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

### From inside the book

Results 6-10 of 85

Page 13

With centre D and radius DC describe a

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

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 radius equal to given length describe a

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

...

Page 23

L. From centre B , with radius equal to K , describe a

produced in the points C , c ' . From C and c ' draw perps . CD , c'D ' to AB ; and

join CB , C'B . Then either of the As CDB , C'D'B will satisfy the given conditions .

L. From centre B , with radius equal to K , describe a

**circle**cutting AE or AEproduced in the points C , c ' . From C and c ' draw perps . CD , c'D ' to AB ; and

join CB , C'B . Then either of the As CDB , C'D'B will satisfy the given conditions .

Page 24

Make the LABD equal to half the LX ; draw BE perp . to BD , and from centre A

and with radius equal to k describe a

equal to LAEB . Then ACB is the required A. [ Ex . 7 , p . 101. ] Since , if AE meets

BD at ...

Make the LABD equal to half the LX ; draw BE perp . to BD , and from centre A

and with radius equal to k describe a

**circle**cutting BE in E. At B make ZEBCequal to LAEB . Then ACB is the required A. [ Ex . 7 , p . 101. ] Since , if AE meets

BD at ...

Page 27

Bisect BC in D , and draw AE par ?. to BC . With centre B and radius equal to half

the sum of sides BA , AC , describe a

par !. to be meeting AE THEOREMS AND EXAMPLES ON BOOK I. PAGE 112. 27

.

Bisect BC in D , and draw AE par ?. to BC . With centre B and radius equal to half

the sum of sides BA , AC , describe a

**circle**cutting AE in E ; through D draw DFpar !. to be meeting AE THEOREMS AND EXAMPLES ON BOOK I. PAGE 112. 27

.

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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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