## 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 125

through the centre , but the former are greater than the line not

the centre , . . the line

circumference , that line which if produced would

...

through the centre , but the former are greater than the line not

**passing**throughthe centre , . . the line

**passing**through ... Of those lines incident on the convexcircumference , that line which if produced would

**pass**through the centre , is less...

Side 170

THEORO If a right line ( BF ) be drawn from an angle of a régular pentagon

bisecting the opposite side it

extremities and one point of section ( D ) shall also

of ...

THEORO If a right line ( BF ) be drawn from an angle of a régular pentagon

bisecting the opposite side it

**passes**... the circle described to**pass**through theirextremities and one point of section ( D ) shall also

**pass**through the other pointof ...

Side 194

The right line HL which

DA wnich touches both . Cor . 2 . Also , if the tangents IE IF be equal , the right

line HL joining the points of intersection shall

extremety ...

The right line HL which

**passes**through the point of section bisects the right lineDA wnich touches both . Cor . 2 . Also , if the tangents IE IF be equal , the right

line HL joining the points of intersection shall

**pass**through the commonextremety ...

Side 61

III . to

and touch a line . to

one point and touch a line and a circle . VII . to touch two lines and a circle .

III . to

**pass**through a point and touch two lines . IV . to**pass**through two pointsand touch a line . to

**pass**through two points and touch a circle . to**pass**throughone point and touch a line and a circle . VII . to touch two lines and a circle .

Side 67

Such , that two sides of the A will be parallel to two lines given in position , and

that the third will

be parallel to a line given in position , and that the other two will

...

Such , that two sides of the A will be parallel to two lines given in position , and

that the third will

**pass**through a given point . 30 . Such , that one side of the willbe parallel to a line given in position , and that the other two will

**pass**through two...

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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.