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

### From inside the book

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Page v

The Examples therefore have not in the majority of cases been worked out in

detail , and the drawing of

...

The Examples therefore have not in the majority of cases been worked out in

detail , and the drawing of

**figures**has been left to the reader . The absence of**figures**may possibly give rise to some little difficulty in Examples which admit of a...

Page vii

The letters E , E , are interchanged with F , F , in the

280. 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.

The letters E , E , are interchanged with F , F , in the

**figure**and in Ex . 1 . Page280. 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.

Page 27

Similarly a six - sided

so on . Thus any rectilineal

area . 30. Through C and D draw CE , DF par to BX and AX respectively ...

Similarly a six - sided

**figure**can be replaced by an equal**figure**of five sides , andso on . Thus any rectilineal

**figure**can ultimately be reduced to a triangle of equalarea . 30. Through C and D draw CE , DF par to BX and AX respectively ...

Page 62

Then if ON < radius of the O , N is within the O , and no st . line can be drawn

through N without cutting the closed

+ BNP = OB2 = ON ? + CNP . .. as On increases towards equality to OB or oC ,

BN ...

Then if ON < radius of the O , N is within the O , and no st . line can be drawn

through N without cutting the closed

**figure**in two pts . , B and c , say . Now ON ?+ BNP = OB2 = ON ? + CNP . .. as On increases towards equality to OB or oC ,

BN ...

Page 77

[ In the

® XPA , XBA together = two rt . angles [ 111. 22 ] , and the - ext . XBA = the LAQY

. [ Ex . 5. ] .. the _ S XPA , AQY together = two rt . angles . : . PX and QY are parl .

[ In the

**figure**taken A lies between P and Q , and B between X and Y. ] Then the _® XPA , XBA together = two rt . angles [ 111. 22 ] , and the - ext . XBA = the LAQY

. [ Ex . 5. ] .. the _ S XPA , AQY together = two rt . angles . : . PX and QY are parl .

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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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