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

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Page vi

As beginners are sometimes at a loss to know the form in which they may present

the solution of an elementary geometrical question , the exercises occurring on

pages 17— 17 B have been worked out fully and placed in an

As beginners are sometimes at a loss to know the form in which they may present

the solution of an elementary geometrical question , the exercises occurring on

pages 17— 17 B have been worked out fully and placed in an

**Introduction**. Page vii

In place of Ex . 13 read , " Given the orthocentre , the centre of the nine - points -

circle , and the middle point of the base , construct the triangle . ” H. S. HALL .

F. H. STEVENS . October , 1892 .

EXERCISES ...

In place of Ex . 13 read , " Given the orthocentre , the centre of the nine - points -

circle , and the middle point of the base , construct the triangle . ” H. S. HALL .

F. H. STEVENS . October , 1892 .

**INTRODUCTION**. SOLUTIONS TOEXERCISES ...

Page ix

. From centre C with rad . L describe a O cutting AB in E , F. Then CE = CF [ Def .

11. ] Thus E and F are the required pts . The pts . can only be found provided the

...

**INTRODUCTION**. SOLUTIONS TO EXERCISES ON PAGES 17-17 B. Page 17 . 1. From centre C with rad . L describe a O cutting AB in E , F. Then CE = CF [ Def .

11. ] Thus E and F are the required pts . The pts . can only be found provided the

...

Page x

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 , LALM = L ANM 4 X

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 , LALM = L ANM 4 X

**INTRODUCTION**. Page xii

... is isosceles , ... ALN = L ANL , and [ 1. 5. ] KEY TO EXERCISES . BOOK I. Page

13 . 1. 2 MLN = MNL , LALM = L ANM 4 . By Ex . 2 the fig . is xii

... is isosceles , ... ALN = L ANL , and [ 1. 5. ] KEY TO EXERCISES . BOOK I. Page

13 . 1. 2 MLN = MNL , LALM = L ANM 4 . By Ex . 2 the fig . is xii

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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 |

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### 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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