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

### From inside the book

Results 1-5 of 77

Page 2

Bisect the

isosc . A as in Ex . 1 , page 13 . Page 25 . 3. Take a pt . X on CF , or CF produced

. Then DC = CE , CX is common , and < DCX = _ ECX , being rt . _ $ . ... DX = EX .

Bisect the

**given st**. line , and with the half line for the equal sides describe anisosc . A as in Ex . 1 , page 13 . Page 25 . 3. Take a pt . X on CF , or CF produced

. Then DC = CE , CX is common , and < DCX = _ ECX , being rt . _ $ . ... DX = EX .

Page 5

Let FG be the given base . Then with centres F and G draw OS with radii equal to

the two

, then FK > FH , and the circle with centre F would fall outside the other circle ...

Let FG be the given base . Then with centres F and G draw OS with radii equal to

the two

**given st**. let these meet at K. Then KFG is the required A. If FK > FG + GK, then FK > FH , and the circle with centre F would fall outside the other circle ...

Page 6

Let P be the given pt . , AB 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 ; .

Page 7

Let o be the given pt . through which the line is to be drawn , A , B the other given

pts . Join AB and bisect it in ... Let o be the given pt . , AB the

make · ABX equal to given L. From o draw a line par . to BX . 4. Let AD be drawn

...

Let o be the given pt . through which the line is to be drawn , A , B the other given

pts . Join AB and bisect it in ... Let o be the given pt . , AB the

**given st**. line ; at Bmake · ABX equal to given L. From o draw a line par . to BX . 4. Let AD be drawn

...

Page 12

Take away AKD from each and the remainders are equal . ( 2 ) AEAB A ABC =

ABCD = ACDF . .. AS EAB , AKB together = A $ CDF , DKC . 2. See solution to Ex

. 3 on p . 65 . 3. Let AB be the base of

Take away AKD from each and the remainders are equal . ( 2 ) AEAB A ABC =

ABCD = ACDF . .. AS EAB , AKB together = A $ CDF , DKC . 2. See solution to Ex

. 3 on p . 65 . 3. Let AB be the base of

**given**A ABC , and let PQ be the**st**. line in ...### What people are saying - Write a review

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### Other editions - View all

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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