A Key to the Exercises and Examples Contained in a Text-book of Euclid's Elements |
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Page 20
... centre and radius equal to given length describe a circle . This will in general cut CD in two pts . L , M. Then lines drawn through O par . to AL and AM will be the required lines . 26. Let AB be the line to which the required line is ...
... centre and radius equal to given length describe a circle . This will in general cut CD in two pts . L , M. Then lines drawn through O par . to AL and AM will be the required lines . 26. Let AB be the line to which the required line is ...
Page 23
... centre B , with radius equal to K , describe a circle cutting AE or AE produced in the points C , C ' . From C and C ' draw perps . CD , C'D ' to AB ; and join CB , C'B . Then either of the As CDB , C'D'B will satisfy the given con ...
... centre B , with radius equal to K , describe a circle cutting AE or AE produced in the points C , C ' . From C and C ' draw perps . CD , C'D ' to AB ; and join CB , C'B . Then either of the As CDB , C'D'B will satisfy the given con ...
Page 30
... centre From C ( or given sq . A with radius K draw a circle to cut BD at C and C ' . C ' ) draw CX perp . to AB . Then AB is divided as required at X. For sq . on AC = sqq . on AX , XC [ 1. 47 ] = sqq . on AX , XB , for XC = XB , since ...
... centre From C ( or given sq . A with radius K draw a circle to cut BD at C and C ' . C ' ) draw CX perp . to AB . Then AB is divided as required at X. For sq . on AC = sqq . on AX , XC [ 1. 47 ] = sqq . on AX , XB , for XC = XB , since ...
Page 44
... centres . 2. Let the bisector of BAC cut BC in D. ADB , ADC , it follows that DB = DC and ADB = .. AD passes through the centre . Then in As ADC [ 1. 4 ] . 3. If the chords are not par1 . , bisect each at rt . s . If they are par1 ...
... centres . 2. Let the bisector of BAC cut BC in D. ADB , ADC , it follows that DB = DC and ADB = .. AD passes through the centre . Then in As ADC [ 1. 4 ] . 3. If the chords are not par1 . , bisect each at rt . s . If they are par1 ...
Page 45
... centre . This chord will be bisected at the given pt . 9. Let O be the common centre , ABCD the st . line cutting the inner in B , C , and the outer in A , D. Draw OX perp . to ABCD . Then BXCX and AX = DX . ference CD . .. difference ...
... centre . This chord will be bisected at the given pt . 9. Let O be the common centre , ABCD the st . line cutting the inner in B , C , and the outer in A , D. Draw OX perp . to ABCD . Then BXCX and AX = DX . ference CD . .. difference ...
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 AB˛ ABCD AC˛ angles Assistant Master AX˛ BC˛ 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 parš 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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