## 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 17

For if you assume any point within the given figure and draw lines from each of

the angles to it , the figure will be

and therefore all their angles taken together are = to twice as many right angles

as ...

For if you assume any point within the given figure and draw lines from each of

the angles to it , the figure will be

**divided**into as many triangles as it has sides ;and therefore all their angles taken together are = to twice as many right angles

as ...

Side 95

If there be two right lines , one of which is

rectangle under the troo lines is equal to the sum of the rectangles under the

undivided line and the several parts of the

extremity of ...

If there be two right lines , one of which is

**divided**into any number of parts , therectangle under the troo lines is equal to the sum of the rectangles under the

undivided line and the several parts of the

**divided**line . Draw from eitherextremity of ...

Side 99

If there be troo right lines , one of which is

rectangle under the troo lines is equal to the sum of the rectangles under the

undivided line and the several parts of the

extremity of ...

If there be troo right lines , one of which is

**divided**into any number of purts , therectangle under the troo lines is equal to the sum of the rectangles under the

undivided line and the several parts of the

**divided**line . Draw from eitherextremity of ...

Side 12

And if a right line drawn from any angle of a triangle ,

segments proportional to the other two sides , it bisects that angle . Part 1 . Draw

through either extremity of the

And if a right line drawn from any angle of a triangle ,

**divide**the opposite side intosegments proportional to the other two sides , it bisects that angle . Part 1 . Draw

through either extremity of the

**divided**side a line parallel to the dividing line ... Side 17

il i Broj 100 To

Draw through either extremity of the undivided line a right line , making any < with

it , and on this drawn line assume in continuum from the point of concourse , parts

...

il i Broj 100 To

**divide**a given right line similarly to a given**divided**right line .Draw through either extremity of the undivided line a right line , making any < with

it , and on this drawn line assume in continuum from the point of concourse , parts

...

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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.