## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |

### From inside the book

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Page ix

They are

They are

**divided**into three parts , viz , the Contemplation of Superficies , Numbers , and Solids : the first four Books treat of planes only ; the fifth of the proportions of magnitudes in general ; the 6th of the proportion of plane ... Page 13

... CD , each to each ; and the angle ACD is equal † to the angle BCD ; therefore the + Constr . base AD is equal to the base * DB , and the straight line AB is

... CD , each to each ; and the angle ACD is equal † to the angle BCD ; therefore the + Constr . base AD is equal to the base * DB , and the straight line AB is

**divided**into two equal parts in the point D. Which was to be done . Page 28

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 angles . And , by the preceding proposition , all the angles ... Page 40

If there be two straight lines , one of rohich is

If there be two straight lines , one of rohich 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 41

If a straight line be

If a straight line be

**divided**into any two parts , the rectangles contained by the whole and each of the parts , are together equal to the square of the whole line . Let the straight line AB be**divided**into any two parts in the point C ...### What people are saying - Write a review

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The Elements of Euclid: Viz. The First Six Books, Together With the Eleventh ... Euclid Euclid No preview available - 2018 |

### Common terms and phrases

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