## 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 |

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Resultat 1-5 av 5

Side 25

Produce the greater of the lines ' till the produced part becomes to the lesser ,

from their common extremity as centre and the greater as radius , describe a

circle and from the other extremity of produced part erect a

its ...

Produce the greater of the lines ' till the produced part becomes to the lesser ,

from their common extremity as centre and the greater as radius , describe a

circle and from the other extremity of produced part erect a

**perpendicular**to meetits ...

Side 104

For the difference between the grs of the sides is to the difference between tlie

ers of the segments of the side upon which the

. 47 , 1 , ) and . . when the

For the difference between the grs of the sides is to the difference between tlie

ers of the segments of the side upon which the

**perpendicular**falls , ( cor . 4 , prop. 47 , 1 , ) and . . when the

**perpendicular**falls within the triangle to the rectangle ... Side 115

... rectangle under either of these sides and the external segment between the

obtuse angle and the

side subtending the obtuse angle is = to the o ' rs of the

made ...

... rectangle under either of these sides and the external segment between the

obtuse angle and the

**perpendicular**let fall from the opposite angle , The of theside subtending the obtuse angle is = to the o ' rs of the

**perpendicular**and linemade ...

Side 20

Connect the extremities of those perpendiculars , and produce the connecting

line to meet the line on which the part is assumed . That line will be the base of a

right angled A ; assume on it from the point in which the second

Connect the extremities of those perpendiculars , and produce the connecting

line to meet the line on which the part is assumed . That line will be the base of a

right angled A ; assume on it from the point in which the second

**perpendicular**... Side 24

Then on the ruler in which the first

vertex the first of the given extremes , and on the other ruler lay off also from the

vertex the last extreme ; then fixing the first

the ...

Then on the ruler in which the first

**perpendicular**is inserted , lay off from thevertex the first of the given extremes , and on the other ruler lay off also from the

vertex the last extreme ; then fixing the first

**perpendicular**ruler at the extremity ofthe ...

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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.