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

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Page 89

The opposite angles of any quadrilateral figure

The opposite angles of any quadrilateral figure

**inscribed**in a circle , are together equal to two right angles . Let ABCD be a quadrilateral figure in the circle ABCD ; any two of its opposite angles shall together be equal to two right ... Page 106

I. A RECTILINEAL figure is said to be

I. A RECTILINEAL figure is said to be

**inscribed**in another rectilineal figure , when all the angles of the**inscribed**figure are upon the sides of the figure in which it is**inscribed**, each upon each . II . In like manner a figure is ... Page 107

C V. In like manner , a Circle is said to be

C V. In like manner , a Circle is said to be

**inscribed**in a rectilineal figure , when the circumference of the circle touches each side of the figure . VI . A circle is said to be described about a rectilineal figure , when the ... Page 108

Which was to be done . 1 . PROP . II . PROB . * 17.3 . In a given circle to

Which was to be done . 1 . PROP . II . PROB . * 17.3 . In a given circle to

**inscribe**a triangle equiangular to a given triangle . Let ABC be the given circle , and DEF the given triangle ; it is required to**inscribe**in ... Page 109

1 . remaining angle EDF : wherefore the triangle ABC is equiangular to the triangle DEF , and it is

1 . remaining angle EDF : wherefore the triangle ABC is equiangular to the triangle DEF , and it is

**inscribed**in the circle ABC . Which was to be done . and 1 Ax . PROP . III . PROB . About a given circle to describe a triangle ...### 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