## 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 6-10 av 50

Side 51

of the angles CEB , EBC is

right angle ; And because the angle GEF is

angle , for it is equal ( 21. 1. ) to the interior and opposite angle ECB , the

remaining ...

of the angles CEB , EBC is

**half**a right angle ; and therefore the whole AEB is aright angle ; And because the angle GEF is

**half**a right angle , and EGF a rightangle , for it is equal ( 21. 1. ) to the interior and opposite angle ECB , the

remaining ...

Side 52

because it is equal ( 21. 1. ) to the alternate angle DCE ; therefore the remaining

angle DGB is

wherefore ...

**half**a right angle , for they are vertically opposite : but BDG is a right angle ,because it is equal ( 21. 1. ) to the alternate angle DCE ; therefore the remaining

angle DGB is

**half**a right angle , and is therefore equal to the angle DBG ;wherefore ...

Side 53

... the sum of the squares of the other two sides is double of the square of

side bisected , and of the square of the line drawn from the point of bisection to

the opposite angle of the triangle . Let ABC be a triangle , of which the side BC is

...

... the sum of the squares of the other two sides is double of the square of

**half**theside bisected , and of the square of the line drawn from the point of bisection to

the opposite angle of the triangle . Let ABC be a triangle , of which the side BC is

...

Side 74

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 John Playfair. equal to it : and the angle at A is

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 John Playfair. equal to it : and the angle at A is

**half**... Side 91

... GC , BG , GD is a parallelogram , and their opposite sides are equal ( 28. 1. ) ;

and because that AD is equal to AB , and that AE is the

viz .

... GC , BG , GD is a parallelogram , and their opposite sides are equal ( 28. 1. ) ;

and because that AD is equal to AB , and that AE is the

**half**of AD , and AF the**half**of AB , AE is equal to AF ; wherefore the sides opposite to these are equal ,viz .

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

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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 spherical square straight line taken tangent THEOR third touch triangle ABC wherefore whole