The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth of EuclidCassell, Petter, and Galpin, 1859 - 212 Seiten |
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Seite 66
... diameter , & c . Q. E. D. This proposition might be proved by producing EH , cutting off the line thus produced a ... diameter passing through that point . PROP . XVI . THEOREM . If a straight line pass through one of the extremities of ...
... diameter , & c . Q. E. D. This proposition might be proved by producing EH , cutting off the line thus produced a ... diameter passing through that point . PROP . XVI . THEOREM . If a straight line pass through one of the extremities of ...
Seite 82
... diameter . PROP . D. PROBLEM . - To divide a given straight line into two parts , such that the square of one of them may be equal to the rectangle contained by the other and a given straight line . PROP . E. PROBLEM . - To draw a ...
... diameter . PROP . D. PROBLEM . - To divide a given straight line into two parts , such that the square of one of them may be equal to the rectangle contained by the other and a given straight line . PROP . E. PROBLEM . - To draw a ...
Seite 212
... diameter of the less sphere . Corollary 2. - Every face of a polyhedron inscribed in a sphere is inscribable in a ... diameter E F has to the diameter B C. But the sphere L M N is to A B C as the sphere DEF is to some sphere , which must ...
... diameter of the less sphere . Corollary 2. - Every face of a polyhedron inscribed in a sphere is inscribable in a ... diameter E F has to the diameter B C. But the sphere L M N is to A B C as the sphere DEF is to some sphere , which must ...
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Häufige Begriffe und Wortgruppen
A B and CD A B C D A B is equal adjacent angles altitude angle ABC angle B A C base B C bisected Cassell's centre circle A B C circle ABCD circumference cone cylinder D E F described diagonal diameter draw equal angles equal Ax equal Const equiangular equimultiples Euclid exterior angle given rectilineal given straight line gnomon greater homologous Illustrated inscribed join less Let A B C multiple opposite angles parallelopiped pentagon perpendicular polygon prism proposition pyramid Q. E. D. PROP rectangle contained rectilineal figure remaining angle right angles segment solid angle sphere squares of AC straight line drawn straight lines A B THEOREM three plane angles touches the circle triangle A B C triplicate ratio twice the rectangle vertex Wherefore