## 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 6

If it be possible that there can , Ist , let the

draw a right connecting their

of two isosceles triangles , and the angles at the base must be = : in each , but if

they ...

If it be possible that there can , Ist , let the

**vertex**of one fall without the other ,draw a right connecting their

**vertices**, then this connecting line will be the baseof two isosceles triangles , and the angles at the base must be = : in each , but if

they ...

Side 133

If two equal angles stand upon the same arch , and the

in the circuitierence of the circle , the

circumference . For if it be possible let the

If two equal angles stand upon the same arch , and the

**vertex**of one of them bein the circuitierence of the circle , the

**vertex**of the other shall be in the samecircumference . For if it be possible let the

**vertex**of the o her angle fall within or ... Side 11

sides between this line and the

latter a : : the segt . ( between par . lines ) on which it stands : the segt . in

directum with it , ( between line drawn par , and

other of ...

sides between this line and the

**vertex**of the given a , but one of those As : thislatter a : : the segt . ( between par . lines ) on which it stands : the segt . in

directum with it , ( between line drawn par , and

**vertex**of original A ) ; and theother of ...

Side 23

Then it is evident that those produced parts intercepted between the < formed by

the extremes and the

right formed by the extremes , that the portions of it between the produced parts

and ...

Then it is evident that those produced parts intercepted between the < formed by

the extremes and the

**vertices**of the ... and so apply a ruler to the**vertex**of theright formed by the extremes , that the portions of it between the produced parts

and ...

Side 24

Then on the ruler in which the first perpendicular is inserted , lay off from the

the ...

Then on the ruler in which the first perpendicular is inserted , lay off from the

**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 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.