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" Therefore all the interior angles of the figure, together with four right angles, are equal to twice as many right angles as the figure has sides. "
Euclid's Elements of Geometry: The Six First Books. To which are Added ... - Σελίδα 42
των Rev. John Allen - 1822 - 494 σελίδες
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Surveying as Practised by Civil Engineers and Surveyors: Including the ...

John Whitelaw - 1916 - 582 σελίδες
...measurements before leaving the ground, as " the sum of the interior angles of any rectilinear figure is equal to twice as many right angles as the figure has sides, less four right angles." In the case of Fig. 73, as the figure is four-sided the sum of the interior...

The Founder's Manual: A Presentation of Modern Foundry Operations, for the ...

David Wells Payne - 1917 - 724 σελίδες
...to corresponding angles are proportional. (6) In any polygon, the sum of all the interior angles is equal to twice as many right angles as the figure has sides, less four right angles. (7) In any polygon the sum of all the exterior angles is equal to four right...

A Text-book of Theodolite Surveying and Levelling: For the Use of Students ...

James Park - 1922 - 598 σελίδες
...iii . . . . 141 12 iv .... 66 40 Total . 360° 00' And the sum of the internal angles of a polygon is equal to twice as many right angles as the figure has sides, less four right angles. Our figure has four sides, .-. 90(4x2) -(4x90) =360°, which agrees with the...

Surveying as Practised by Civil Engineers and Surveyors, Including the ...

John Whitelaw - 1924 - 642 σελίδες
...measurements before leaving the ground, as " the sum of the interior angles of any rectilinear figure is equal to twice as many right angles as the figure has sides, less four right angles." In the case of Fig. 73, as the figure is four-sided the sum of the interior...

The Transactions of the Canadian Mining Institute, Τόμος 15

Canadian Mining Institute - 1912 - 778 σελίδες
...know from Euclid that the sum of the interior angles of any closed figure bounded by straight lines is equal to twice as many right angles as the figure has sides less four right angles; figure A has 12 sides, therefore, the interior angles are equal to 20 right...

On Intelligence

Hippolyte Taine - 1998 - 596 σελίδες
...by 9. Every convex polygon contains a number of angles which, together with four right angles, are equal to twice as many right angles as the figure has sides. Here are two laws in which the first datum is a sum of separable data; in fact, the written number...
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