Somewhat later, about the time when mensuration is introduced, the squares and cubes of natural numbers must be emphasized, and very soon committed to memory.
Some art of mensuration is required in order to show us pleasures and pains in their true proportion.
Capable of being measured; susceptible of mensurationor computation.
Defn: The mensuration of plane surfaces; -- distinguished from stereometry, or themensuration of volumes.
Defn: The mensuration of such phenomena of earthquakes as can be expressed in numbers, or by their relation to the coördinates of space.
From these results the mensuration of any figure bounded by circular arcs and straight lines can be determined, e.
All exact relations pertaining to the mensurationof the circle involve the ratio of the circumference to the diameter.
They had not attained to any just mode for the mensuration of the earth; a matter of great moment to astronomy, navigation, and other branches of useful knowledge.
If it were an object of the slightest moment, perhaps liquid measurements would be more successful in ascertaining at least as much of the mensuration of the lower part of the coffer as still remains.
Would not the art of mensuration set aside these false appearances, and by revealing to us the truth, impart tranquillity to our minds and security to our lives?
Art regarded as human skill differs from science (as can from know) as a practical faculty does from a theoretical, as Technic does from Theory (as mensuration from geometry).
The mensuration of such phenomena of earthquakes as can be expressed in numbers, or by their relation to the co\'94rdinates of space.
The mensurationof figures standing on the same base.
Expence that Mr Ogilby with great exactness performed an Actual Survey and Mensuration by the Wheel of all the Principal Roads of England.
He invented a curious monochord, which was not less accurate than his clocks in the mensuration of time.
König became noted by his contributions to the scientific, especially the mathematical side of forestry, developing forest mensuration and statics.
In his “Anleitung zur Holztaxation” (1813) he gives a complete account of forest mensuration and in the part devoted to forest valuation he develops the first soil rent formula and the methods of determining the cost value of stands.
The next step was taken when Burns resolved to spend his nineteenth summer in Kirkoswald, to learn mensuration and surveying from the schoolmaster there, who was famous as a teacher of these things.
Still the mensuration went on till one day, when in the kail-yard behind the teachers house, Burns met a young lass, who set his heart on fire, and put an end to mensuration.
The mensuration of the sphere, like that of the circle, the cylinder and the cone, had not been settled in the time of Euclid.
From these results follow again the rules at present given for the mensuration of solids, viz.
Miletus, who transplanted the elementary Egyptian mensuration to Greece.
From these propositions follow all results relating to the mensuration of volumes.
To the theory of Surveying: a knowledge of all the instruments requisite for mensuration and leveling, and the principal theorems, with their application to cases occurring in mensuration.
Duodecimals also teach the mensurationof plastering, painting and glazing; which comprehend the arts of palaver and gammon, and the science of Flattery in general.
The applications of this problem to mensuration are numerous.
This form of mensurationis not of much value, however, since it places before the pupil a problem that he sees at once is fictitious, and that has no human interest.
This leads at once to the corollary that the volume of a rectangular parallelepiped equals the product of its three dimensions, the fundamental law in the mensuration of all solids.
For the mensuration of the circle they later used, as did the early Hebrews, the value [pi] = 3.
His discovery also extended to the volume of the cone, and it was his work that gave the beginning to the science of stereometry, the mensuration part of solid geometry.
The mensuration of the volume of the prism, including the rectangular parallelepiped and cube, was known to the ancients.
There is, however, a much more worthy interest than the mere mensuration of the circle, namely, the construction of such polygons as can readily be formed by the use of compasses and straightedge alone.
Evidently the selection must include the great basal propositions that are needed in mensuration and in later mathematics, together with others that are necessary to prove them.
This papyrus also contains some treatment of the mensuration of solids, particularly with reference to the capacity of granaries.
There are only four leading propositions necessary for the mensuration of the circle and the determination of the value of [pi].
In architecture and in mechanics the cylinder is constantly seen, and the mensuration of the surface and the volume is important.
These three form the foundation of trigonometry and of the mensuration of plane figures.
Illustration] In the matter of the mensuration of the circle the annexed design has some interest.
In the mensuration of plane figures, which may be boundaries of solid figures, this is particularly true.
But arithmetic and mensuration again may be subdivided with reference either to their use in the concrete, or to their nature in the abstract--as they are regarded popularly in building and binding, or theoretically by philosophers.
Burns, in his seventeenth year, was sent to Kirkoswald to study mensuration and surveying.
Was sent to the school of Hugh Rodger at Kirkoswald to learn mathematics, especially mensuration and surveying.
