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

### From inside the book

Results 1-5 of 48

Page 44

_ s is the st . line passing through both centres . 2. Let the bisector of < BAC cut

BC in D. Then in As ADB , ADC , it follows that DB = DC and LADB = L ADC [ 1. 4

) . .. AD passes through the centre . 3. If the

...

_ s is the st . line passing through both centres . 2. Let the bisector of < BAC cut

BC in D. Then in As ADB , ADC , it follows that DB = DC and LADB = L ADC [ 1. 4

) . .. AD passes through the centre . 3. If the

**chords**are not par ? . , bisect each at...

Page 45

Draw a

will be bisected at the given pt . 9. Let o be the ... The st . line , through the centre ,

perp . to one of the par !

Draw a

**chord**perp . to the st . line joining the given pt . to the centre . This**chord**will be bisected at the given pt . 9. Let o be the ... The st . line , through the centre ,

perp . to one of the par !

**chords**, is perp . to the other [ 1. 29 ] . And this st . line ... Page 48

Let A , B be the middle pts . of the given

and Be = 4 in . Then , supposing the

let AB be produced to C the centre . Then CD2 = CE ” ; that is , CAR + 9 = CB ?

Let A , B be the middle pts . of the given

**chords**DAF , EBG , so that AD = 3 in .and Be = 4 in . Then , supposing the

**chords**to be on the same side of the centre ,let AB be produced to C the centre . Then CD2 = CE ” ; that is , CAR + 9 = CB ?

Page 49

Hence two and only two

173 . 1. Since equal

whose centre is the centre of the given circle and radius is equal to the distance ...

Hence two and only two

**chords**from A can be drawn equal to one another . Page173 . 1. Since equal

**chords**are equidistant from the centre , the locus is a circle ,whose centre is the centre of the given circle and radius is equal to the distance ...

Page 50

Let XZY , X'z'Y ' be two

than Z ' to C the middle pt . of AB . Let o be the centre ... Let o be centre of given o

, and AB the given

.

Let XZY , X'z'Y ' be two

**chords**bisected at z and z ' in AB , of which Z is nearerthan Z ' to C the middle pt . of AB . Let o be the centre ... Let o be centre of given o

, and AB the given

**chord**upon which the middle pt . of the required**chord**is to lie.

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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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