## 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 63

Side vii

... that no definition, except that of Eucuo, has ever been

properties of proportionals can be deduced by reasonings, ... Such are those

made on the definitions in the first Book, and particularly on that of a

... that no definition, except that of Eucuo, has ever been

**given**, from which theproperties of proportionals can be deduced by reasonings, ... Such are those

made on the definitions in the first Book, and particularly on that of a

**straight line**. Side

... except that of Euclid , has ever been

proportionals can be deduced by reasonings , which , at the same ... Such are

those made on the definitions in the first Book , and particularly on that of a

... except that of Euclid , has ever been

**given**, from which the properties ofproportionals can be deduced by reasonings , which , at the same ... Such are

those made on the definitions in the first Book , and particularly on that of a

**straight line**. Side 18

If AB , AC , AD , & c . be lines drawn from the

be less than AC , and AC less than AD , and so on . For , the angle ABC being a

right ...

If AB , AC , AD , & c . be lines drawn from the

**given**point A , to the indefinite**straight line**DE , of which AB is perpendicular ; then shall the perpendicular ABbe less than AC , and AC less than AD , and so on . For , the angle ABC being a

right ...

Side 21

If a

on the same side , less than two right angles , those two lines will ... Through a

If a

**straight line**, cutting two other lines , make the sum of the two interior angleson the same side , less than two right angles , those two lines will ... Through a

**given**point G , no more than one line can be drawn parallel to a**given**line CD . Side 23

Through the point C draw CE A parallel to the

is parallel to E CE , and AC meets them ... Two angles of a triangle being

or merely their sum , the third will be found by subtracting that sum from two right

...

Through the point C draw CE A parallel to the

**straight line**AB ; and because ABis parallel to E CE , and AC meets them ... Two angles of a triangle being

**given**,or merely their sum , the third will be found by subtracting that sum from two right

...

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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