## 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 28

Side 4

... straight lines have a common

without coinciding altogether . ” 4. A superficies is that which has only length and

breadth . “ Cor . The extremities of a superficies are lines ; and the intersections ...

... straight lines have a common

**segment**; that is , they cannot coincide “ in part ,without coinciding altogether . ” 4. A superficies is that which has only length and

breadth . “ Cor . The extremities of a superficies are lines ; and the intersections ...

Side 55

And any straight line which meets the circle in two points , is called a secant . 8. A

cuts off . 9. An angle in a

And any straight line which meets the circle in two points , is called a secant . 8. A

**segment**of a circle is the figure contained by a straight line , and the arc which itcuts off . 9. An angle in a

**segment**is the angle contained ELEMENTS. Side 56

An angle in a

any point in the circumference of the

line which is the base of the

...

An angle in a

**segment**is the angle contained by two straight lines drawn fromany point in the circumference of the

**segment**, to the extremities of the straightline which is the base of the

**segment**. An inscribed triangle , is one which has its...

Side 57

The arc of a circle whose chord is a diameter , is a semi - circumference , and the

included

taken in the circumference of a circle , the straight line which joins them shall fall

...

The arc of a circle whose chord is a diameter , is a semi - circumference , and the

included

**segment**is a semi - circle . PROP . II . THEOR . If any two points betaken in the circumference of a circle , the straight line which joins them shall fall

...

Side 71

The angles in the same

be a circle , and BAD , BED angles in the same

, BED are equal to one another . E Take F the centre of the circle ABCD : А And ...

The angles in the same

**segment**of a circle are equal to one another . Let ABCDbe a circle , and BAD , BED angles in the same

**segment**BAED : The angles BAD, BED are equal to one another . E Take F the centre of the circle ABCD : А And ...

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### 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