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

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Side 139

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**curves**and**curve**surfaces by means of their genesis . We are not , however , imperatively tied down to this arrangement ; but whatever method we employ ... Side 208

DB = A'D.DB ' ; whence DE being perpendicular to A'B ' , and having DES = A'D.DB ' , the

DB = A'D.DB ' ; whence DE being perpendicular to A'B ' , and having DES = A'D.DB ' , the

**curve**A'EB ... Side 221

It is proposed , therefore , in this chapter , to show how those

It is proposed , therefore , in this chapter , to show how those

**curves**are ... In this case there are two parts of the**curve**, which are often called ... Side 222

only ( as in the parabola ) , the portion of it within the

only ( as in the parabola ) , the portion of it within the

**curve**is called the principal diameter or axis of the parabola . 6. The middle of the transverse ... Side 223

And as AF , AH are obviously the abscissas , and FG , IH the ordinates of the poiuts G and I in the

And as AF , AH are obviously the abscissas , and FG , IH the ordinates of the poiuts G and I in the

**curve**, the property is consequently established . Cor .### Hva folk mener - Skriv en omtale

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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

ABCD axis base bisected called centre circle circumference coincide common cone construction contained curve described diameter difference dihedral angles direction distance divided double draw drawn edges ellipse equal equal angles equimultiples extremities faces figure formed four fourth given line given point greater hence horizontal inclination intersection join less likewise magnitudes manner meet method multiple opposite parallel parallel planes parallelogram pass perpendicular perspective picture plane MN plane of projection plane PQ position preceding prism problem produced profile angles Prop proportional PROPOSITION proved ratio reason rectangle remaining respectively right angles SCHOLIUM segment shown sides similar sphere square straight line surface taken tangent Theor third touch trace transverse triangle triangle ABC trihedral vertex vertical Whence Wherefore whole

### 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.