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

### From inside the book

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Page x

...

( iii ) Because OAB is an isosceles A , ..LDAB = LEBA . [ 1. 5. ] ( iv ) The A S ODB ,

OEA are equal in all respects , ( proved in ( ii ) ] .. LODB = LOEA . 2 MLN = MNL ...

...

**common**to the two AS ; .. DB = AE [ 1. 4. ] and the As are equal in all respects .( iii ) Because OAB is an isosceles A , ..LDAB = LEBA . [ 1. 5. ] ( iv ) The A S ODB ,

OEA are equal in all respects , ( proved in ( ii ) ] .. LODB = LOEA . 2 MLN = MNL ...

Page xi

[ 1. 4. ] The other two cases follow in a similar manner by 1. 4 . ( iii ) from the

equal AS AND , AMB . ( iv ) from the equal AS BNC , DMC . Page 17 B. 3. In the

As OAM , OBM , OA = OB , being radii of a 0 , OM is

AOM ...

[ 1. 4. ] The other two cases follow in a similar manner by 1. 4 . ( iii ) from the

equal AS AND , AMB . ( iv ) from the equal AS BNC , DMC . Page 17 B. 3. In the

As OAM , OBM , OA = OB , being radii of a 0 , OM is

**common**to the two As , and LAOM ...

Page xii

In the AS BAE , CAE , BA = AC and AE is

BE = EC . [ Ex . 5. ] [ 1. 4. ] 8. Because DA = DC , :: LDACOL DCA . [ Def . 29. ]

Similarly , L BAC = L BCA , ... DAB = L DCB . 9. In the AS BCD , ADC , BC = AD ...

In the AS BAE , CAE , BA = AC and AE is

**common**to both ; also - BAE = L CAE , ..BE = EC . [ Ex . 5. ] [ 1. 4. ] 8. Because DA = DC , :: LDACOL DCA . [ Def . 29. ]

Similarly , L BAC = L BCA , ... DAB = L DCB . 9. In the AS BCD , ADC , BC = AD ...

Page 2

10 , CA = CB , CD is

all respects ( 1. 4 ] . 2. Bisect the given st . line , and with the half line for the equal

sides describe an isosc . A as in Ex . 1 , page 13 . Page 25 . 3. Take a pt .

10 , CA = CB , CD is

**common**, and LACD = į BCD . :: ASACD , BCD are equal inall respects ( 1. 4 ] . 2. Bisect the given st . line , and with the half line for the equal

sides describe an isosc . A as in Ex . 1 , page 13 . Page 25 . 3. Take a pt .

Page 3

In A8 CBF , BCE , CF = BE by constr . , BC is

= CE . 11 . ABCD the rhombus has diags . BD , CA meeting at X. Then AB = BC ,

BX is

In A8 CBF , BCE , CF = BE by constr . , BC is

**common**, and - FCB = · EBC , : . BF= CE . 11 . ABCD the rhombus has diags . BD , CA meeting at X. Then AB = BC ,

BX is

**common**and L ABX = L CBX [ Ex . 6 ] . :: A $ ABX , CBX are equal in all ...### What people are saying - Write a review

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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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