## Elements of Geometry: Containing the First Six Books of Euclid: With a Supplement on the Quadrature of the Circle and the Geometry of Solids ... |

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Side 107

The letters A , B , C , & c . are used to denote

letters m , n , p , q , are used to denote numbers only . “ 2. The sign + ( plus ) ,

written between two letters , that denote *

sum of ...

The letters A , B , C , & c . are used to denote

**magnitudes**of any “ kind . Theletters m , n , p , q , are used to denote numbers only . “ 2. The sign + ( plus ) ,

written between two letters , that denote *

**magnitudes**or numbers , signifies thesum of ...

Side 108

The sign 7 is used to signify that the

unequal , and that the

greater than the other . Thus A " 7 B signifies that A is greater than B ; and A i B ...

The sign 7 is used to signify that the

**magnitudes**beiween “ which it is placed areunequal , and that the

**magnitude**to which the - opening of the lines is turned isgreater than the other . Thus A " 7 B signifies that A is greater than B ; and A i B ...

Side 109

When of the equimultiples of four

multiple of the first is greater than that of ... than the multiple of the fourth ; then the

first is said to have to the second a greater ratio than the third

When of the equimultiples of four

**magnitudes**, taken as in the fifth definition , themultiple of the first is greater than that of ... than the multiple of the fourth ; then the

first is said to have to the second a greater ratio than the third

**magnitude**has to ... Side 111

Ex æquali ( sc . distantia ) , or ex æquo , from equality of distance ; when there is

any number of

proportionals when taken two and two of each rank , and it is inferred , that the ...

Ex æquali ( sc . distantia ) , or ex æquo , from equality of distance ; when there is

any number of

**magnitudes**more than two , and as many others , so that they areproportionals when taken two and two of each rank , and it is inferred , that the ...

Side 173

times in the

the numbers m , n , r , s are proportional to the

therefore it is said in any of the following propositions , that a line as A = a ...

times in the

**magnitude**B , r times in C , s times in D , & c . , then it is evident thatthe numbers m , n , r , s are proportional to the

**magnitudes**A , B , C and D. Whentherefore it is said in any of the following propositions , that a line as A = a ...

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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 - 1837 |

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 arch base bisected Book called centre circle circle ABC circumference coincide common cosine cylinder definition demonstrated described diameter difference divided double draw drawn equal equal angles equiangular Euclid exterior 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 Q. E. D. PROP 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

### Populære avsnitt

Side 153 - If from the vertical angle of a triangle a straight line be drawn perpendicular to the base, the rectangle contained by the sides of the triangle is equal to the rectangle contained by the perpendicular and the diameter of the circle...

Side 19 - A circle is a plane figure contained by one line, which is called the circumference, and is such that all straight lines drawn from a certain point within the figure to the circumference, are equal to one another.

Side 33 - THE greater angle of every triangle is subtended by the greater side, or has the greater side opposite to it.

Side 292 - If a straight line meet two straight lines, so as to make the two interior angles on the same side of it taken together less than two right angles...

Side 308 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.

Side 36 - IF two triangles have two sides of the one equal to two sides of the other, each to each, but the angle contained by the two sides of one of them greater than the angle contained by the two sides equal to them, of the other ; the base of that which has the greater angle shall be greater than the base of the other.

Side 18 - When a straight line standing on another straight line makes the adjacent angles equal to one another, each of the angles is called a right angle ; and the straight line which stands on the other is called a perpendicular to it.

Side 78 - To draw a straight line from a given point, either without or in the circumference, which shall touch a given circle. First, let A be a given point without the given circle BCD : it is required to draw a straight line from A which shall touch the circle.

Side 77 - THE straight line drawn at right angles to the diameter of a circle, from the extremity of it, falls without the circle...

Side 39 - If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another ; and the exterior angle equal to the interior and opposite upon the same side ; and likewise the too interior angles upon the same side together equal to two right angles.