The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick |
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Seite 1
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.
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.
Seite 2
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 ...
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 ...
Seite 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 extremity of the base equal to one another , and likewise those which are terminated in the other ...
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 ...
Seite 8
... 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 .
... 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 .
Seite 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 extremities ...
... 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 ...
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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
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Seite 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.
Seite 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.
Seite 4 - AB; but things which are equal to the same are equal to one another...
Seite 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.
Seite 8 - If two triangles have two sides of the one equal to two sides of the...
Seite 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...
Seite 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.
Seite 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.
Seite 4 - Magnitudes which coincide with one another, that is, which exactly fill the same space, are equal to one another.
Seite 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.
Bibliografische Informationen
| Titel | The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick Band 2 von An Elementary Course of Mathematics, Thomas Stephens Davies |
| Autor/in | Royal Military Academy, Woolwich |
| Verlag | J. Weale, 1853 |
| Original von | Harvard University |
| Digitalisiert | 14. Juli 2007 |
| Zitat exportieren | BiBTeX EndNote RefMan |