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

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Page 3

A circle is a plane figure contained by one line , which is called the circumference , and is such that all straight lines

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 to the circumference , are equal to one another . XVI . Page 6

I. Let it be granted , that a straight line may be

I. Let it be granted , that a straight line may be

**drawn**from any one point to any other point . II . That a terminated straight line may be produced to any length in a straight line . IJI . And that a circle may be described from any ... Page 9

Wherefore from the given point A a straight line AL has been

Wherefore from the given point A a straight line AL has been

**drawn**equal to the given straight line BC . Which was to be done . * 3 Ax , PROP . III . PROB . G * 2.1 . From the greater of two given straight lines to cut off a part equal ... Page 16

To

To

**draw**a straight line at right angles to a given straight line , from a given point in the same . ... The straight line FC**drawn**from the given point C shall be at right F angles to the given straight line AB . + Const . Page 17

Wherefore , from the given point C , in the given straight line AB , FC has been

Wherefore , from the given point C , in the given straight line AB , FC has been

**drawn**at right angles to AB . Which was to be done . Cor . - By help of this problem , it may be demonstrated , that two straight lines cannot have a ...### 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