The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid |
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Seite 40
A. THEOREM . - In any right angled triangle , the squares A F and A K , described on the two sides which contain the right angle B A C , may be so divided by straight lines , that the parts may be applied to the square B E described ...
A. THEOREM . - In any right angled triangle , the squares A F and A K , described on the two sides which contain the right angle B A C , may be so divided by straight lines , that the parts may be applied to the square B E described ...
Seite 82
A. THEOREM .-- If any chord of a circle be produced , till the part produced be equal to the radius of the circle ; and , if from the outward extremity of this secant , another secant be drawn through the centre of the circle ...
A. THEOREM .-- If any chord of a circle be produced , till the part produced be equal to the radius of the circle ; and , if from the outward extremity of this secant , another secant be drawn through the centre of the circle ...
Seite 112
THEOREM . Magnitudes have the same ratio to one another which their equimultiples have . Let A B be the same multiple of C , that D E is of F. C is to F , as A B is to DE . Divide A B into magnitudes , each equal to C , viz .
THEOREM . Magnitudes have the same ratio to one another which their equimultiples have . Let A B be the same multiple of C , that D E is of F. C is to F , as A B is to DE . Divide A B into magnitudes , each equal to C , viz .
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A B C ABCD altitude applied base bisected Book Cassell's centre circle circumference cloth coincide common cone Const contained Corollary cylinder definition demonstration described diagonal diameter divided double draw Edition equal equal angles equiangular equimultiples Exercise extremities fore four fourth given straight line greater half Illustrated inscribed interior join less magnitudes manner meet multiple parallel parallelogram parallelopiped pass perpendicular plane polygon prism PROBLEM produced PROP proportionals proposition proved pyramid ratio reason rectangle rectangle contained rectilineal figure remaining angle right angles segment shown sides similar solid solid angle sphere square straight lines A B taken THEOREM third touch triangle triangle ABC twice vertex Vols Wherefore whole
Bibliografische Informationen
| Titel | The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid Cassell's edition of Euclid Cassell's educational works |
| Autor/in | Euclid |
| Ausgabe | 82 |
| Verlag | Cassell, Petter, and Galpin, 1859 |
| Länge | 212 Seiten |
| Zitat exportieren | BiBTeX EndNote RefMan |