## The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick |

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Resultat 1-5 av 87

Side 10

It is required to draw a straight line

any point D upon the other side of A B , and from the centre C , at the distance CD

, describe ( 3 Post . ) the circle FDG meeting AB in F , G ; and bisect ( 10. 1. ) ...

It is required to draw a straight line

**perpendicular**to AB from the point C. Takeany point D upon the other side of A B , and from the centre C , at the distance CD

, describe ( 3 Post . ) the circle FDG meeting AB in F , G ; and bisect ( 10. 1. ) ...

Side 31

14. If the two diagonals of a parallelogram be equal , all the angles of the

parallelogram are right angles . 15. If the four sides of a quadrilateral figure be

equal , the figure is a parallelogram , and the diagonals are

another .

14. If the two diagonals of a parallelogram be equal , all the angles of the

parallelogram are right angles . 15. If the four sides of a quadrilateral figure be

equal , the figure is a parallelogram , and the diagonals are

**perpendicular**to oneanother .

Side 32

Only one

whether the point be in the line or without it . 28. The

line that can be drawn to a line from a point without it . 29. Of straight lines ...

Only one

**perpendicular**can be drawn from a given point to a given straight line ,whether the point be in the line or without it . 28. The

**perpendicular**is the shortestline that can be drawn to a line from a point without it . 29. Of straight lines ...

Side 41

In obtuse - angled triangles , if a

angles to the opposite side produced , the square of the side subtending the

obtuse angle is greater than the squares of the sides containing the obtuse angle

, by ...

In obtuse - angled triangles , if a

**perpendicular**be drawn from any of the acuteangles to the opposite side produced , the square of the side subtending the

obtuse angle is greater than the squares of the sides containing the obtuse angle

, by ...

Side 42

Let ABC be any triangle , and the angle at B one of its acute angles ; and upon

BC , one of the sides containing it , let fall the

opposite angle : the square of AC , opposite to the angle B , is less than the ...

Let ABC be any triangle , and the angle at B one of its acute angles ; and upon

BC , one of the sides containing it , let fall the

**perpendicular**( 12. 1. ) AD from theopposite angle : the square of AC , opposite to the angle B , is less than the ...

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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick Royal Military Academy, Woolwich Uten tilgangsbegrensning - 1853 |

### Vanlige uttrykk og setninger

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### Populære avsnitt

Side 19 - That, if a straight line falling on two straight lines make the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which are the angles less than the two right angles.

Side 35 - If a straight line be divided into two equal parts, and also into two unequal parts ; the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line.

Side 4 - AB; but things which are equal to the same are equal to one another...

Side 128 - EQUIANGULAR parallelograms have to one another the ratio which is compounded of the ratios of their sides.* Let AC, CF be equiangular parallelograms, having the angle BCD equal to the angle ECG : the ratio of the parallelogram AC to the parallelogram CF, is the same with the ratio which is compounded of the ratios of their sides. Let BG, CG, be placed in a straight line ; therefore DC and CE are also in a straight line (14.

Side 8 - If two triangles have two sides of the one equal to two sides of the...

Side 36 - If a straight line be bisected and produced to any point, the rectangle contained by the whole line thus produced and the part of it produced...

Side 21 - BCD, and the other angles to the other angles, (4. 1.) each to each, to which the equal sides are opposite : therefore the angle ACB is equal to the angle CBD ; and because the straight line BC meets the two straight lines AC, BD, and makes the alternate angles ACB, CBD equal to one another, AC is parallel (27. 1 .) to DB ; and it was shown to be equal to it. Therefore straight lines, &c.

Side 65 - If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle, the angles which this line makes with the line touching the circle shall be equal to the angles which are in the alternate segments of the circle.

Side 4 - Magnitudes which coincide with one another, that is, which exactly fill the same space, are equal to one another.

Side 116 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.