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

### From inside the book

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Page 218

A dodecahedron is a

A dodecahedron is a

**solid**figure contained by twelve equal pentagons which are equilateral and equiangular . XXIX . An icosahedron is a**solid**figure contained by twenty equal and equilateral triangles . Def . A. A**parallelopiped**is a ... Page 248

If a

If a

**solid parallelopiped**be cut by a plane parallel to two of its opposite planes ; it divides the whole into two solids , the base of one of which shall be to the base of the other , as the one solid is to the other . Page 251

Therefore , because the three plane angles BAL , BAH , HAL , which contain the solid angle at A , are equal to the three ... To describe from a given straight line u

Therefore , because the three plane angles BAL , BAH , HAL , which contain the solid angle at A , are equal to the three ... To describe from a given straight line u

**solid parallelopiped**similar and similarly situated to one given . Page 252

the given

the given

**solid parallelopiped**. It is required from AB to describe a**solid parallelopiped**similar and similarly situated to CD . At the point A of the given straight line AB * 26. 11. make * a solid angle equal to the solid angle at C ... Page 253

If a

If a

**solid parallelopiped**be cut by a plane passing through the diagonals of two of the opposite planes ; it shall be cut into two equal parts . Let AB be a**solid parallelopiped**, and DE , CF the diagonals of the opposite parallelograms ...### 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

altitude angle ABC angle BAC base base BC BC is equal centre circle ABCD circumference common cone Const contained cylinder demonstrated described diameter divided double draw drawn equal angles equiangular equilateral equimultiples extremities fall figure fore four fourth given given straight line greater half inscribed join less Let ABC likewise magnitudes manner meet multiple opposite parallel parallelogram pass perpendicular plane polygon prism PROB produced PROP proportionals proved pyramid ratio reason rectangle contained rectilineal figure remaining angle right angles segment shown sides similar solid solid angle solid parallelopiped sphere square taken THEOR third touches triangle ABC vertex wherefore whole