## The Elements of Euclid |

### From inside the book

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Page v

Peter Ramus * ascribes the propositions , as well as

Peter Ramus * ascribes the propositions , as well as

**their**demonstrations , to Theon ; others think the propositions to be Euclid's , but that the demonstrations are Theon's ; and others maintain that all the propositions and**their**... Page 16

IF two triangles have two sides of the one equal to two sides of the other , each to each ; and have likc . wise the angles contained by those sides equal to one another ; they shall likewise bave

IF two triangles have two sides of the one equal to two sides of the other , each to each ; and have likc . wise the angles contained by those sides equal to one another ; they shall likewise bave

**their**bases , or third sides , equal ... Page 17

Therefore , if two triangles have two sides of the one equal to two sides of the other , each to each , and have likewise the angles contained by those sides equal to one another ,

Therefore , if two triangles have two sides of the one equal to two sides of the other , each to each , and have likewise the angles contained by those sides equal to one another ,

**their**bases shall likewise be equal , and the triangles ... Page 19

B с Wherefore , if two angles , & c , Q. E. D. Cox , Hence every equiangular triangle is also equilateral PROP . VII . THEOR . UPON the same base , and on the same side of it , there cannot be two triangles that have

B с Wherefore , if two angles , & c , Q. E. D. Cox , Hence every equiangular triangle is also equilateral PROP . VII . THEOR . UPON the same base , and on the same side of it , there cannot be two triangles that have

**their**sides which ... Page 20

Therefore upon the same base , and on the same side of it , there cannot be two triangles that have

Therefore upon the same base , and on the same side of it , there cannot be two triangles that have

**their**sides which are terminated in one extreinity of the base equal to one another , and likewise those which are terminated in 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