## 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 30

To

that GF is the required

' .

To

**draw**through a given point ( D ) a right**line**making equal angles with treo**lines**( AB and AC ) given in position . Fig . 3 : : Analysis . . Suppose it done , andthat GF is the required

**line**.**Draw**through the external angle EAC , AK parallel to' .

Side 17

From a given right

given

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

...

Side 64

To

given by position , so as to form with them a A equal to a given a rectangle .

XXXVIII . To divide a given a into any proposed number of parts , so as to have

any ...

To

**draw a line**parallel to a given line , which shall terminate in two other linesgiven by position , so as to form with them a A equal to a given a rectangle .

XXXVIII . To divide a given a into any proposed number of parts , so as to have

any ...

Side 65

BD . sition ; so as to obtain the ratio of two unequal right

From two given points A , B to

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

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

**line**XLIII . Side 66

Two right

their concourse A , so to

falling from the extreme thereof upon the two given

Two right

**lines**AB , AC being given both in length and position from the point oftheir concourse A , so to

**draw**another**line**AI that two perpendiculars IP , IN ,falling from the extreme thereof upon the two given

**lines**, shall cut off alternate ...### Hva folk mener - Skriv en omtale

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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.