 For example, the sum of the angles of a quadrilateral is four right angles ; of a pentagon, six right angles ; of a hexagon, eight right angles, etc.  Algebra: First Course - Page 26by Edith Long, William Charles Brenke - 1913 - 283 pagesFull view - About this book
 | Elias Loomis - Conic sections - 1849 - 252 pages
...angles. Hence the sum of the exterior angles must be equal to four right angles (Axiom 3). Cor. 1. The sum of the angles of a quadrilateral is four right angles ; of a pentagon, six right angles; of a hexagon, eight, &c. PROPOSITION XXIX. THEOREM. The opposite... | |
 | Elias Loomis - Conic sections - 1858 - 256 pages
...are equal to twice as many right angles as the figure has sides, wanting four right angles. Cor. 1. The sum of the angles of a quadrilateral is four right angles ; of a pentagon, six right angles ; of a hexagon, eight, &c. Cor. 2. All the exterior angles of a polygon... | |
 | William Chauvenet - Geometry - 1871 - 380 pages
...that is, twice as many right angles as the polygon has sides, less four right angles. For example, the sum of the angles of a quadrilateral is four right angles ; of a pentagon, six right angles ; of a hexagon, eight right angles, etc. 4 101. Corollary II. If... | |
 | Edward Olney - Geometry - 1872 - 562 pages
...transposition, CBD — A = C, and CBD — C = A. 107 OF QUADRILATERALS. PROPOSITION V. 233. Theorem. — The sum of the angles of a quadrilateral is four right 'angles. DEM.— Let ABCD be any quadrilateral ; then DAB + ABC + BCD + CDA = four right angles. For, draw either... | |
 | Edward Olney - Geometry - 1872 - 472 pages
...transposition, CBD — A = C, and CBD — C = A. 107 OF QUADRILATERALS. PROPOSITION T. 233. Theorem. — The sum of the angles of a quadrilateral is four right angles. DEM. — Let ABCD be any quadrilateral ; then DAB + ABC + BCD + CDA = four right angles. For, draw... | |
 | William Chauvenet - Mathematics - 1872 - 382 pages
...that is, twice as many right angles as the polygon has sides, less four right angles. For example, the sum of the angles of a quadrilateral is four right angles ; of a pentagon, six right angles ; of a hexagon, eight right angles, etc. 4 101. Corollary II. If... | |
 | Elias Loomis - Conic sections - 1877 - 458 pages
...polygons (Def. 37), each re-ente'ring angle is to be regarded as greater than two right angles. Cor. The sum of the angles of a quadrilateral is four right angles ; of a pentagon, six right angles ; of a hexagon, eight, etc. PROPOSITION XXIX. THEOREM. If all the... | |
 | Wooster Woodruff Beman - Geometry - 1880 - 132 pages
...angles. The sum of the angles of a triangle has been shown to be two right angles in FIG. 53. That the sum of the angles of a quadrilateral is four right angles, may be seen from FIG. 29 a. 3. Since the sum of the angles is eight right angles, each is equal to... | |
 | Edward Olney - Geometry - 1883 - 352 pages
...triangle, the base is the side to which the altitude is perpendicular. PROPOSITION V. 241. Theorem. — The sum of the angles of a quadrilateral is four right angles.* DEMONSTRATION. Let ABCD be any quadrilateral. We are to prove that DAB + B + BCD + D = 4 right angles.... | |
 | David Eugene Smith - Mathematics - 1900 - 340 pages
...filled by six equilateral triangles, four squares or three regular hexagons ; the sum of the interior angles of a triangle is two right angles ; the sum of the squares on the sides of a right-angled triangle equals the square on the hypotenuse, a fact known to... | |
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