| George D. Pettee - 1896 - عدد الصفحات: 253
...[alt. int. A (||s)] POLYGONS PROPOSITION XXX 43 111. Theorem. The sum of the angles of a polygon is **equal to twice as many right angles as the figure has sides,** less four right angles. Appl. Cons. Dem. i> Prove A + B + C, etc. = (2 n — 4) rt. Draw diagonals... | |
| James Howard Gore - 1898 - عدد الصفحات: 210
...exterior angles is equal to twice as many right angles as the figure has sides. But by (125) the interior **angles are equal to twice as many right angles as the figure has sides,** less four right angles. Therefore the exterior angles alone are equal to four right angles. QED EXERCISES.... | |
| Henry Sinclair Hall, Frederick Haller Stevens - 1900 - عدد الصفحات: 304
...Robert Simson, who edited Euclid's text in 1756. COROLLARY 1. All the interior angles of any rectilineal **figure, together with four right angles, are equal...twice as many right angles as the figure has sides.** Let ABODE be any rectilineal figure. Take F, any point within it, and join F to each of the angular... | |
| Sidney Herbert Wells - 1900
...depends upon Corollary I. of Euclid i., 32, which says that " the interior angles of any straight lined **figure together with four right angles are equal to...twice as many right angles as the figure has sides."** The most common of the regular polygons used in engineering designs are the pentagon (five-sided),... | |
| Arthur Thomas Walmisley - 1900 - عدد الصفحات: 332
...of all the interior angles of any rectilineal figure, together with four right angles, are together **equal to twice as many right angles as the figure has sides.** In a traverse survey the number of stations should be as few as possible, and as much care should be... | |
| 1902
...that LP is less than LM. 3. Prove that the sum of the interior angles of any rectilineal figure is **equal to twice as many right angles as the figure has sides,** diminished by four right angles. 14. ABC is an equilateral triangle in which AD is drawn perpendicular... | |
| 1902 - عدد الصفحات: 516
...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... | |
| 1903
...only one. So also of questions 3 and 3 A.] 1. Show that all the interior angles of any rectilineal **figure together with four right angles are equal to...twice as many right angles as the figure has sides.** A BCD is a quadrilateral figure, and the angles at A, B, C and D are bisected. Straight lines are drawn... | |
| Alfred Baker - 1903 - عدد الصفحات: 144
...From the result reached in the previous question, show that all the interior angles of any polygon **are equal to twice as many right angles as the figure has** angles (or sides), less four right angles. 5. How many right angles is the sum of all the angles in... | |
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