A Key to the Exercises and Examples Contained in a Text-book of Euclid's Elements |
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Page 27
... in D , and draw AE par1 . to BC . With centre B and radius equal to half the sum of sides BA , AC , describe a circle cutting AE in E ; through D draw DF par ' . to BE meeting THEOREMS AND EXAMPLES ON BOOK I. PAGE 112. 27.
... in D , and draw AE par1 . to BC . With centre B and radius equal to half the sum of sides BA , AC , describe a circle cutting AE in E ; through D draw DF par ' . to BE meeting THEOREMS AND EXAMPLES ON BOOK I. PAGE 112. 27.
Page 30
... radius K cuts BC in two pts . , touches at one , or does not meet it at all . IX . ON LOCI . Page 117 . 4. The locus is a concentric circle whose radius is equal to the sum or difference of the radius of given circle and the given ...
... radius K cuts BC in two pts . , touches at one , or does not meet it at all . IX . ON LOCI . Page 117 . 4. The locus is a concentric circle whose radius is equal to the sum or difference of the radius of given circle and the given ...
Page 31
... equal to X. From B as centre and with radius equal to Y describe a circle . Draw BD perp . to AZ ; then BD is the shortest distance of B from AZ . ( i ) If Y < BD , the circle THEOREMS AND EXAMPLES ON BOOK I. PAGES 117-119 . 31.
... equal to X. From B as centre and with radius equal to Y describe a circle . Draw BD perp . to AZ ; then BD is the shortest distance of B from AZ . ( i ) If Y < BD , the circle THEOREMS AND EXAMPLES ON BOOK I. PAGES 117-119 . 31.
Page 32
... radius equal to the given distance describe a circle cutting EF in P and Q ; then P and Q satisfy the required conditions . If the circle meets EF in one pt . only there is one solution ; if the circle does not meet EF there is no ...
... radius equal to the given distance describe a circle cutting EF in P and Q ; then P and Q satisfy the required conditions . If the circle meets EF in one pt . only there is one solution ; if the circle does not meet EF there is no ...
Page 44
... radius equal to the given radius . Again , with the pt . of intersection of these circles as centre , describe a circle with the given radius . This is the circle required . 7. If possible , let a st . line cut 44 KEY TO EUCLID .
... radius equal to the given radius . Again , with the pt . of intersection of these circles as centre , describe a circle with the given radius . This is the circle required . 7. If possible , let a st . line cut 44 KEY TO EUCLID .
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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