## The Elements of geometry [Euclid book 1-3] in general terms, with notes &c. &c. Also a variety of problems & theorems. [Ed. by J. Luby. With] The elements of plane geometry, comprising the definitions of the fifth book, and the sixth book in general terms, with notes [&c.] by J. Luby [described as] Pt. 3 |

### Inni boken

Resultat 1-5 av 5

Side 7

On the sides containing the angle assume = portions towards the vertex , connect

their extremities and on the side of the connecting

angle , describe an equilateral triangle , the

...

On the sides containing the angle assume = portions towards the vertex , connect

their extremities and on the side of the connecting

**line**remote from the**given**angle , describe an equilateral triangle , the

**right line**joining its vertex with that of...

Side 161

13 , THEOR . The locus of the centres of any number of circles which shall touch

two

bisecting the angle ( BAD ) made by the given lines . Fig . 25 . For , from any

points I Tin ...

13 , THEOR . The locus of the centres of any number of circles which shall touch

two

**given right lines**( AD , AB , that are not parallel , is the right line ( AF )bisecting the angle ( BAD ) made by the given lines . Fig . 25 . For , from any

points I Tin ...

Side 17

From a

given line draw a right line making any with it ; assume on this drawn line from

the point of concourse any portion , and also from the same point another portion

...

From a

**given right line**to cut off any part required . From either extremity of thegiven line draw a right line making any with it ; assume on this drawn line from

the point of concourse any portion , and also from the same point another portion

...

Side 64

so that the contained by two

points of concourse may be the least ... of a O is

position of the

...

so that the contained by two

**right lines**, drawn from the**given**point to the twopoints of concourse may be the least ... of a O is

**given**, it is required to find theposition of the

**right line**RS , and that of a point P in another**line given**in position...

Side 65

BD . sition ; so as to obtain the ratio of two unequal right lines , Mm , Nn . XLII .

From two given points A , B to draw two lines AC , BC to meet in a right line DE

given by position ; su that their difference shall be = to a

BD . sition ; so as to obtain the ratio of two unequal right lines , Mm , Nn . XLII .

From two given points A , B to draw two lines AC , BC to meet in a right line DE

given by position ; su that their difference shall be = to a

**given right line**XLIII .### Hva folk mener - Skriv en omtale

Vi har ikke funnet noen omtaler på noen av de vanlige stedene.

### Andre utgaver - Vis alle

The Elements of geometry [Euclid book 1-3] in general terms, with notes &c ... Euclides Uten tilgangsbegrensning - 1833 |

### Vanlige uttrykk og setninger

absurd adjacent ANALYSIS arches assumed base centre chord circle circumference common construct describe diagonal diameter difference divided double draw draw a line equal evident external extremity figure formed four fourth given angle given circle given in position given line given point given right line greater half hypothenuse inscribed intercept internal intersect isosceles join less lesser line drawn lines be drawn magnitude mean meet Note O’rs opposite side parallel parallelogram pass perpendicular point of bisection point of contact PROB produced PROP proportional proposition proved radii radius reason rect rectangle remaining required triangle respectively right angled triangle right angles right line segment semicircle side similar square stand subtending Suppose taken tangent THEOR third touch triangle unequal vertex whole line

### Populære avsnitt

Side 130 - The angle at the centre of a circle is double the angle at the circumference on the same arc.

Side 28 - IF three straight lines be proportionals, the rectangle contained by the extremes is equal to the square of the mean ; and if the rectangle contained by the extremes be equal to the square of the mean, the three straight lines are proportionals.

Side 113 - In any triangle, the square of the side subtending an acute angle is less than the sum of the squares of the...

Side 6 - A straight line is said to be cut in extreme and mean ratio, when the whole is to the greater segment as the greater segment is to the less.

Side 98 - If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts.

Side 4 - Convertendo ; when it is .concluded, that if there be four magnitudes proportional, the first is to the sum or difference of the first and second, as the third is to the sum or difference of the third and fourth.

Side 20 - DE : but equal triangles on the same base and on the same side of it, are between the same parallels ; (i.

Side 118 - If any two points be taken in the circumference of a circle, the straight line which joins them shall fall within the circle.

Side 158 - The sum of the squares of the sides of any quadrilateral is equal to the sum of the squares of the diagonals plus four times the square of the line joining the middle points of the diagonals.

Side 30 - Similar triangles are to one another in the duplicate ratio of their homologous sides.