 The sum of the angles of a spherical triangle is greater than two and less than six right angles ; that is, greater than 180° and less than 540°. (gr). If A'B'C' is the polar triangle of ABC...  Solid Geometry - Σελίδα 376των George Albert Wentworth - 1899 - 218 σελίδεςΠλήρης προβολή - Σχετικά με αυτό το βιβλίο
 | 1835 - 684 σελίδες
...proposition asserted. (B.) The greater angle of a spherical triangle is opposite, to the greater side, and the sum of the angles of a spherical triangle is greater than two and less than six right angles. Also the sum of any two angles is less than the, third increased... | |
 | Benjamin Peirce - 1837 - 216 σελίδες
...— c; and the sides of the polar triangle ISO° — ,4, 180° — B, 180° — C. \ 447. Theorem. The sum of the angles of a spherical triangle is greater than two right angles. Demonstration. Let A, B, C be the angles of the spherical triangle. The sides of... | |
 | John Charles Snowball - 1837 - 322 σελίδες
...triangle, V+6'>c'; .-. (тг- А) + (тг-B)>(ж-С); .: тг>A + B-С. Or, A + B - С < тг. 21. The sum of the angles of a spherical triangle is greater than two, and less than six, right angles. Let A, B, С be the angles, and a, b, с the sides of a triangle;... | |
 | Charles William Hackley - 1847 - 248 σελίδες
...Astronomy, which, as a science of observation, depends entirely on angular measurements. PROP. XIV. The sum of the angles of a spherical triangle is greater than two and less than six right angles, For each angle is less than two (note to Prop. 8), hence the sum... | |
 | Benjamin Peirce - 1847 - 204 σελίδες
...180° — c; and the sides of the polar triangle 180° — .#, 180° — B, 180° — C. 447. Theorem. The sum of the angles of a spherical triangle is greater than two right angles. Proof. Let A, B, C be the angles of the spherical triangle. The sides of its polar... | |
 | Thomas Grainger Hall - 1848 - 192 σελίδες
...the sign of the square root appears to be a negative quantity ; but it is really positive. For since the sum of the angles of a spherical triangle is greater than two right angles, but less than six, S is always greater than 90°, and less than 270° ; and therefore... | |
 | 1852 - 478 σελίδες
...all circumstances ? What point in Reaumur's and in Centigrade scale correspond to 44° Fahrenheit. 8. The sum of the angles of a spherical triangle is greater than tno right angles, and less than six. Show that the angles at the base of an isosceles triangle are... | |
 | Bengal council of educ - 1852 - 348 σελίδες
...circumstances ? What point in Reaumur's and in Centigrade scale correspond to 44° Fahrenheit. (8.) The sum of the angles of a spherical triangle is greater than two right angles, and less than six. Show that the angles at the base of an isosceles triangle are... | |
 | Elias Loomis - 1858 - 256 σελίδες
...the angle E ; and AB is the supplement of the arc which measures the nnjrle F. PROPOSITION X. THEOREM The sum of the angles of a spherical triangle, is greater than two, and less than six right angles. Let A, B, and C be the angles of a spherical triangre. The arcs... | |
 | Elias Loomis - 1861 - 244 σελίδες
...the anglexE ; and AB is the supplement of the arc which measures the angle F. PROPOSITION X. THEOREM The sum of the angles of a spherical triangle, is greater than two, and less than six right angles. Let A, B, and C be the angles of a spherical triangle. The arcs... | |
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