## 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 62

Side vi

... or departing in any thing from the rigour of geometrical demonstration . By this means , the steps of the reasoning which were before far separated , are brought near to one another , and the force of the

... or departing in any thing from the rigour of geometrical demonstration . 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 ... Side x

... to the accuracy of demonstration , Euclrd has thought it proper , as much as possible , to observe . i The rule referred to , is one which influences the arrangement of his propositions through the

... to the accuracy of demonstration , Euclrd has thought it proper , as much as possible , to observe . i The rule referred to , is one which influences the arrangement of his propositions through the

**whole**of the Elements , viz . Side 21

If equals be added to unequals , the

If equals be added to unequals , the

**wholes**are unequal V If equals be taken from unequals , the remainders are unequal . VI . Things which are doubles of the same thing , are equal to one ... The**whole**is greater than its part . Side 24

Therefore also the

Therefore also the

**whole**triangle ABC shall coincide with the**whole**triangle DEF , so that the spaces which they contain or their areas are equal : and the remaining angles of the one shall coincide with the remaining angles of the ... Side 25

Now , since it has been demonstrated , that the

Now , since it has been demonstrated , that the

**whole**angle ABG is equal to the**whole**ACF , and the part CBG , to the part BCF the remaining angle ABC is therefore equal to the remaining angle ACB , which are the angles at the base of ...### 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