## 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 23

Side 55

5. And the straight line on which the greater pe pendicular falls , is said to be

farther from the centre . 6. Any portion of the circumference is called an arc . The

5. And the straight line on which the greater pe pendicular falls , is said to be

farther from the centre . 6. Any portion of the circumference is called an arc . The

**chord**or subtense of an arc is the straight line which joins its two extremities . 7. Side 56

The angles at the circumference and centre , are both said to be subtended by

the

figure contained by two straight lines drawn from the centre , and the arc of the ...

The angles at the circumference and centre , are both said to be subtended by

the

**chords**or arcs which their sides include . 11. The sector of a circle is thefigure contained by two straight lines drawn from the centre , and the arc of the ...

Side 57

The arc of a circle whose

included segment is a semi - circle . PROP . II . THEOR . If any two points be

taken in the circumference of a circle , the straight line which joins them shall fall

...

The arc of a circle whose

**chord**is a diameter , is a semi - circumference , and theincluded segment is a semi - circle . PROP . II . THEOR . If any two points be

taken in the circumference of a circle , the straight line which joins them shall fall

...

Side 58

Hence , the perpendicular through the middle of a

centre ; for this perpendicular is the same as the one let fall from the centre on the

same

Hence , the perpendicular through the middle of a

**chord**, passes through thecentre ; for this perpendicular is the same as the one let fall from the centre on the

same

**chord**, since both of them passes through the middle of the**chord**. Cor . 2. Side 62

A It is obvious , that besides this , no other circumference can pass through the

same points ; for the centre , lying in the perpendicular DF bisecting the

, and at the same time in the perpendicular EF bisecting the

A It is obvious , that besides this , no other circumference can pass through the

same points ; for the centre , lying in the perpendicular DF bisecting the

**chord**AB, and at the same time in the perpendicular EF bisecting the

**chord**BC ( Cor . 1.### Hva folk mener - Skriv en omtale

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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