## 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 27

Side vii

To explain the nature of the former requires a more minute examination than is

suited to this place, and must therefore be reserved for the Notes ; but, in the

mean time, it may be remarked, that no

been ...

To explain the nature of the former requires a more minute examination than is

suited to this place, and must therefore be reserved for the Notes ; but, in the

mean time, it may be remarked, that no

**definition**, except that of Eucuo, has everbeen ...

Side

... be remarked , that no

from which the properties of proportionals can be deduced by reasonings , which

, at the same time that they are perfectly rigorous , are also simple and direct .

... be remarked , that no

**definition**, except that of Euclid , has ever been given ,from which the properties of proportionals can be deduced by reasonings , which

, at the same time that they are perfectly rigorous , are also simple and direct .

Side 1

In Geometry there are several general terms or principles ; such as ,

Propositions , Axioms , Theorems , Problems , Lemmas , Scholiums , Corollaries ,

& c . 3. A

In Geometry there are several general terms or principles ; such as ,

**Definitions**,Propositions , Axioms , Theorems , Problems , Lemmas , Scholiums , Corollaries ,

& c . 3. A

**Definition**is the explication of any term or word in a science , showing ... Side 3

... the fifteenth proposition , first book , and so on . In like manner , ( 3. Ax . )

designates the third axiom ; ( 2. Post . ) the second postulate ; ( Def . 3. ) the third

GEOMETRY .

... the fifteenth proposition , first book , and so on . In like manner , ( 3. Ax . )

designates the third axiom ; ( 2. Post . ) the second postulate ; ( Def . 3. ) the third

**definition**, and so on . 29. The word , therefore , or hence , frequently OFGEOMETRY .

Side 56

... their common base AB retaining its position , the curve line AEB must fall on

the curve line ADB ; otherB A wise there would , in the one or the other , be points

unequally distant from the centre , which is contrary to the

... their common base AB retaining its position , the curve line AEB must fall on

the curve line ADB ; otherB A wise there would , in the one or the other , be points

unequally distant from the centre , which is contrary to the

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Elements of Geometry: Containing the First Six Books of Euclid: With a ... John Playfair Uten tilgangsbegrensning - 1819 |

Elements of Geometry: Containing the First Six Books of Euclid: With a ... John Playfair Uten tilgangsbegrensning - 1854 |

Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Uten tilgangsbegrensning - 1824 |

### 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