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Bøker Bok 110 av 45Any Two Sides of a Spherical Triangle are together Greater than the Third.
" Any Two Sides of a Spherical Triangle are together Greater than the Third. "
A Course of Mathematics ...: Composed for the Use of the Royal Military ... - Side 80
av Charles Hutton - 1811
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An Introduction to the Theory and Practice of Plane and Spherical ...

Thomas Keith - 1810 - 420 sider
...distant from the angular point, for CB, and not IH, is the measure of the angle BAC, PROPOSITION IV. (S) Any two sides of a spherical triangle are together greater than the third side. DEMONSTRATION. Let ABC be the spherical triangle, AJ| and EC together, are greater than, AC....
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A Course of Mathematics ...: For the Use of Academies, as Well as ..., Volum 2

Charles Hutton - 1816
...premised and comprehended, the student may pass to the consideration of the following theorems. THEOREM I. Any Two Sides of a Spherical Triangle are together...proposition Is a necessary consequence of the truth, lhat the shortest distance between any two points, measured on the surface of the sphere, is the arc...
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A Course of Mathematics: In Two Volumes. For the Use of Academies ..., Volum 2

Charles Hutton - 1818
...premised and comprehended, the student may pass to the consideration of the following theorems. THEOREM I. Any Two Sides of a Spherical Triangle are together...truth, that the shortest distance between any two point«, measured on the surface of the sphere, is the arc of a great circle passing through these...
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A treatise on navigation, and nautical astronomy

Edward Riddle - 1824
...angles are equal, the angle EDB is equal to the angle EDC, therefore AC is equal to A B. PROPOSITION V. Any two sides of a spherical triangle are together greater than the third side. Let AB С be a spherical triangle, and letD be the centre of the sphere, join AD, BD, and С...
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An Introduction to the Theory and Practice of Plain and Spherical ...

Thomas Keith - 1826 - 442 sider
...187-), and DE is the hypothenuse, being the supplement of the angle в (S. 136.) PROPOSITION v. (Y) Any two sides of a spherical triangle are together greater than the third side. DEMONSTRATION. Let ABC be a spherical triangle, any two sides AC and вс, are together greater...
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An Analytical Treatise on Plane and Spherical Trigonometry, and the Analysis ...

Dionysius Lardner - 1828 - 317 sider
...'SECTION II. Of spherical triangles . • • • • 73 (126.) Definition of a spherical triangle. (127.) Any two sides of a spherical triangle are together greater than the third side. (128.) Cor. The difference of any two sides is less than the third side. (129.) The sum of the...
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A concise system of mathematics

Alexander Ingram - 1830
...spherical triangle be equal to one another, the sides opposite to them are also equal. PROP. VIII. Any two sides of a spherical triangle are together greater than the third side, and the difference of any two sides is less than the third. Cor. The arc which passes through...
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Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - 1830 - 272 sider
...same point, the sum of all the angles about that point will be equal to four right angles. PROP. 9. Any two sides of a spherical triangle are together greater than the third fide ; and any side of a spherical triangle ig greater than the difference of the other two. Let А...
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A Course of Mathematics: For the Use of Academies, as Well as ..., Volum 2

Charles Hutton - 1831
...premised and comprehended, the student may pass to the consideration of the following theorems. THEOREM I. Any two sides of a spherical triangle are together greater than the third. This proposition is n necessary consequence of the truth, that the shortest distance between any two points, measured on...
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Library of Useful Knowledge: Geometry, plane, solid, and spherical [by ...

1835
...such relations exist as would render the expressions of any of the remaining parts impossible. (A.) Any two sides of a spherical triangle are together greater than the third, and all three sides together are less than a whole, circle. In this proposition we must remember (5)...
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