The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid |
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Σελίδα 4
This definition is redundant. If the general definition annexed to the 34th Prop, of this book be considered, the square is only a species of parallelogram, viz., that which has one angle a right angle, and the aides which contain it ...
This definition is redundant. If the general definition annexed to the 34th Prop, of this book be considered, the square is only a species of parallelogram, viz., that which has one angle a right angle, and the aides which contain it ...
Σελίδα 98
This is the most important definition of the Fifth Book . Upon it , as a hinge or centre , turns the whole doctrine of proportion delivered in this Book , and applied in the sixth and subsequent Books . Volumes have been written to ...
This is the most important definition of the Fifth Book . Upon it , as a hinge or centre , turns the whole doctrine of proportion delivered in this Book , and applied in the sixth and subsequent Books . Volumes have been written to ...
Σελίδα 154
DEFINITIONS I. A SOLID is that which hath length , breadth , and thickness . A solid is extension in any three ... This definition simply signifies that the boundaries of solids are surfaces . III . A straight line is perpendicular ...
DEFINITIONS I. A SOLID is that which hath length , breadth , and thickness . A solid is extension in any three ... This definition simply signifies that the boundaries of solids are surfaces . III . A straight line is perpendicular ...
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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