## A Key to the Exercises and Examples Contained in a Text-book of Euclid's Elements |

### From inside the book

Results 6-10 of 44

Page 19

Then XZ = ZY being projections of the equal lines AO , OB . .. the A ' XZO , YzO

are

in M. BM = 20L [ Ex . 1 , 3 , p . 96 ) . Also AX = LZ = MY . .. 2oz 20L + 2LZ = BM + ...

Then XZ = ZY being projections of the equal lines AO , OB . .. the A ' XZO , YzO

are

**identically equal**( 1. 4 ] . Then 17 . Draw ALM par . to XY meeting oz in L , BYin M. BM = 20L [ Ex . 1 , 3 , p . 96 ) . Also AX = LZ = MY . .. 2oz 20L + 2LZ = BM + ...

Page 20

With A as centre and radius equal to given length describe a circle . ... Let QP

meet AB in P ; draw PT on AB equal to the given length ; through T draw TR par !.

to PQ meeting SR in R ; through R draw ... A ' DEB , DEC are

With A as centre and radius equal to given length describe a circle . ... Let QP

meet AB in P ; draw PT on AB equal to the given length ; through T draw TR par !.

to PQ meeting SR in R ; through R draw ... A ' DEB , DEC are

**identically equal**[ 1. Page 21

BD . Then AS ABE , CDF are

CFE = suppe . of _ DFC = suppt . of į AEB = L AEF . . : . FC is par . to AE ; : . AF is

equal and par !. to EC ( 1. 33 ) . 12. The As ACZ , ABX are

.

BD . Then AS ABE , CDF are

**identically equal**( 1. 4 ) , so that AE = FC . Also LCFE = suppe . of _ DFC = suppt . of į AEB = L AEF . . : . FC is par . to AE ; : . AF is

equal and par !. to EC ( 1. 33 ) . 12. The As ACZ , ABX are

**identically equal**( 1. 4 ].

Page 22

... nearer to O. Draw OEF perp . to AB , CD respectively , and og perp . to OF

making OG equal to OF . Draw GH perp . to AB ; join Oh , and draw OK perp . to

OH meeting BC in K. Then As OHG , OFK are

OK .

... nearer to O. Draw OEF perp . to AB , CD respectively , and og perp . to OF

making OG equal to OF . Draw GH perp . to AB ; join Oh , and draw OK perp . to

OH meeting BC in K. Then As OHG , OFK are

**identically equal**[ 1. 26 ] , and OH =OK .

Page 24

Then A EOB , DOF are

parm . 2. Join the given pt . to the middle pt . of a diagonal , and produce it to

meet two of the parallel sides . Examples 3 and 4 are particular cases of Ex . 1 . 5.

Then A EOB , DOF are

**identically equal**( 1. 29 , 26 ) . .. AEFD = A ADB = half theparm . 2. Join the given pt . to the middle pt . of a diagonal , and produce it to

meet two of the parallel sides . Examples 3 and 4 are particular cases of Ex . 1 . 5.

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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

ABCD angles Assistant base bisector bisects BOOK Cambridge centre chord circle College common constant containing describe diam diameter distance double draw drawn Edited ELEMENTARY ENGLISH equal EXAMPLES Exercises external Fcap Fellow figure fixed four given given st greater GREEK half Hence HISTORY identically equal Illustrated inscribed intersect Introduction JOHN Join LATIN Let ABC locus Master Mathematics meet middle point Notes parl parm passes perp plane preparation Press produced Prof Professor proved radius ratio rect respectively revised School segment shewn sides similar Similarly solutions Take tangent touch Translated triangle twice University vols

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