The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh and Twelfth ; the Errors, by which Theon, Or Others, Have Long Ago Vitiated These Books, are Corrected, and Some of Euclid's Demonstrations are Restored ; Also the Book of Euclid's Data, in Like Manner Corrected |
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Seite 33
... but those straight lines which , with another straight line falling upon them , make the interior angles on the same side less than two right angles , do meet ( 12. ax . ) * together if continually produced , therefore the straight ...
... but those straight lines which , with another straight line falling upon them , make the interior angles on the same side less than two right angles , do meet ( 12. ax . ) * together if continually produced , therefore the straight ...
Seite 44
... HFE are less than two right angles : but straight lines which with another straight line make the interior angles upon the same side less than two right angles , do meet ( 12. Ax . ) if produced far enough : therefore HB , FE shall ...
... HFE are less than two right angles : but straight lines which with another straight line make the interior angles upon the same side less than two right angles , do meet ( 12. Ax . ) if produced far enough : therefore HB , FE shall ...
Seite 58
... EFD are less than two right angles : but straight lines which with another straight line make the interior angles upon the same side less than two right angles do meet ( 12. Ax . ) if produced far enough : therefore EB , FD shall ...
... EFD are less than two right angles : but straight lines which with another straight line make the interior angles upon the same side less than two right angles do meet ( 12. Ax . ) if produced far enough : therefore EB , FD shall ...
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added altitude angle ABC angle BAC base centre circle circle ABCD circumference common cone cylinder definition demonstrated described diameter divided double draw drawn equal equal angles equiangular equimultiples Euclid excess fore four fourth given angle given in position given in species given magnitude given ratio given straight line greater Greek half join less likewise magnitude manner meet multiple Note opposite parallel parallelogram pass perpendicular plane prism produced PROP proportionals proposition pyramid Q. E. D. PROP radius reason rectangle rectangle contained rectilineal figure remaining right angles segment shown sides similar sine solid solid angle sphere square square of AC taken THEOR third triangle ABC wherefore whole
Beliebte Passagen
Seite 9 - Let it be granted that a straight line may be drawn from any one point to any other point.
Seite 81 - The angles in the same segment of a circle are equal to one another.
Seite 315 - Equiangular parallelograms have to one another the ratio which is compounded of the ratios of their sides.
Seite 33 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Seite 49 - If a straight line be divided into any two parts, the rectangle contained by the whole and one of the parts, is equal to the rectangle contained by the two parts, together with the square of the aforesaid part.
Seite 96 - If from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it ; the rectangle contained by the whole line which cuts the circle, and the part of it without the circle, shall be equal to the square of the line which touches it.
Seite 155 - 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.
Seite 22 - ANY two angles of a triangle are together less than two right angles.
Seite 25 - Let A, B, C be the three given straight lines, of which any two whatever are greater than the third, viz.
Seite 24 - Any two sides of a triangle are together greater than the third side.
Bibliografische Informationen
| Titel | The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh and Twelfth ; the Errors, by which Theon, Or Others, Have Long Ago Vitiated These Books, are Corrected, and Some of Euclid's Demonstrations are Restored ; Also the Book of Euclid's Data, in Like Manner Corrected |
| Autoren | Euclid, Robert Simson |
| Verlag | Desilver, 1829 |
| Original von | University of Michigan |
| Digitalisiert | 11. Juni 2007 |
| Länge | 516 Seiten |
| Zitat exportieren | BiBTeX EndNote RefMan |