## Elements of Geometry: Containing the First Six Books of Euclid: With a Supplement ... to which are Added, Elements of Plane and Sphericale Trigonometry ... From the Last London Ed., Enl |

### From inside the book

Results 1-5 of 10

Page 195

...

...

**solid**figure contained by plane figures , of which two thas are opposite are equal , similar , and**parallel**to one another ; and the others are parallelograms . 5. A**parallelopiped**is a**solid**figure contained by six quadrilateral ... Page 197

...

...

**solid**KQ coincide with the other planes of the**solid**AG , each with each : wherefore the**solids**KQ and AG do wholly ...**parallelopiped**be cut by a plane**parallel**to two of its opposite planes , it will be divided into two**solids**... Page 198

... solid LP , are equal and similar to three planes of the solid KR , as also to three planes of the solid AV but the three planes opposite to these three are equal and similar to ...

... solid LP , are equal and similar to three planes of the solid KR , as also to three planes of the solid AV but the three planes opposite to these three are equal and similar to ...

**solid parallelopiped**98 SUPPLEMENT TO THE ELEMENTS. Page 199

...

...

**solid parallelopiped**be cut by a plane passing through the diagonals o , two of the opposite planes , it will be cut into two equal prisms . Let AB be a**solid parallelopiped**, and DE , CF the diagonals of the op- posite parallelograms ... Page 200

...

...

**solid**, of which the base is the parallelogram AB , and FDKN the plane opposite to the base ; and if from this same**solid**there be taken the prism AGD , the remaining**solid**, viz . the**parallelopiped**AH is equal to the remaining : ...### Other editions - View all

### Common terms and phrases

ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated described diameter divided draw equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given rectilineal given straight line greater Hence hypotenuse inscribed join less Let ABC Let the straight magnitudes meet multiple opposite angle parallel parallelogram parallelopiped perpendicular polygon prism PROB PROP proportional proposition quadrilateral radius ratio rectangle contained rectilineal figure remaining angle right angled triangle SCHOLIUM segment semicircle shewn side BC sine solid angle solid parallelopiped spherical angle spherical triangle square straight line BC THEOR touches the circle triangle ABC triangle DEF wherefore