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

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Page vi

In like manner , in the Demonstration of the 26th Prop . of the 11th Book , it is

In like manner , in the Demonstration of the 26th Prop . of the 11th Book , it is

**taken**for granted that those solid angles are equal to one another which are contained by plane angles of the same number and magnitude , placed in the ... Page 1

VI . The extremities of a superficies are lines . VII . A plane superficies is that in which any two points be- See N. ing

VI . The extremities of a superficies are lines . VII . A plane superficies is that in which any two points be- See N. ing

**taken**, the straight line between them lies wholly in that superficies . B See N. VIII . 66 A plane angle is the. Page 5

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 6

“ If a straight line meet two , straight lines , so as to 66 make the two interior angles on the same side of " it

“ If a straight line meet two , straight lines , so as to 66 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 ... Page 56

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 in the circumference ; the straight line drawn from A to B ...### 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

added altitude angle ABC angle BAC base Book centre circle circle ABCD circumference common cone contained cylinder definition demonstrated described diameter difference divided double draw drawn equal equal angles equiangular equimultiples Euclid excess figure fore four fourth given angle given in position given in species given magnitude given ratio given straight line greater Greek half join less likewise logarithm magnitude manner meet multiple opposite parallel parallelogram pass perpendicular plane prism produced PROP proportionals proposition proved pyramid radius reason rectangle rectilineal figure remaining right angles segment shewn sides similar sine solid sphere square square of AC taken THEOR third triangle ABC wherefore whole