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

### From inside the book

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Page 3

A

A

**figure**is that which is inclosed by one or more boundaries . XV . A circle is a plane**figure**contained by one line , which is called the circumference , and is such that all straight lines drawn from a certain point within the**figure**... Page 4

Rectilineal

Rectilineal

**figures**are those which are contained by straight lines . XXI . Trilateral**figures**, or triangles , by three straight lines . XXII . Quadrilateral , by four straight lines . XXIII . Multilateral**figures**, or polygons ... Page 5

Of four - sided

Of four - sided

**figures**, a square is that which has all its sides equal , and all its angles right anglese XXXI . An oblong is that which has all its angles right angles , but has not all its sides equal . XXXII . Page 34

For any rectilineal

For any rectilineal

**figure**ABCDE , can be divided into as many triangles as the**figure**has sides , by drawing straight lines from a point F within the**figure**to each of its angles . And , by the preceding proposition , all the angles of ... Page 35

L Because every interior angle ABC , with its adjacent exterior ABD , is equal * to two right angles ; therefore all the interior , together with all the exterior angles of the

L Because every interior angle ABC , with its adjacent exterior ABD , is equal * to two right angles ; therefore all the interior , together with all the exterior angles of the

**figure**, are equal to twice as many right D B angles as ...### 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