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

### From inside the book

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Page 1

A plane superficies is that in which any two points being

A plane superficies is that in which any two points being

**taken**, the straight line between them lies wholly in that superficies . VIII . “ A plane angle is the inclination of two lines to 66 one another in a plane , which meet together ... Page 6

If equals be

If equals be

**taken**from equals , the remainders are equal . IV . If equals be added to unequals , the wholes are unequal . V. If equals be**taken**from unequals , the remainders are unequal . VI . Things which are double of the same ... Page 7

If a straight line meets two straight lines , so as to make the two interior angles on the same side of it

If a straight line meets two straight lines , so as to make the two interior angles on the same side of it

**taken**together less than two right angles , these straight lines being continually produced , shall at length meet upon that side ... Page 70

If any two points be

If any two points be

**taken**in the circumference of a circle , the straight line which joins them shall fall within the circle . Let ABC be a circle , and A , B any two points B in the circumference ; the straight line drawn from A to B ... Page 74

THEOR , If any point be

THEOR , If any point be

**taken**in the diameter of a circle which is not the centre , of all the straight lines which can be drawn from it to the circumference , the greatest is that in which the centre is , and the other part of that ...### 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