A Key to the Exercises and Examples Contained in a Text-book of Euclid's Elements |
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Page v
... intersecting circles . It would of course be impossible within reasonable limits of space to deal separately with all the cases that may arise in every Example of this kind : we have therefore selected that case which we think would ...
... intersecting circles . It would of course be impossible within reasonable limits of space to deal separately with all the cases that may arise in every Example of this kind : we have therefore selected that case which we think would ...
Page 6
... intersecting lines meet at O forming POQ . Bisect POQ by OX meeting the other given st . line AB in X. From X draw XP , XQ perp . to the given lines . Then XP = XQ by I. 26 . If AB is par1 . to the bisector of the POQ , the pt . X ...
... intersecting lines meet at O forming POQ . Bisect POQ by OX meeting the other given st . line AB in X. From X draw XP , XQ perp . to the given lines . Then XP = XQ by I. 26 . If AB is par1 . to the bisector of the POQ , the pt . X ...
Page 11
... intersect at O , and let P be the pt . from which perps . PX , PY are drawn . If PX and PY are equal it may be shewn [ 1. 26 ] that OQ bisects both the XOY , XPY . But if PX is greater than PY , let the bisector of the XOY meet PX in Q ...
... intersect at O , and let P be the pt . from which perps . PX , PY are drawn . If PX and PY are equal it may be shewn [ 1. 26 ] that OQ bisects both the XOY , XPY . But if PX is greater than PY , let the bisector of the XOY meet PX in Q ...
Page 12
... intersect in E. Then , by Ex . 5 on p . 64 , E is the middle pt . of each diagonal . .. AAEC = ^ AEB = △ BED = A DEC . 7. The ΔΑΒΧ ΔΑΒΥ = ΔACY . = - AACX ; and AYBX = AYXC . Hence 8. Join BD cutting AC in E , then AE is a median of ...
... intersect in E. Then , by Ex . 5 on p . 64 , E is the middle pt . of each diagonal . .. AAEC = ^ AEB = △ BED = A DEC . 7. The ΔΑΒΧ ΔΑΒΥ = ΔACY . = - AACX ; and AYBX = AYXC . Hence 8. Join BD cutting AC in E , then AE is a median of ...
Page 15
... intersect in O. The As CBX , BCY are equal in all respects [ 1. 26 ] ; .. XCB = _YBC ; .. OB = OC [ 1. 6 ] ; ..A AOB , AOC are equal in all respects [ 1. 8 ] . S 8. In △ BAD , DAE , BAD = L DAE , △ BDA = LADE , and AD is common ...
... intersect in O. The As CBX , BCY are equal in all respects [ 1. 26 ] ; .. XCB = _YBC ; .. OB = OC [ 1. 6 ] ; ..A AOB , AOC are equal in all respects [ 1. 8 ] . S 8. In △ BAD , DAE , BAD = L DAE , △ BDA = LADE , and AD is common ...
Other editions - View all
A Key to the Exercises and Examples Contained in a Text-Book of Euclid's ... H S 1848-1934 Hall No preview available - 2018 |
A Key to the Exercises and Examples Contained in a Text-Book of Euclid's ... H. S. Hall No preview available - 2017 |
Common terms and phrases
A. W. VERRALL AABC AB² ABCD AC² angles Assistant Master AX² BC² bisector bisects Cambridge centre chord circle circum College concyclic constant describe diam diameter diff draw ELEMENTARY equiangular equilat FASNACHT Fcap fixed point G. E. FASNACHT given base given point given ratio given st GREEK Hence identically equal inscribed intersect Introduction and Notes ISAAC TODHUNTER isosceles Join Let ABC LL.D locus M.A. BOOK meet middle point middle pt orthocentre Owens College par¹ parm pedal triangle perp plane produced Prof Professor Radical Axis radius equal rect respectively segment shewn sides Similarly sum of sqq tangent touch Translated triangle Trinity College vert vols
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