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

### From inside the book

Page 5

Hence

Hence

**twice**the sum of OA , OB , OC > the sum of AB , BC , CA. 10 , Let ABCD be the quadril .; BD , AC its diags .; then AB + BC > AC ; AD + DC > AC . Page 8

Then

Then

**twice**the sum of _ S DOC , ODC , OCD = 4 rt . L $ -- the of the four angles of the quadril . Page 9

And the sum of all the _s of these As =

And the sum of all the _s of these As =

**twice**as many rt . as the fig . has sides . . : . the at the vertices together with 8 rt . _ $ =**twice**as many rt . Page 13

DB = BE , and ADBE =

DB = BE , and ADBE =

**twice**A DCB = given square . 3 . AS AXB , BYC are each of them half of given parm . 4. Through p draw XY par ! to AB or DC . Page 14

Then DB = sum of sqq . on DC , BC =

Then DB = sum of sqq . on DC , BC =

**twice**the sq . on DC . 5 . AX bisects BC ( I. 26 ] ; .. sq . on BC = 4 times sq . on BX .### What people are saying - Write a review

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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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