 | Popular educator - 1854 - 922 σελίδες
...tiungles are equal to twice as many right anales as the figure has sides. Therefore all the angles of the figure together with four right angles are equal to twice as many right ung'es as the figure has sides. Corollary 2. All the exterior angles of any rectilineal figure, made... | |
 | E. W. Beans - 1854 - 114 σελίδες
...taken. If the entire survey has been made as above directed, the sum of all the internal angles will be equal to twice as many right angles as the figure has sides, diminished by four right angles. If this sum, as in practice will be likely to be the case, should... | |
 | Charles Davies - 1854 - 436 σελίδες
...triangles in the figure ; that is, as many times as there are sides, less two. But this product is equal to twice as many right angles as the figure has sides, less four right angles. Cor. 1. The sum of the interior angles in a quadrilateral is equal to two right... | |
 | Euclides - 1855 - 270 σελίδες
...triangles are equal to twice as many right angles as the figure has sides. Therefore all the angles of the figure together with four right angles are equal to...twice as many right angles as the figure has sides. СOR. 2. — All the exterior angles of any rectilineal figure, made by producing the sides successively... | |
 | William Mitchell Gillespie - 1855 - 436 σελίδες
...proposition of Geometry, that in any figure bounded by straight lines, the sum of all the interior angles is equal to twice as many right angles, as the figure has sides less two ; since the figure can be divided into that number of triangles. Hence this common rule. "... | |
 | Cambridge univ, exam. papers - 1856 - 200 σελίδες
...also be equal. Prove this also without construction, by superposition. 3. Prove that all the internal angles of any rectilineal figure, together with four...twice as many right angles as the figure has sides; and that all the external angles are together equal to four right angles. In what sense are these propositions... | |
 | Euclides - 1856 - 168 σελίδες
...vertex of the triangles ; that is, together with four right angles. Therefore all the angles of the figure, together with four right angles, are equal...twice as many right angles as the figure has sides. XVI. If two triangles have two sides of the one equal to two sides of the other, each to each, and... | |
 | 1856 - 428 σελίδες
...triangles thus formed are equal to all the angles of the figure (Const.) ; therefore all the angles of the figure, together with four right angles, are equal to twice as many right angles as the figure nas sides (Лх. 1). QED The demonstration of Euclid's Cor. II. viz. "that all the pxterior angles... | |
 | Isaac Sharpless - 1879 - 282 σελίδες
...But ACD+ACB = 2R; BAC+ABC+ACB = 2R. Corollary 1.—All the interior angles of a polygon are together equal to' twice as many right angles as the figure has sides, minus four right angles. Let ABODE be a polygon, and let n represent the number of its sides. Draw... | |
 | Oxford univ, local exams - 1880 - 396 σελίδες
...explain what you mean by a straight line touching a circle, and by a straight line placed in a circle. 2. All the interior angles of any rectilineal figure,...twice as many right angles as the figure has sides. 3. If the square described on one side of a triangle be equal to the squares described on the other... | |
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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. 
