## The Elements of Euclid |

### From inside the book

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Page 22

... CD are equal to BC , CD , each to each ; and the angle AGD is equal to the angle BCD ; therefore the base AD is equal to the base 6 DB , and the straight line AB is

... CD are equal to BC , CD , each to each ; and the angle AGD is equal to the angle BCD ; therefore the base AD is equal to the base 6 DB , and the straight line AB is

**divided**into two equal parts in the point D. Which was to be done . Page 37

For any rectilineal figure ABCDE can be

For any rectilineal figure ABCDE can be

**divided**into as many triangles as the figure has sides , by drawing straight lines from a point F within the figure to each of its А B angles . And , by the preceding 1 Book I. proposition ... Page 51

If there be two straight lines , one of which is

If there be two straight lines , one of which is

**divided**into any number of parts ; the rectangle contained by the two straight lines , is equal to the rectangles contained by the undivided line , and the several parts of the**divided**... Page 52

Let A and BC be two straight lines , and let BC be

Let A and BC be two straight lines , and let BC be

**divided**pinto any parts in the points D , E , the rectangle contained by the straight lines A , BC is equal B D E C to the rectangle contained by A , BD , together with that contained ... Page 53

1 IF a straight line be

1 IF a straight line be

**divided**into any two parts , the rectangle contained by the whole and one of the parts , is equal to the rectangle contained by the two parts , together with the square of the foresaid part .### 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