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

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Page 7

... these straight lines being continually produced , shall at length meet upon that side on which are the angles “ which are less than two right angles . ” See the notes on

... these straight lines being continually produced , shall at length meet upon that side on which are the angles “ which are less than two right angles . ” See the notes on

**Prop**. xxix . of Book 1. Oct. Ed . 66 Real * :**PROP**. Page 8

**PROP**. I. PROBLEM . To describe an equilateral triangle upon a given finite straight line . Let AB be the given straight line ; it is required to describe an equilateral triangle upon AB . From the centre A , at the * 3 Pos . distance ... Page 9

3 Ax ,

3 Ax ,

**PROP**. III . PROB . G * 2.1 . From the greater of two given straight lines to cut off a part equal to the less . Let AB and C be the two given straight lines , whereof AB is ... Page 11

**PROP**. V. THEOR . The angles at the base of an isosceles triangle ure equal to one another ; and if the equal sides be produced , the angles upon the other side of the base shall be equal . Let ABC be an isosceles triangle , of which ... Page 13

**PROP**. VII . THEOR . Upon the same base , and on the same side of it , there cannot be two triangles that have their sides , which are terminated in one extremity of the base , equal to one another , and likewise those which are ...### 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