled triangle are together equal to one right angle ; and hence each angle of an equilateral triangle is two - third parts of a right angle . Cor . 2. Hence if a triangle have its exterior angle ...
... Hence the two acute angles of a right angled triangle are together equal to one right angle ; and hence each angle of an equilateral triangle is two - third parts of a right angle . Cor . 2. Hence if a triangle have its exterior angle ...
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