## 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 vi

Other cases the student may easily , if he chooses , investigate for himself ; the

modifications which he will most frequently have to make will be the use of

subtraction instead of addition of lines or

instead of ...

Other cases the student may easily , if he chooses , investigate for himself ; the

modifications which he will most frequently have to make will be the use of

subtraction instead of addition of lines or

**angles**, and the application of III . 22instead of ...

Page vii

For Ex . 38 read , “ Given the base and vertical

the base and vertical

For Ex . 38 read , “ Given the base and vertical

**angle**of a triangle , shew that one**angle**and one side of the pedal triangle are constant . " For Ex . 39 read , “ Giventhe base and vertical

**angle**of a triangle , find the locus of the centre of the circle ... Page 1

A , in which case the constr . fails , ( 3 ) above the pt . A , in which case the constr .

fails because the line AF does hot fall within the given

EAF are equal in all respects ( 1. 8 , Cor . ] . H. K. E. 1 91 Page 24 . 1 . With fig . of

...

A , in which case the constr . fails , ( 3 ) above the pt . A , in which case the constr .

fails because the line AF does hot fall within the given

**angle**. 2. The A $ DAF ,EAF are equal in all respects ( 1. 8 , Cor . ] . H. K. E. 1 91 Page 24 . 1 . With fig . of

...

Page 2

Similarly for the other pair of

.. XAY : L XBY . Join XY , then it easily follows that A XAY = AXBY in all respects .

6 . ABCD is a rhombus and BD a diagonal . Then A * ABD , CBD are equal in ...

Similarly for the other pair of

**angles**. 5. Here L YAB - = _ YBA ; and _ XAB LXBA ;.. XAY : L XBY . Join XY , then it easily follows that A XAY = AXBY in all respects .

6 . ABCD is a rhombus and BD a diagonal . Then A * ABD , CBD are equal in ...

Page 3

In AABC let BC be produced both ways to X and Y. Then _ s ABC , ACB are

supplementary to equal

XOB , YOB together make up half the _ * AOB , BOC ; that is , half of 2 rt . _ s . 3.

In AABC let BC be produced both ways to X and Y. Then _ s ABC , ACB are

supplementary to equal

**angles**, and are therefore equal . 2. In the fig . the _ *XOB , YOB together make up half the _ * AOB , BOC ; that is , half of 2 rt . _ s . 3.

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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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