The Elements of Euclid for the Use of Schools and Colleges: Comprising the First Six Books and Portions of the Eleventh and Twelfth Books |
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Seite 7
To describe an equilateral triangle on a given finite straight line . Let AB be the given straight line : it is required to describe an equilateral triangle on AB . A From the centre A , at the distance AB , describe the circle BCD .
To describe an equilateral triangle on a given finite straight line . Let AB be the given straight line : it is required to describe an equilateral triangle on AB . A From the centre A , at the distance AB , describe the circle BCD .
Seite 8
Let A be the given point , and BC the given straight line : it is required to draw from the point A a straight line equal to BC . ... From the centre B , at the dis- tance BC , describe the circle CGH , meeting DFat G. [ Post . 3 .
Let A be the given point , and BC the given straight line : it is required to draw from the point A a straight line equal to BC . ... From the centre B , at the dis- tance BC , describe the circle CGH , meeting DFat G. [ Post . 3 .
Seite 17
To draw a straight line perpendicular to a given straight line of an unlimited length , from a given point without it . ... Take any point D on the other side of AB , and from the centre C , at the distance CD , describe the circle EGF ...
To draw a straight line perpendicular to a given straight line of an unlimited length , from a given point without it . ... Take any point D on the other side of AB , and from the centre C , at the distance CD , describe the circle EGF ...
Seite 25
To make a triangle of which the sides shall be equal to three given straight lines , but any two whatever of ... A B- E H From the centre G , at the distance GH , describe the circle HLK , cutting the former circle at K. Join KF , KG .
To make a triangle of which the sides shall be equal to three given straight lines , but any two whatever of ... A B- E H From the centre G , at the distance GH , describe the circle HLK , cutting the former circle at K. Join KF , KG .
Seite 72
A segment of a circle is the figure contained by a straight line and the circumference it cuts off . 7. ... Let ABC be the given circle : it is required to find its centre . Draw within it any straight line AB , at D 72 EUCLID'S ...
A segment of a circle is the figure contained by a straight line and the circumference it cuts off . 7. ... Let ABC be the given circle : it is required to find its centre . Draw within it any straight line AB , at D 72 EUCLID'S ...
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ABCD AC is equal angle ABC angle BAC Axiom base bisected Book centre chord circle ABC circumference common Construction Corollary Definition demonstration describe a circle described diameter difference divided double draw drawn equal equal angles equiangular equilateral equimultiples Euclid extremities fall figure fixed formed four fourth given circle given point given straight line greater half Hypothesis inscribed intersect join less Let ABC magnitudes manner meet multiple namely opposite sides parallel parallelogram pass perpendicular plane polygon PROBLEM produced proportionals PROPOSITION Q.E.D. PROPOSITION quadrilateral radius ratio reason rectangle contained rectilineal figure remaining respectively right angles segment shew shewn sides similar square square on AC straight line drawn suppose Take taken tangent THEOREM third triangle ABC twice Wherefore whole
Bibliografische Informationen
| Titel | The Elements of Euclid for the Use of Schools and Colleges: Comprising the First Six Books and Portions of the Eleventh and Twelfth Books Cambridge school class books Macmillan's school class books |
| Autoren | Euclid, Isaac Todhunter |
| Herausgeber | Isaac Todhunter, Robert Simson |
| Ausgabe | Neuauflage |
| Verlag | Macmillan, 1886 |
| Original von | Princeton University |
| Digitalisiert | 26. Jan. 2009 |
| Länge | 400 Seiten |
| Zitat exportieren | BiBTeX EndNote RefMan |