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

### From inside the book

Results 1-5 of 37

Page 2

D V L BY 6 6 -CE N.B. “ When several angles are at one point ' B , any one of them is expressed by three let- ' ters , of which the letter that is at the

D V L BY 6 6 -CE N.B. “ When several angles are at one point ' B , any one of them is expressed by three let- ' ters , of which the letter that is at the

**vertex**of the angle , that is , at the point in which the straight lines that ... Page 13

... in the case in which the

... in the case in which the

**vertex**of each of the triangles is without the other triangle , because AC is equal t to A R + Hyp . AD , the angle ACD is equal * to the angle ADC : But the angle ACD is greater t +9 Ax . than the angle BCD ... Page 14

But if one of the

But if one of the

**vertices**, as D , be within the other triangle ACB ; produce AC , AD to E , F. + Hyp . therefore , because AC is ... The case in which the**vertex**of one triangle is upon a side of the other , needs nodemonstration . Page 34

... are sides of the figure : and the same angles are equal to the angles of the figure , together with the angles at the point F , which is the common

... are sides of the figure : and the same angles are equal to the angles of the figure , together with the angles at the point F , which is the common

**vertex**of the triangles ; * 2 Cor . that is , * together with four right angles . Page 168

The altitude of any figure is the straight line drawn from its

The altitude of any figure is the straight line drawn from its

**vertex**perpendicular to the base . > PROP . I. THEOR . Triangles and parallelograms of the same altitude are one to another as their bases .### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Other editions - View all

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