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

### From inside the book

Results 1-5 of 35

Page vii

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

and the centre of the

and 39 are removed to page 382 , where they take the place of Exx . 59 and 60 .

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 . 38and 39 are removed to page 382 , where they take the place of Exx . 59 and 60 .

Page 45

Similarly if PX , QY intersect in o ' , o ' lies on RZ . Page 158 . 1. The diagonals of

a parm , bisect one another ... their pt . of intersection is the centre . 2. Let the

parm . ABCD be

Similarly if PX , QY intersect in o ' , o ' lies on RZ . Page 158 . 1. The diagonals of

a parm , bisect one another ... their pt . of intersection is the centre . 2. Let the

parm . ABCD be

**inscribed**in a EXERCISES ON BOOK III . 45 PAGES 156 , 158 . Page 46

ABCD be

of the o [ Ex . 1 ] . Because AO = BO , .. LOAB LOBA . And because AO = DO , .

LOAD = LODA ; . : . whole DAB = sum of _ S ABD , ADB ; ... DAB is a rt . 2 ( 1. 32 ]

. 3.

ABCD be

**inscribed**in a 0. Then the diagonals AC , BD intersect in 0 , the centreof the o [ Ex . 1 ] . Because AO = BO , .. LOAB LOBA . And because AO = DO , .

LOAD = LODA ; . : . whole DAB = sum of _ S ABD , ADB ; ... DAB is a rt . 2 ( 1. 32 ]

. 3.

Page 54

Let ABCD be a quad !

bisect the ext . — at D. Then angle CDE = half the supplement of 2 ADC = half the

< ABC = L CBE . : . CBDE is concyclic [ Conv . of Prop . 21 ) . .. E is on the O

ABCD ...

Let ABCD be a quad !

**inscribed**in a 0. Let BE bisect the int . į at B , and let debisect the ext . — at D. Then angle CDE = half the supplement of 2 ADC = half the

< ABC = L CBE . : . CBDE is concyclic [ Conv . of Prop . 21 ) . .. E is on the O

ABCD ...

Page 71

... known as the

28. Let AB be the given st . line , c the given point in it , and D the other point

through which the required is to pass . Then since the required o is to touch AB at

C ...

... known as the

**inscribed**and escribed os of the formed by the three given lines .28. Let AB be the given st . line , c the given point in it , and D the other point

through which the required is to pass . Then since the required o is to touch AB at

C ...

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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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