## 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 |

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Resultat 1-5 av 64

Side

Several Theorems , Lemmas , Corollaries , and Scholiums , are interspersed

throughout the

Problems , especially in Surveying , are also added to the Sixth Book ; so that this

...

Several Theorems , Lemmas , Corollaries , and Scholiums , are interspersed

throughout the

**whole**work , not contained in any previous edition . A few usefulProblems , especially in Surveying , are also added to the Sixth Book ; so that this

...

Side vii

By this means, the steps of the reasoning which were before far separated, are

brought near to one another, and the force of the

perceived, that I am persuaded no more difliculty will be found in understanding ...

By this means, the steps of the reasoning which were before far separated, are

brought near to one another, and the force of the

**whole**is so clearly and directlyperceived, that I am persuaded no more difliculty will be found in understanding ...

Side

By this means ; the steps of the reasoning which were before far separated , are

brought near to one another , and the force of the

perceived , that I am persuaded no more difficulty will be found in understanding

...

By this means ; the steps of the reasoning which were before far separated , are

brought near to one another , and the force of the

**whole**is so clearly and directlyperceived , that I am persuaded no more difficulty will be found in understanding

...

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

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 , the**whole**... Side 8

The

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 ...

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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