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

### From inside the book

Results 1-5 of 85

Page vi

Read , “ In any triangle , if a circle is described from the middle point of one side

as centre and with a

touch the circles described on these sides as diameters . ” Page 235 , Ex . 18.

Read , “ In any triangle , if a circle is described from the middle point of one side

as centre and with a

**radius**equal to half the sum of the other two sides , it willtouch the circles described on these sides as diameters . ” Page 235 , Ex . 18.

Page xi

[ 1. 4. ] The other two cases follow in a similar manner by 1. 4 . ( iii ) from the

equal AS AND , AMB . ( iv ) from the equal AS BNC , DMC . Page 17 B. 3. In the

As OAM , OBM , OA = OB , being

AOM ...

[ 1. 4. ] The other two cases follow in a similar manner by 1. 4 . ( iii ) from the

equal AS AND , AMB . ( iv ) from the equal AS BNC , DMC . Page 17 B. 3. In the

As OAM , OBM , OA = OB , being

**radii**of a 0 , OM is common to the two As , and LAOM ...

Page 5

Then with centres F and G draw OS with

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 , and there would be no pt .

of ...

Then with centres F and G draw OS with

**radii**equal to the two given st . let thesemeet 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 , and there would be no pt .

of ...

Page 13

With centre D and

De meeting AB produced in F. Then EDCF is a rhombus and it is equal to parm .

ABCD . If DC is less than perp . from D to AB the circle will not meet AB and the ...

With centre D and

**radius**DC describe a circle cutting AB in E. Draw CF par ' . toDe meeting AB produced in F. Then EDCF is a rhombus and it is equal to parm .

ABCD . If DC is less than perp . from D to AB the circle will not meet AB and the ...

Page 20

With A as centre and

general cut cd in two pts . L , M. Then lines drawn through o par . to AL and AM

will be the required lines . 26. Let AB be the line to which the required line is to be

...

With A as centre and

**radius**equal to given length describe a circle . This will ingeneral cut cd in two pts . L , M. Then lines drawn through o par . to AL and AM

will be the required lines . 26. Let AB be the line to which the required line is to be

...

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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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