## 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 10

Pre of them perils at the side mal angle is proved greater than the other internal

remote angle by producing the

angle , and proving as before the new external angle , thus formed greater than ...

Pre of them perils at the side mal angle is proved greater than the other internal

remote angle by producing the

**opposite side**beyond the vertex of this externalangle , and proving as before the new external angle , thus formed greater than ...

Side 116

perpendicular or the 2 of the

double the rectangle under the

intercept , is to the sum of the o ' rs of the other two

be right ...

perpendicular or the 2 of the

**side opposite**to the acute angle , . . . this withdouble the rectangle under the

**side**on which the perpendicular falls , andintercept , is to the sum of the o ' rs of the other two

**sides**. Schol . 1 . If the trianglebe right ...

Side 27

If from any angle of a triangle , a perpendicular be let fall on the

equal to the rectangle under the perpendicular and the diameter of the ...

If from any angle of a triangle , a perpendicular be let fall on the

**opposite side**, or**opposite side**produced , the rectangle under the sides containing that angle isequal to the rectangle under the perpendicular and the diameter of the ...

Side 28

Because that segt . and the side conterminous with it are sides of a A , similar to

one of which the

sides , . that segt . and diag . are extremes , and the

figure ...

Because that segt . and the side conterminous with it are sides of a A , similar to

one of which the

**opposite side**of the given figure and the other diagonal aresides , . that segt . and diag . are extremes , and the

**opposite sides**of the givenfigure ...

Side 29

It is = to the quotient obtained by dividing the D of the side by the , altitude . · Note

3 . In Cor . 3 , if the given Abe obtuse , and the perpendicular be let fall from one

of the acute s , it will meet the

It is = to the quotient obtained by dividing the D of the side by the , altitude . · Note

3 . In Cor . 3 , if the given Abe obtuse , and the perpendicular be let fall from one

of the acute s , it will meet the

**opposite side**produced . The extremity of the ...### 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.