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1
Elements of Geometry and Trigonometry: With Notes
Now if a third parallelepipedon be conceived, having for its lower base the same
ABCD, and NOPQ for its upper, this third parallelepipedon will (9- VI.) be equal to
the parallelepipedon AG, since with the same lower base, their upper bases lie ...
Adrien Marie Legendre, 1822
The Parallelepipedon A to the Parallelepipedon B, is in triplicate Ratio of that of
the Line A to the Line B, or of that of the Line C to the Line D. Now the
Parallelepipedon C to the Parallelepipedon D, is also in triplicate Ratio of that of
C to D (by ...
3
John Gay, Or Work for Boys: Work for Winter
CHAPTER VIII. PARALLELEPIPEDONS. " Now," said John, when he and Benny
first sat down to their work, " I have got to see whether I can make a
parallelepipedon." " A what ? " said Benny. " A parallelepipedon," replied John, "
a rectangular ...
4
Euclide's Elements: The Whole Fifteen Books Compendiously ...
b 29. in' L t l. ax. is For (a) if from' equal rifinesAFMEDI, GBLH1 CK, the o'om'm'
onprism NB PCI he taken away, and the solid AGNEHP_he added, the
Parallelepipedon AGHEFBCDIhKfl be &AGHEMLKL Which 'Hid-V t' be
dmrzstrand: ' ,_,_.
Euclid, Isaac Barrow, Archimedes, 1751
5
Elements of Geometry: With Their Application to the ...
let the solid to be measured, be the rectangulat parallelepipedon AF, and let the
cube P, whose fide is one inch, be the measuring omit; also let the length AB, of
the base AC, be 4 inches, the breadth BC 2 inches, and the altitude AH of the ...
6
The six first, together with the eleventh and twelfth books ...
Altitude C D, or ? Inches, will produce 6 o Cubick Inches, for the Solidity of the
Right angled Parallelepipedon A C- For as a Red-angle, fo alfo is a Right-
ParaUclepipedon A C, produced of the Bafe A D, drawn into the Altitude C D.
Therefore ...
7
Euclid's Elements of geometry, the first six, the eleventh ...
But the altitude of the pyramid defh is the fame as the altitude of the solid
parallelepipedon ehfo; and the altitude of the pyramid abcg the fame as the
altitude of the solid parallelepipedon bgml: Therefore as the base b m is to the
base E p, so is ...
8
Euclid's Elements of Geometry: The First Six, the Eleventh ...
w It might be better to fay, If three right lines be proportional, the solid
parallelepipedon, whose three sides are those fhree right lines, will be equal to
the (olid parallelepipedon, whose side is the mean line, being equilateral and
equiangular to ...
Euclides, David Gregory, 1765
9
The Science of Mechanics
The weight sub'lcted to t e acof this parallelepipedon is therefore ad}; s, where s
is tionofgravits specific gravity. If the paral- nylelepipedon do not sink, this is
possible only on the condition that a greater pressure is exerted on the i'tfl'l' lower
...
10
The Elements of Euclid [book 1-6, 11,12] explain'd, in a ...
Line C to the Line D. But the Parallele- pipedon C to the Parallelepipedon D is
also in the triplicate proportion of -that of the Line C to the Line D, (by the 33.)
Therefore the Parallelepipedon A has the fame proportion to the
Parallelepipedon B, ...
Euclides, Claude François Milliet de Chales, 1726
