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

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Page 40

Every right - angled parallelogram , or

Every right - angled parallelogram , or

**rectangle**, is said to be contained by any two of the straight lines which contain one of the right angles . II . 6 In every parallelogram , any of the parallelograms about a diameter , together ... Page 41

1 . contained by the straight lines A , BC shall be equal to the

1 . contained by the straight lines A , BC shall be equal to the

**rectangle**contained by A , BD , together with that contained by A , DE , and that contained by A , EC . KLH From the point B draw * BF at right angles to BC , and make BG ... Page 42

1 . с B If a straight line be divided into any two parts , the

1 . с B If a straight line be divided into any two parts , the

**rectangle**contained by the whole and one of the parts , is equal to the**rectangle**contained by the two parts , together with the square of the aforesaid part . Page 44

2. equal * to DB ; and DF together & 30 Def . with CH is the gnomon CMG ; therefore the gnomon CMG is equal + to the

2. equal * to DB ; and DF together & 30 Def . with CH is the gnomon CMG ; therefore the gnomon CMG is equal + to the

**rectangle*** Cor . 4. 2. AD , DB : to each of these add LG , which is equal * to and 34. Page 45

1 1 is equal + to the gnomon CMG : but AM is the rect- + 2 Ax . angle contained by AD , DB , for DM is equal * to DB : * Cor.4.2 . therefore the gnomon CMG is equal + to the

1 1 is equal + to the gnomon CMG : but AM is the rect- + 2 Ax . angle contained by AD , DB , for DM is equal * to DB : * Cor.4.2 . therefore the gnomon CMG is equal + to the

**rectangle**& 30 Def . AD , DB : add to each of these LG , which ...### 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