## 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 89

Side 36

another circle HLK ; and join KF , KG ; the triangle KFG has its sides equal to the

three straight lines , A , B , C. Because the point F is the

FD is equal ( 11 . Def . ) to FK ; but FD is equal to the straight line A ; therefore FK

...

another circle HLK ; and join KF , KG ; the triangle KFG has its sides equal to the

three straight lines , A , B , C. Because the point F is the

**centre**of the circle DKL ,FD is equal ( 11 . Def . ) to FK ; but FD is equal to the straight line A ; therefore FK

...

Side 37

... the arc described from A as a

given side , would cut BC on opposite sides of C ' ; so that only one obtuse

angled triangle could be B formed ; that is , the triangle BC'A will be the triangle

required .

... the arc described from A as a

**centre**, with a radius equal to AB , the othergiven side , would cut BC on opposite sides of C ' ; so that only one obtuse

angled triangle could be B formed ; that is , the triangle BC'A will be the triangle

required .

Side 38

If the given angle be acute , and the side opposite to it greater than the adjacent

side , the same mode of construction will apply : for , making BCA equal to the

given angle , and AC equal to the adjacent side ; then , from A as

If the given angle be acute , and the side opposite to it greater than the adjacent

side , the same mode of construction will apply : for , making BCA equal to the

given angle , and AC equal to the adjacent side ; then , from A as

**centre**, with a ... Side 43

the lines AC , AD , at right angles to each other , making AC equal to the side of

the less square ; then , from C as

other square , describe an arc cutting AD in D : the square described upon AD

will ...

the lines AC , AD , at right angles to each other , making AC equal to the side of

the less square ; then , from C as

**centre**, with a radius equal to the side of theother square , describe an arc cutting AD in D : the square described upon AD

will ...

Side 55

The radius of a circle is the straight line drawn from the

circumference . 2. A straight line is said to touch a circle , when it meets the circle

, and being produced does not cut it . And that line which has but . one point in

common with ...

The radius of a circle is the straight line drawn from the

**centre**to thecircumference . 2. A straight line is said to touch a circle , when it meets the circle

, and being produced does not cut it . And that line which has but . one point in

common with ...

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