## 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 |

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Resultat 1-5 av 37

Side 55

... to be farther from the centre . 6. Any portion of the circumference is called an

arc . The chord or subtense of an arc is the straight line which joins its two

extremities . 7. A straight line is said to be

extremities of it ...

... to be farther from the centre . 6. Any portion of the circumference is called an

arc . The chord or subtense of an arc is the straight line which joins its two

extremities . 7. A straight line is said to be

**inscribed**in a circle , when theextremities of it ...

Side 56

An

circumference . And , generally , an

angles are in the circumference . The circle is said to circumscribe such a figure .

10. And an ...

An

**inscribed**triangle , is one which has its three angular points in thecircumference . And , generally , an

**inscribed**figure is one , of which all theangles are in the circumference . The circle is said to circumscribe such a figure .

10. And an ...

Side 71

THEOR . The opposite angles of any quadrilateral figure

together equal to two right angles . Let ABCD be a quadrilateral figure in the

circle ABCD ; any two of its opposite angles are together equal to two right angles

.

THEOR . The opposite angles of any quadrilateral figure

**inscribed**in a circle , aretogether equal to two right angles . Let ABCD be a quadrilateral figure in the

circle ABCD ; any two of its opposite angles are together equal to two right angles

.

Side 72

It follows , likewise , that a quadrilateral , of which the opposite angles are not

equal to two right angles , cannot be

Upon the same straight line , and upon the same side of it , there cannot be two ...

It follows , likewise , that a quadrilateral , of which the opposite angles are not

equal to two right angles , cannot be

**inscribed**in a circle . PROP . XXIII . THEORUpon the same straight line , and upon the same side of it , there cannot be two ...

Side 85

1 A RECTILINEAL figure is said to be

when all the angles of the

which it is

described ...

1 A RECTILINEAL figure is said to be

**inscribed**in another rectilineal figure ,when all the angles of the

**inscribed**figure are upon the sides of the figure inwhich it is

**inscribed**, each upon each . 2. In like manner , a figure is said to bedescribed ...

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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