## 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 196

If four right lines [ EF , IF , EL , IP ) which

triangles [ ELF , ETP , IPF and ITL ) the circles circumseribing them shall all pass

through one point . Fig . 91 . Let the circles CRTL , REPT circumscribing two of

the ...

If four right lines [ EF , IF , EL , IP ) which

**intersect**one another , and form fourtriangles [ ELF , ETP , IPF and ITL ) the circles circumseribing them shall all pass

through one point . Fig . 91 . Let the circles CRTL , REPT circumscribing two of

the ...

Side 50

If from the extremities of the diameter of a 0 any number of chords be drawn , two

and two ,

from the csf , d , c , of a Ä to

If from the extremities of the diameter of a 0 any number of chords be drawn , two

and two ,

**intersecting**each other in a ... If three right lines fb , ae , cd , be drawnfrom the csf , d , c , of a Ä to

**intersect**in the same point o , within or without the A ... Side 51

... other secant pec be drawn , and dc ' dc be joined , they will

towards the centre , on the line pc ( 21 and 22 . 3 . El . and Cor . 4 . 6 ) . This

theorem might be proposed as a porism . LXII . If a pair of tangents be drawn from

a ...

... other secant pec be drawn , and dc ' dc be joined , they will

**intersect**= portionstowards the centre , on the line pc ( 21 and 22 . 3 . El . and Cor . 4 . 6 ) . This

theorem might be proposed as a porism . LXII . If a pair of tangents be drawn from

a ...

Side 53

If the opposite sides of an irregular hexagon inscribed in a O be produced till they

meet , the three points of

prize question of 1806 , in Leybourn ' s Mathematical Repository ; it is there ...

If the opposite sides of an irregular hexagon inscribed in a O be produced till they

meet , the three points of

**intersection**will be in the same straight line . This is theprize question of 1806 , in Leybourn ' s Mathematical Repository ; it is there ...

Side 62

A Abeing given in position , and two points being also given ; it is required to

draw lines through those points to

A , and meet the other sides , so as to cut off segments adjacent to the given

points ...

A Abeing given in position , and two points being also given ; it is required to

draw lines through those points to

**intersect**one another in one of the sides of theA , and meet the other sides , so as to cut off segments adjacent to the given

points ...

### 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.