## The Elements of Euclid |

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Page 13

And that a circle may be

And that a circle may be

**described**from any centre , at any dig . tance from that centre . AXIOMS . 1 . THINGS which are equal to the same are equal to one another . II . If equals be added to equals , the wholes are equal . III . Page 15

... is

... is

**described**upon the given straight line AB . ... c the straight lines DA , DB , to E and F ; from the centre B , at the distance BC ,**described**the circle CGH , and from the centre D , at the distance DG describe the circle GKL . Page 44

... the parallelogram FECG is equal to the triangle ABC , and it has one of its angles CEF equal to the given angle D. Wherefore there has been

... the parallelogram FECG is equal to the triangle ABC , and it has one of its angles CEF equal to the given angle D. Wherefore there has been

**described**a parallelogram € 41.1 ; FECG equal to a given triangle ABC , having one THE ELEMENTS. Page 47

... figure ABCD is equal to the whole parallelogram KFLM ; therefore the parallelogram KFLM has been

... figure ABCD is equal to the whole parallelogram KFLM ; therefore the parallelogram KFLM has been

**described**equal to the given rectilineal figure ABCD , having the angle FKM equal to the gi . ven angle E. Which was to be done . COR . Page 48

IN any right angled triangle , the square which is

IN any right angled triangle , the square which is

**described**upon the side subtending the right angle , is equal to the squares**described**upon the sides which contain the right angle . Let ABC be a right angled triangle , baving the ...### What people are saying - Write a review

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### Other editions - View all

The Elements of Euclid: The Errors, by Which Theon, Or Others, Have Long Ago ... Robert Simson,Robert Euclid No preview available - 2015 |

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... Robert Simson,Robert Euclid No preview available - 2016 |

### Common terms and phrases

added altitude angle ABC angle BAC base Book centre circle circle ABCD circumference common cone cylinder definition demonstrated described diameter divided double draw drawn equal equal angles equiangular equimultiples excess fore four fourth given angle given in position given in species given magnitude given ratio given straight line greater Greek half join less likewise magnitude manner meet multiple Note opposite parallel parallelogram pass perpendicular plane prisms produced PROP proportionals proposition pyramid radius reason rectangle rectangle contained remaining right angles segment shown sides similar sine solid solid angle sphere square square of AC taken THEOR third triangle ABC wherefore whole