Elements of GeometryW.J. Gage & Company, 1881 |
Dall'interno del libro
Risultati 1-5 di 42
Pagina 2
... angle at E : but when several angles are at one point B , either of them is expressed by three letters , of which ... contained by the straight lines AB , CB , is named the angle ABC , or CBA ; that which is contained by AB , DB , is ...
... angle at E : but when several angles are at one point B , either of them is expressed by three letters , of which ... contained by the straight lines AB , CB , is named the angle ABC , or CBA ; that which is contained by AB , DB , is ...
Pagina 8
... contained by those sides equal to each other ; they shall likewise have their bases or third sides equal , and the ... angle BAC equal to the included angle EDF Then shall the base BC be equal to the base EUCLID'S ELEMENTS .
... contained by those sides equal to each other ; they shall likewise have their bases or third sides equal , and the ... angle BAC equal to the included angle EDF Then shall the base BC be equal to the base EUCLID'S ELEMENTS .
Pagina 9
... angle APÎ to the angle DEF , and the angle ACB to the angle DFE . A D B E For , if the triangle ABC be applied to ... contain the angle FAG common to the two triangles AFC , AGB ; B5 B P D E therefore the base FC is equal BOOK 1. PROP . IV ,
... angle APÎ to the angle DEF , and the angle ACB to the angle DFE . A D B E For , if the triangle ABC be applied to ... contain the angle FAG common to the two triangles AFC , AGB ; B5 B P D E therefore the base FC is equal BOOK 1. PROP . IV ,
Pagina 12
... angle ECD is greater than the angle BCD ; ( ax . 9. ) therefore also the ... contained by the two sides equal to them , of the other . Let ABC , DEF be ... angle BAC shall be equal to the angle EDF . For , if the triangle ABC be applied ...
... angle ECD is greater than the angle BCD ; ( ax . 9. ) therefore also the ... contained by the two sides equal to them , of the other . Let ABC , DEF be ... angle BAC shall be equal to the angle EDF . For , if the triangle ABC be applied ...
Pagina 20
... angle ACD is equal to the angle ADC ; ( 1. 5. ) but the angle BCD is greater ... contain a greater angle . Let ABC be a triangle , and from the points B , C ... contain an angle BDC greater than the angle BAC . D E B Produce BD to meet ...
... angle ACD is equal to the angle ADC ; ( 1. 5. ) but the angle BCD is greater ... contain a greater angle . Let ABC be a triangle , and from the points B , C ... contain an angle BDC greater than the angle BAC . D E B Produce BD to meet ...
Parole e frasi comuni
AB is equal AC is equal adjacent angles algebraical alternate angles angle ABC angle ACB angle AGH angle BAC angle contained angle EDF angle equal axiom base BC bisected circle definition demonstration diagonals double equal angles equal to AC equal to twice equilateral triangle Euclid Euclid's Elements exterior angle Geometrical given line given point given straight line gnomon greater hypotenuse interior and opposite isosceles triangle join Let ABC line BC line be divided linear units lines be drawn magnitude meet opposite angles opposite sides parallel straight lines parallel to BC parallelogram perpendicular porism problem produced Prop proved Q. E. D. PROPOSITION quadrilateral rectangle AC rectangle contained remaining angle right angles right-angled triangle segments shew shewn side BC square described square on AC THEOREM trapezium triangle ABC twice the rectangle unequal vertex wherefore