## 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

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Side vi

... to remedy this inconvenience , I have endeavoured to introduce it here , in a very simple form however , and without changing the nature of the reasoning , or departing in any thing from the rigour of geometrical

... to remedy this inconvenience , I have endeavoured to introduce it here , in a very simple form however , and without changing the nature of the reasoning , or departing in any thing from the rigour of geometrical

**demonstration**. Side vii

A new axiom is also introduced in the room of the 12th , for the purpose 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 third Book , the remarks concerning the angles made ... Side ix

The

The

**demonstration**of the fourth proposition is from LEGENDRE's Elements of Geometry ; that of the sixth is new , as far as I know ; as is also the solution of the problem in the nineteenth proposition , -- a problem which , though in ... Side x

That in the

That in the

**demonstration**of a theorem , he never supposes any thing to be done , as any line to be drawn , or any figure to be constructed , the manner of doing which he has not previously explained . Now , the only use of this rule is ... Side xiii

The method of constructing the Trigonometrical Tables is explained , and a

The method of constructing the Trigonometrical Tables is explained , and a

**demonstration**is added of those properties of the sines and cosines of arches , which are the soundation of those applications of Trigonometry lately introduced ...### 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 - 1836 |

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 - 1855 |

### Vanlige uttrykk og setninger

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