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

### From inside the book

Results 1-5 of 94

Page vi

On Page 148 ( Euclid ) , Ex . 40 , read , “ Produce a

rectangle contained by the whole line thus produced and the part produced , may

be equal to the square on another

On Page 148 ( Euclid ) , Ex . 40 , read , “ Produce a

**given**straight line so that therectangle contained by the whole line thus produced and the part produced , may

be equal to the square on another

**given**line . ” Page 148 , Ex . 41. Page vii

In place of Ex . 27 read , “

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 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 . 38

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

Page ix

The pts . can only be found provided the

meets AB . 2. Join CA ; from centre c , with rad . equal to CA , describe a o cutting

PQ in B. Then CA = CB , [ Def . 11. ] .. ACAB is isosceles . The o will generally cut

...

The pts . can only be found provided the

**given**length L is such that the circlemeets AB . 2. Join CA ; from centre c , with rad . equal to CA , describe a o cutting

PQ in B. Then CA = CB , [ Def . 11. ] .. ACAB is isosceles . The o will generally cut

...

Page 1

Let AB be the

centre A with rad . X draw O FCD . From centre B with rad . X draw OGCE cutting

the former o in C. Join CA , CB . Then CAB is the A , for by constr , and def . 11

each ...

Let AB be the

**given**line , x the line to which the sides are to be equal . Fromcentre A with rad . X draw O FCD . From centre B with rad . X draw OGCE cutting

the former o in C. Join CA , CB . Then CAB is the A , for by constr , and def . 11

each ...

Page 6

Let P be the

on the same side of PC to meet AB in D and E. Also let PD be nearer to PC than

Pe . Then PD > PC [ 1. 19 ] . Again 2 PEC is acute , and _ PDE is obtuse ; .

Let P be the

**given**pt . , AB the**given**st . line . Draw PC perp . to AB , and PD , PEon the same side of PC to meet AB in D and E. Also let PD be nearer to PC than

Pe . Then PD > PC [ 1. 19 ] . Again 2 PEC is acute , and _ PDE is obtuse ; .

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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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