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

### Dentro del libro

Resultados 1-5 de 40

Página 1

The

The

**extremities**of a line are points . 4. A straight line is that which lies evenly between its extreme points . 5. A superficies is that which hath only length and breadth . 6. The**extremities**of a superficies are lines . 7. Página 2

A term or boundary is the

A term or boundary is the

**extremity**of anything . 14. A figure is that which is enclosed by one or more boundaries . 15. A circle is a plane figure contained one line , which is called the circumference , and is such that all straight ... Página 7

Upon the same base , and on the same side of it , there cannot be two triangles that have their sides which are terminated in one

Upon the same base , and on the same side of it , there cannot be two triangles that have their sides which are terminated in one

**extremity**of the base equal to one another , and likewise those which are terminated in the other ... Página 8

... there cannot be two triangles that have their sides which are terminated in one

... there cannot be two triangles that have their sides which are terminated in one

**extremity**of the base equal to one another , and likewise those which are terminated in the other**extremity**. Q. E , D. A B C E PROPOSITION VIII . Página 21

... are equal to all the interior angles of the figure , together with four right angles ; therefore all the exterior angles are equal to four right angles . O PROPOSITION XXXIII . THEOR . The straight lines which join the

... are equal to all the interior angles of the figure , together with four right angles ; therefore all the exterior angles are equal to four right angles . O PROPOSITION XXXIII . THEOR . The straight lines which join the

**extremities**...### Comentarios de la gente - Escribir un comentario

No encontramos ningún comentario en los lugares habituales.

### Otras ediciones - Ver todas

### Términos y frases comunes

ABCD angle ABC axis base bisected called centre circle circumference coincide common cone construction contained coordinate planes curve describe diameter difference dihedral angles distance divided double draw drawn edges equal equal angles equimultiples extremities faces figure 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 position preceding prism problem produced projection Prop proportionals PROPOSITION ratio reason rectangle rectilineal remaining respectively right angles segment shadow shown sides similar sphere square straight line surface taken tangent Theor third touch trace triangle triangle ABC vertical Whence Wherefore whole

### Pasajes populares

Página 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.

Página 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.

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

Página 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.

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

Página 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...

Página 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.

Página 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.

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

Página 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.