## 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 99

Side vii

A new axiom is also introduced in the room of the 12th, for the purpose of

demonstrating more easily some of the properties of

Book, the remarks concerning the angles made by a straight line, and the

circumference of ...

A new axiom is also introduced in the room of the 12th, for the purpose of

demonstrating more easily some of the properties of

**parallel**lines. In the thirdBook, the remarks concerning the angles made by a straight line, and the

circumference of ...

Side

A new axiom is also introduced in the room of the 12th , for the purpose of

demonstrating more easily some of the properties of

Book , the remarks concerning the angles made by a straight line , and the

circumference ...

A new axiom is also introduced in the room of the 12th , for the purpose of

demonstrating more easily some of the properties of

**parallel**lines . In the thirdBook , the remarks concerning the angles made by a straight line , and the

circumference ...

Side 2

... simple principles , and pursuing the consequences flowing from them till we

arrive at the conclusion . This is also called the Method of Composition ; and is

that which is commonly used in Geometry . 18. The sign = ( or two

is ...

... simple principles , and pursuing the consequences flowing from them till we

arrive at the conclusion . This is also called the Method of Composition ; and is

that which is commonly used in Geometry . 18. The sign = ( or two

**parallel**lines ) ,is ...

Side 5

... centre , and terminated both ways by the circumference . 14. A semicircle is the

figure contained by a diameter and the part of the circumference cut off by the

diameter . 15. Two lines are said to be

5.

... centre , and terminated both ways by the circumference . 14. A semicircle is the

figure contained by a diameter and the part of the circumference cut off by the

diameter . 15. Two lines are said to be

**parallel**, when OF GEOMETRY . BOOK I.5.

Side 6

Two lines are said to be

cannot meet , how far soever , either way , both of them be produced . 16. A plane

figure , terminated on all sides by straight lines , is called a rectilineal figure , or ...

Two lines are said to be

**parallel**, when being situated in the same plane , theycannot meet , how far soever , either way , both of them be produced . 16. A plane

figure , terminated on all sides by straight lines , is called a rectilineal figure , or ...

### Hva folk mener - Skriv en omtale

Vi har ikke funnet noen omtaler på noen av de vanlige stedene.

### Andre utgaver - Vis alle

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