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

### Inni boken

Resultat 1-5 av 22

Side 31

to two right angles : and the angles AED , DEB , which the straight line DE с

makes with the straight line . AB , are ... And hence , all the angles made by any

number of straight Nines meeting in one point , are together equal to

to two right angles : and the angles AED , DEB , which the straight line DE с

makes with the straight line . AB , are ... And hence , all the angles made by any

number of straight Nines meeting in one point , are together equal to

**four right****angles**. Side 40

If two lines KL and CD make , with EF , the two angles KGH , GHC together less

than two right angles , KG and CH will ... angles ; but this is impossible ; for the

four angles KGH , HGL , CHG , GHD are together equal to

. ) ...

If two lines KL and CD make , with EF , the two angles KGH , GHC together less

than two right angles , KG and CH will ... angles ; but this is impossible ; for the

four angles KGH , HGL , CHG , GHD are together equal to

**four right angles**( 13. 1. ) ...

Side 51

to DE , and AD to BE : but BA is equal to AD ; therefore the

AD , C DE , EB are equal to one another , and the ... to two

is a right angle ; therefore also ADE is a right angle ; now the opposite angles of ...

to DE , and AD to BE : but BA is equal to AD ; therefore the

**four**straight lines BA ,AD , C DE , EB are equal to one another , and the ... to two

**right angles**; but BADis a right angle ; therefore also ADE is a right angle ; now the opposite angles of ...

Side 99

diameter , at

straight lines EC , ED are each of them equal to EA , or EB ; therefore the

straight ...

**angles**, and because the straight line which is drawn from the extremity of adiameter , at

**right**B H С**angles**to it , touches ... it may be demonstrated , that thestraight lines EC , ED are each of them equal to EA , or EB ; therefore the

**four**straight ...

Side 101

The angle BAD is the fifth part of two

ABD and ADB is equal to twice the v angle BAD , they are together equal to

times BAD , and there“ fore all the three angles ABD , ADB , BAD , taken together

...

The angle BAD is the fifth part of two

**right angles**. * For since each of the anglesABD and ADB is equal to twice the v angle BAD , they are together equal to

**four**times BAD , and there“ fore all the three angles ABD , ADB , BAD , taken together

...

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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 - 1854 |

### 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.