## The Elements of Euclid |

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Page 16

Which was to be done . sh E NO th 11 Y a A 1 В 2 с # 2 21

Which was to be done . sh E NO th 11 Y a A 1 В 2 с # 2 21

**PROP**. III . PROB . t + FROM the greater of two given straight lines to cut off a part equal to the less . Let AB and C be the two given straight lines , whereof AB is the ... Page 26

Book 1

Book 1

**PROP**. XVI . THEOR . IF one side of a triangle be produced , the exterior angle is greater than either of the interior opposite angles . a 10. 1 . Y D b 15. 1 . Let ABC be a triangle , and let its side BC be produced to D ... Page 30

112

112

**PROP**. XXIII . PROB . 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 ... Page 72

Q. E. D. 3 E

Q. E. D. 3 E

**PROP**. VI . THEOR . IF two cireles touch one another internally , they shall not have the same centre . Let the two circles ABC , CDE touch one another internally in the point C : they have not the same centre . Page 92

**PROP**. XXX . PROB . TO bisect a given circumference , that is , to divide it into two equal parts . 1 Let ADB be the given circumference , it is required to bisect it . a 10.1 . Join AB , and bisect , it in C ; from the point C draw CD ...### 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