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

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Page xii

**Similarly**, L BAC = L BCA , ..L DAB = L DCB . 9. In the AS BCD , ADC , BC = AD , and dc is common to both , and _ BCD = _ ADC ; .. BD = AC . [ 1. 4. ] [ 1. 5. ] [ 1. 4. ] 10 . In the AS BLM , CNM , BL = CN , and BM MC , and L LBM = L ... Page 2

**Similarly**for the other pair of angles . = > 5. Here _ YAB = _YBA ; and _ XAB = - XBA ; .. XAY = XBY . Join XY , then it easily follows that AXAY = AXBY in all respects . ABCD is a rhombus and BD a diagonal . Then AS ABD , CBD are equal ... Page 3

**Similarly**DE = FE = FD . 10. 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 = LCBX [ Ex . 6 ] . Page 4

**Similarly**AB cannot be s AC . 3. Here the < ACB > the ADC [ 1. 16 ] ; .. the - ABC > the LADC ; : . in A ABD , AD > AB . 4. Let ABCD be the quadril . having AB the least and CD the greatest side . Join BD . Page 5

**Similarly**perim . ...**Similarly**AB > BX . ... the required A. If FK > FG + GK , then FK > FH , and the circle with centre F would fall outside the other circle , and there would be no pt . of intersection K.**Similarly**if GK > GF + FK .### 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 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 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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