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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The propositions are of two kinds , pro- blems and theorems . In a problem something is required to be done ; in a theorem some new principle is asserted to be true . A proposition consists of various parts . We have first the general ...
The propositions are of two kinds , pro- blems and theorems . In a problem something is required to be done ; in a theorem some new principle is asserted to be true . A proposition consists of various parts . We have first the general ...
Seite 9
THEOREM . If two triangles have two sides of the one equal to two sides of the other , each to each , and have also the angles contained by those sides equal to one another , they shall also have their bases or third sides equal ...
THEOREM . If two triangles have two sides of the one equal to two sides of the other , each to each , and have also the angles contained by those sides equal to one another , they shall also have their bases or third sides equal ...
Seite 10
THEOREM . The angles at the base of an isosceles triangle are equal to one another ; and if the equal sides be produced the angles on the other side of the base shall be equal to one another . Let ABC be an isosceles triangle , having ...
THEOREM . The angles at the base of an isosceles triangle are equal to one another ; and if the equal sides be produced the angles on the other side of the base shall be equal to one another . Let ABC be an isosceles triangle , having ...
Seite 12
THEOREM . If two angles of a triangle be equal to one another , the sides also which subtend , or are oppo- site to , the equal angles , shall be equal to one another . Let ABC be a triangle , having the angle ABC equal to the angle ACB ...
THEOREM . If two angles of a triangle be equal to one another , the sides also which subtend , or are oppo- site to , the equal angles , shall be equal to one another . Let ABC be a triangle , having the angle ABC equal to the angle ACB ...
Seite 18
THEOREM . The angles which one straight line makes with another straight line on one side of it , either are two right angles , or are together equal to two right angles . Let the straight line AB make with the straight line CD , on one ...
THEOREM . The angles which one straight line makes with another straight line on one side of it , either are two right angles , or are together equal to two right angles . Let the straight line AB make with the straight line CD , on one ...
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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 |