The Elements of Euclid: 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. viz. the first six books, together with the eleventh and twelfthMathew Carey, and sold by J. Conrad & Company, S. F. Bradford, Birch & Small, and Samuel Etheridge. Printed by T. & G. Palmer, 116, High-Street., 1806 - 518 Seiten |
Im Buch
Ergebnisse 1-5 von 45
Seite 3
... Greek editions we now have , I found that Theon , or whoever was the editor of the present Greek text , by adding some things , suppressing others , and mixing his own with Euclid's demonstrations , had changed more things to the worse ...
... Greek editions we now have , I found that Theon , or whoever was the editor of the present Greek text , by adding some things , suppressing others , and mixing his own with Euclid's demonstrations , had changed more things to the worse ...
Seite 82
... Greek text and transla- ' tions from it , the angle of the semicircle is said to be greater ' than any acute rectilineal angle , and the remaining angle less ' than any rectilineal angle . ' COR . From this it is manifest , that the ...
... Greek text and transla- ' tions from it , the angle of the semicircle is said to be greater ' than any acute rectilineal angle , and the remaining angle less ' than any rectilineal angle . ' COR . From this it is manifest , that the ...
Seite 93
... falls without the right angle CAB , but the circumference of the less segment ADC falls within the right angle CAF . And this is all that is meant , when in the Book III . Greek text , and the translations from OF EUCLID . 93.
... falls without the right angle CAB , but the circumference of the less segment ADC falls within the right angle CAF . And this is all that is meant , when in the Book III . Greek text , and the translations from OF EUCLID . 93.
Seite 94
... Greek text , and the translations from it , the angle of the greater segment is said to be greater , and the angle of the less segment is said to be less , than a right angle . ' COR . From this it is manifest , that if one angle of a ...
... Greek text , and the translations from it , the angle of the greater segment is said to be greater , and the angle of the less segment is said to be less , than a right angle . ' COR . From this it is manifest , that if one angle of a ...
Seite 273
... Greek , because the pyra- mid , in what follows , is supposed to be circumscribed about the cone , and so must have the same vertex . And the same change is made in some places fol- lowing . B. XII . FP , PG , GR , RH 2 M OF EUCLID ...
... Greek , because the pyra- mid , in what follows , is supposed to be circumscribed about the cone , and so must have the same vertex . And the same change is made in some places fol- lowing . B. XII . FP , PG , GR , RH 2 M OF EUCLID ...
Andere Ausgaben - Alle anzeigen
The Elements of Euclid: The Errors, by Which Theon, Or Others, Have Long Ago ... Robert Simson,Robert Euclid Keine Leseprobe verfügbar - 2015 |
The Elements of Euclid: The Errors, by Which Theon, Or Others, Have Long Ago ... Robert Simson,Robert Euclid Keine Leseprobe verfügbar - 2022 |
The Elements of Euclid: The Errors, by Which Theon, Or Others, Have Long Ago ... Robert Simson,Robert Euclid Keine Leseprobe verfügbar - 2018 |
Häufige Begriffe und Wortgruppen
altitude angle ABC angle BAC base BC BC is equal BC is given bisected Book XI centre circle ABCD circumference cone cylinder demonstrated described diameter draw drawn equal angles equiangular equimultiples Euclid excess fore given angle given in magnitude given in position given in species given magnitude given point given ratio given straight line gnomon greater join less Let ABC meet multiple opposite parallel parallelogram perpendicular point F polygon prisms proportionals proposition pyramid Q. E. D. PROP radius ratio of AE rectangle CB rectangle contained rectilineal figure right angles segment sides BA similar sine solid angle solid parallelepipeds square of AC straight line AB straight line BC tangent THEOR third triangle ABC triplicate ratio vertex wherefore
Beliebte Passagen
Seite 30 - Any two sides of a triangle are together greater than the third side.
Seite 64 - To divide a given straight line into two parts, so that the rectangle contained by the whole, and one of the parts, may be equal to the square of the other part.
Seite 30 - IF, from the ends of the side of a triangle, there be drawn two straight lines to a point within the triangle, these shall be less than the other two sides of the triangle, but shall contain a greater angle. Let...
Seite 59 - PROP. VIII. THEOR. IF a straight line be divided into any two parts, tour times the rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and that part.
Seite 28 - If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles.
Seite 165 - 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 19 - THE angles at the base of an isosceles triangle are equal to one another : and, if the equal sides be produced, the angles upon the other side of the base shall be equal.
Seite 191 - In right angled triangles, the rectilineal figure described upon the side opposite to the right angle, is equal to the similar, and similarly described figures upon the sides containing the right angle.
Seite 39 - 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 sidef. For any rectilineal figure ABCDE can be divided into as many triangles as the figure has sides, by drawing straight lines from a point F within the figure to each of its angles.
Seite 180 - Therefore, universally, similar rectilineal figures are to one another in the duplicate ratio of their homologous sides.
Bibliografische Informationen
| Titel | The Elements of Euclid: 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. viz. the first six books, together with the eleventh and twelfth |
| Autor/in | Robert Simson |
| Verlag | Mathew Carey, and sold by J. Conrad & Company, S. F. Bradford, Birch & Small, and Samuel Etheridge. Printed by T. & G. Palmer, 116, High-Street., 1806 |
| Original von | University of Michigan |
| Digitalisiert | 11. Juni 2007 |
| Länge | 518 Seiten |
| Zitat exportieren | BiBTeX EndNote RefMan |