 | Charles Hutton - 1811 - 404 pages
...the intersection of the semicirclesj and if the whole circles be consisidered, there will be seven other triangles formed. But the proposition only obtains...Right Angles (or 360") to the Surface of a Hemisphere} or, as Two Right Angles (or 180°) to a Great Circle of the Sphere ; so is the Excess of the three... | |
 | Charles Hutton - 1822 - 680 pages
...hemisphere), which is distinguished from the three others in this , that the two angles A and Fare situated on the same side of BC, the two B and E on the same side of AC, and the two c andD on the same side of AB. THEOREM V. In Every Spherical Triangle, the following proportion obtains... | |
 | Adrien Marie Legendre - 1822 - 394 pages
...the other three by the circumstance (see the figure in the last page) that the two angles A and D lie on the same side of BC, the two B and E on the same side of AC, and the two C and F on the same side of AB. Various names have been given to the triangles ABC, DEF ; we shall call them... | |
 | John Radford Young - 1833 - 286 pages
...distinguished from the others by the circumstance that the two angles A and D (see preceding fig.) be on the same side of BC, the two B and E on the same side of AC, and the two C and F on the same side of AB. (42.) From the foregoing proposition it follows that the three angles of... | |
 | Adrien Marie Legendre - 1836 - 394 pages
...distinguished from the other three by the circumstance (see the last figure) that the two angles A and D lie on the same side of BC, the two B and E on the same side o» AC, a#d the two C and F on the same side of AB. PROPOSITION IX. THEOREM. If around the vertices... | |
 | Adrien Marie Legendre - 1838 - 382 pages
...distinguished from the other three by the circumstance (see the last figure) that the two angles A and D lie on the same side of BC, the two B and E on the same side of AC, ajid the two C and F on the same side of AB. 'R 194 GEOMETRY. PROPOSITION IX. THEOREM, If around the... | |
 | Adrien Marie Legendre - 1839 - 372 pages
...distinguished from the other three by the circumstance (see the last figure) that the two angles A and D lie on the same side of BC, the two B and E on the same side of AC, and the two C and F on the same side of AB. R PROPOSITION IX. THEOREM. If around the vertices of the two angles of a... | |
 | Nathan Scholfield - 1845 - 894 pages
...from the other three by the circumstance (see diagram to Prop. IX.) that the two angles A and D lie on the same side of BC, the two B and E on the same side of AC, and the two C and F OH the same side of AB. Various names have been given to the triangles ABC, DEF ; we shall call them... | |
 | Nathan Scholfield - 1845 - 244 pages
...from the other three by the circumstance (see diagram to Prop. IX.) that the two angles A and D lie on the same side of BC, the two B and E on the same side of AC, and the two C and F OH the same side of AB. Various names have been given to the triangles ABC, DEF ; we shall call them... | |
 | Nathan Scholfield - 1845 - 542 pages
...from the other three by the circumstance (see diagram to Prop. IX.) that the two angles A and D lie on the same side of BC, the two B and E on the same side of AC, and the two C and F OH the same side of AB. Various names have been given to the triangles ABC, DEF ; we shall call them... | |
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... the triangle DEF, three others might be formed by the intersection of the three arcs DE, EF, DF. But the proposition immediately before us is applicable only to the central triangle, which is distinguished from the other three by the circumstance... 
