## Elements of Geometry: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle, and the Geometry of Solids; to which are Added, Elements of Plane and Spherical Trigonometry |

### Inni boken

Resultat 1-5 av 100

Side 1

4. An Axiom , or Maxim , is a self - evident proposition , requiring no formal

demonstration to prove the truth of it ; but is received and assented to as soon as

mentioned . Such as , the whole of any thing is

whole ...

4. An Axiom , or Maxim , is a self - evident proposition , requiring no formal

demonstration to prove the truth of it ; but is received and assented to as soon as

mentioned . Such as , the whole of any thing is

**greater**than a part of it ; or , thewhole ...

Side 5

An obtuse angle is that which is

that which is less than a right angle . 10. A figure is that which is enclosed by one

or more boundaries . The word area denotes the quantity of space contained in a

...

An obtuse angle is that which is

**greater**than a right angle . 9. An acute angle isthat which is less than a right angle . 10. A figure is that which is enclosed by one

or more boundaries . The word area denotes the quantity of space contained in a

...

Side 8

The whole is

its parts . 11. All right angles are equal to one another . 12. “ Two straight lines

which intersect one another , cannot be both pa“ rallel to the same straight line ...

The whole is

**greater**than any of its parts . 10. The whole is equal to the sum of allits parts . 11. All right angles are equal to one another . 12. “ Two straight lines

which intersect one another , cannot be both pa“ rallel to the same straight line ...

Side 11

A For , if AB be not equal to AC , one of them is

the

because in the triangles DBC , D ACB , DB is equal to AC , and BC common to ...

A For , if AB be not equal to AC , one of them is

**greater**than the other : Let AB bethe

**greater**, and from it cut off DB equal to AC the less , and join DC ; therefore ,because in the triangles DBC , D ACB , DB is equal to AC , and BC common to ...

Side 13

Ax . ) to the remaining angle ABD , the less to the

therefore BE is not in the same straight line with BC . And in like manner , it may

be demonstrated , that no other can be in the same straight line with it but BD ...

Ax . ) to the remaining angle ABD , the less to the

**greater**, which is impossible ;therefore BE is not in the same straight line with BC . And in like manner , it may

be demonstrated , that no other can be in the same straight line with it but BD ...

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Elements of Geometry: Containing the First Six Books of Euclid with a ... John Playfair Uten tilgangsbegrensning - 1855 |

Elements of Geometry: Containing the First Six Books of Euclid, with a ... Euclid,John Playfair Uten tilgangsbegrensning - 1853 |

Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Uten tilgangsbegrensning - 1847 |

### Vanlige uttrykk og setninger

ABCD altitude angle ABC angle BAC base bisected Book called centre chord circle circumference coincide common consequently construction cosine cylinder definition demonstrated described diameter difference distance divided double draw drawn equal equal angles equiangular equilateral Euclid exterior angle extremities fall fore four fourth given given straight line greater half Hence inscribed interior join less Let ABC magnitudes manner meet multiple opposite parallel parallelogram pass perpendicular plane polygon prism Prob produced PROP proportional proposition proved radius ratio reason rectangle contained rectilineal figure remaining right angles segment shewn sides similar sine solid square straight line taken tangent THEOR third touch triangle ABC wherefore whole