## The Elements of Euclid |

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Page 21

Therefore if two b 8. Ax . triangles , & c . Q. E. D. PROP . IX . PROB . sect it . TO bisect a

Therefore if two b 8. Ax . triangles , & c . Q. E. D. PROP . IX . PROB . sect it . TO bisect a

**given**rectilineal**angle**, that is , to divide it into two equal**angles**. Let BAC be the**given**rectilineal**angle**, it is required to bi . Page 22

51 P To draw a straight line at right

51 P To draw a straight line at right

**angles**to a**given**straight line , from a**given**point in the same . 1 21 9 " pe PO 06 1 C 2 Let AB be , a**given**straight line , and C a point**given**in it : See Note . it is required to draw ... Page 23

1 . straight line makes the adjacent

1 . straight line makes the adjacent

**angles**equal to one another , each of them is a right**angle**, and the straight line which stands upon the other is called a perpendicular to it ; therefore from the**given**point C a perpendicular CH ... Page 30

1 AT a

1 AT a

**given**point to a**given**straight line , to make a rectilineal**angle**equal to a**given**rectilineal**angle**. 1 22. 1 . Let AB be the**given**straight line , and A the**given**point in it , and DCE the**given**rectilineal**angle**; it is ... Page 36

1 . wise EGB is equal to GHD ; add to each of these the

1 . wise EGB is equal to GHD ; add to each of these the

**angle**BGH ; therefore the**angles**EGB , BGH are equal to the**angles**BGH , GHD ; but EGB ... TO draw a straight line through a**given**point parallel to a**given**straight line .### 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