The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth of EuclidCassell, Petter, and Galpin, 1859 - 212 σελίδες |
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Σελίδα 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 ...
... 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 ...
Σελίδα 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 ...
Σελίδα 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 ...
... 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 ...
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A B and CD A B C D A B is equal adjacent angles altitude angle ABC 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 A B 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