## 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 71

Side 6

The polygon of three sides , the simplest of all , is called a triangle ; that of

sides , a quadrilateral ; that of five , a pentagon ; that of six , a hexagon ; and so

on . 18. Of three sided figures , an equilateral triangle is that which has three

equal ...

The polygon of three sides , the simplest of all , is called a triangle ; that of

**four**sides , a quadrilateral ; that of five , a pentagon ; that of six , a hexagon ; and so

on . 18. Of three sided figures , an equilateral triangle is that which has three

equal ...

Side 7

All other

which joins the vertices of two angles not adjacent to each other . Thus , BC , in

the diagram of Theor . 27. is a diagonal . 31. An equilateral polygon , is one ...

All other

**four**sided figures are usually called trapeziums . 30. A diagonal is a linewhich joins the vertices of two angles not adjacent to each other . Thus , BC , in

the diagram of Theor . 27. is a diagonal . 31. An equilateral polygon , is one ...

Side 13

From this it is manifest , that if two straight lines cut one another , the angles

which they make at the point of their intersection , are together equal to

angles . Cor . 2. And hence , all the angles made by any number of straight lines

...

From this it is manifest , that if two straight lines cut one another , the angles

which they make at the point of their intersection , are together equal to

**four**rightangles . Cor . 2. And hence , all the angles made by any number of straight lines

...

Side 21

Since AGE = BGH , and DHF = CHG ; hence the

GHC , DHF , are equal to each other . The same is the case with the

angles EGB , AGH , GHD , CHF . It may be also observed , that , in adding one of

...

Since AGE = BGH , and DHF = CHG ; hence the

**four**acute angles BGH , AGE ,GHC , DHF , are equal to each other . The same is the case with the

**four**obtuseangles EGB , AGH , GHD , CHF . It may be also observed , that , in adding one of

...

Side 23

All the interior angles of any rectilineal figure are equal to twice as many right

angles as the figure has sides , wanting

figure ABCDE can be divided into as many triangles as the figure has sides , by

drawing ...

All the interior angles of any rectilineal figure are equal to twice as many right

angles as the figure has sides , wanting

**four**right angles . For any rectilinealfigure ABCDE can be divided into as many triangles as the figure has sides , by

drawing ...

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Elements of Geometry: Containing the First Six Books of Euclid with a ... John Playfair Uten tilgangsbegrensning - 1855 |

Elements of Geometry: Containing the First Six Books of Euclid, with a ... Euclid,John Playfair Uten tilgangsbegrensning - 1853 |

Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Uten tilgangsbegrensning - 1847 |

### 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