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

### From inside the book

Page vi

Read , “ In any

Read , “ In any

**triangle**, if a circle is described from the middle point of one side as centre and with a radius equal to half the sum of the other two sides , it will touch the circles described on these sides as diameters . Page vii

In place of Ex . 27 read , “ Given a vertex , the centre of the circumscribed circle , and the centre of the inscribed circle , construct the

In place of Ex . 27 read , “ Given a vertex , the centre of the circumscribed circle , and the centre of the inscribed circle , construct the

**triangle**. ” Page 283. Exx . 38 and 39 are removed to page 382 , where they take the place of ... Page ix

D , so that CAD is a second

D , so that CAD is a second

**triangle**satisfying the given conditions . 3 . Join Ac , and let L be the given length of each side . From centre c , with rad . L , draw the O EBD . From centre A , with rad . , draw the OFBD , cutting the ... Page 14

THEOREMS AND EXAMPLES ON BOOK I. I. ON THE IDENTICAL EQUALITY OF

THEOREMS AND EXAMPLES ON BOOK I. I. ON THE IDENTICAL EQUALITY OF

**TRIANGLES**. Page 90 . 1. Let the base BC be bisected by the perp . AD . Then DC , AD is common and the LBDA = L CDA . .. AB = AC . BD = 2. Let AD bisect the vert . Page 22

Hence it easily follows that EBDO is a rhombus ( 1. 34 ] . VII . ON THE CONSTRUCTION OF

Hence it easily follows that EBDO is a rhombus ( 1. 34 ] . VII . ON THE CONSTRUCTION OF

**TRIANGLES**WITH GIVEN PARTS 22 KEY TO EUCLID .### 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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