The first three books of Euclid's Elements of geometry, with theorems and problems, by T. Tate1851 - 139 sider |
Inni boken
Resultat 1-5 av 20
Side 6
... interior angles on the same side of it taken together less than two right angles , these straight lines being continually pro- duced , shall at length meet upon that side on which are the angles which are less than two right angles ...
... interior angles on the same side of it taken together less than two right angles , these straight lines being continually pro- duced , shall at length meet upon that side on which are the angles which are less than two right angles ...
Side 20
... interior opposite angles . A E F Let ABC be a triangle , and let its side BC be produced to D , the exterior angle A CD is greater than either of the interior opposite angles CBA , BA C. Bisect ( 1. 10. ) AC in E , join BE and produce ...
... interior opposite angles . A E F Let ABC be a triangle , and let its side BC be produced to D , the exterior angle A CD is greater than either of the interior opposite angles CBA , BA C. Bisect ( 1. 10. ) AC in E , join BE and produce ...
Side 21
... interior and opposite angle ABC ; to each of these add the angle ACB ; there- fore the angles ACD , ACB are greater than the angles ABC , ACB ; but AC D , ACB are together equal ( 1. 13. ) to two right angles ; therefore the angles ABC ...
... interior and opposite angle ABC ; to each of these add the angle ACB ; there- fore the angles ACD , ACB are greater than the angles ABC , ACB ; but AC D , ACB are together equal ( 1. 13. ) to two right angles ; therefore the angles ABC ...
Side 23
... shown that B A , A C are greater than B E , EC ; much more then are B A , A C greater than B D , D C. Again , because the exterior angle of a triangle is greater than the interior and opposite angle ( 1. BOOK I. PROP . XXI . 23.
... shown that B A , A C are greater than B E , EC ; much more then are B A , A C greater than B D , D C. Again , because the exterior angle of a triangle is greater than the interior and opposite angle ( 1. BOOK I. PROP . XXI . 23.
Side 24
Euclides Thomas Tate. is greater than the interior and opposite angle ( 1. 16. ) , the exterior angle B DC of the triangle CDE is greater than CED ; for the same reason , the exterior angle CEB of the triangle A BE is greater than BAC ...
Euclides Thomas Tate. is greater than the interior and opposite angle ( 1. 16. ) , the exterior angle B DC of the triangle CDE is greater than CED ; for the same reason , the exterior angle CEB of the triangle A BE is greater than BAC ...
Andre utgaver - Vis alle
The first three books of Euclid's Elements of geometry, with theorems and ... Euclid,Thomas Tate Uten tilgangsbegrensning - 1849 |
The First Three Books of Euclid's Elements of Geometry from the Text of Dr ... Euclid,Thomas Tate Ingen forhåndsvisning tilgjengelig - 2014 |
The First Three Books of Euclid's Elements of Geometry from the Text of Dr ... Euclid,Thomas Tate Ingen forhåndsvisning tilgjengelig - 2014 |
Vanlige uttrykk og setninger
A B C ABCD adjacent angles angle ABC angle ACB angle BAC angle equal angles BGH base BC BC is equal bisect centre circle ABC circumference diameter divided double draw a straight equal angles equal circles equal straight lines equal to FB exterior angle given point given rectilineal angle given straight line gnomon greater half a right hypotenuse interior and opposite isosceles triangle less Let ABC Let the straight line be drawn opposite angles parallel parallelogram perpendicular PROB produced Q. E. D. PROP rectangle AE rectangle contained rectilineal figure remaining angle right angles segment semicircle side BC square of AC straight line AB straight line AC straight line drawn THEOR touches the circle trapezium triangle ABC twice the rectangle vertex vertical angle