## The Elements of Euclid |

### From inside the book

Results 1-5 of 78

Page 17

Wherefore the whole triangle ABC shall coincide with the whole triangle DEF , and be equal to it ; and the other angles of the one shall coincide with the

Wherefore the whole triangle ABC shall coincide with the whole triangle DEF , and be equal to it ; and the other angles of the one shall coincide with the

**remaining**angles of the other , and be equal to them , viz . the angle ABC to the ... Page 18

1 . therefore the base FC is equal to the base GB , and the triangle AFC to the triangle AGB ; and the

1 . therefore the base FC is equal to the base GB , and the triangle AFC to the triangle AGB ; and the

**remaining**angles of the one pie jare equal to the**remaining**an- ja B C gles of the other , each to each , to which the equal sides ... Page 25

... ABD are likewise together equal to two right angles ; therefore the angles CBA , ABE are equal to the angles CĎA , ABD : take away the con mon angle ABC , the

... ABD are likewise together equal to two right angles ; therefore the angles CBA , ABE are equal to the angles CĎA , ABD : take away the con mon angle ABC , the

**remaining**angle ABE is equal to the**remaining**angle b 3. Page 26

... because they are oppo . site vertical angles ; therefore the base AB is equal e to the G base CF , and the triangle AEB to the triangle CEF , and the

... because they are oppo . site vertical angles ; therefore the base AB is equal e to the G base CF , and the triangle AEB to the triangle CEF , and the

**remaining**angles to the**remaining**angles , each to each , to which the equal sides ... Page 35

BGH ; therefore the

BGH ; therefore the

**remaining**angle AGH is equal to the**remaining**angle GHD ; and they are alternate angles ; therefore AB is parallel to CD . Wherefore , if a straight line , & c . Q. E : D . AL PROP . XXIX . TIIEOR .### What people are saying - Write a review

We haven't found any reviews in the usual places.

### 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