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" ... 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. "
Elements of Plane and Spherical Trigonometry: With Its Applications to the ... - Page 53
by John Radford Young - 1833 - 264 pages
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Elements of Geometry

Adrien Marie Legendre - Geometry - 1819 - 574 pages
...so of the others. 477. Sclwlium. It may be remarked that, beside the triangle DEF, three others may be formed by the intersection of the three arcs DE, EF, DF. But the proposition applies only to the central triangle, which is distinguished from the three others by this, that the...
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Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - Geometry - 1822 - 394 pages
...of D, is equal to £ clrc. — BC ; and so of all the rest. Scholium. It must farther be observed, that besides the triangle DEF, three others might...central triangle, which is distinguished from the other three by the circumstance (see the figure in the last page) that the two angles A and D lie on...
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Elements of Geometry...: Translated from the French for the Use of the ...

Adrien Marie Legendre, John Farrar - Geometry - 1825 - 280 pages
...so of the others. 477. Scholium. It may be remarked that, beside the triangle DEF, three others may be formed by the intersection of the three arcs DE, EF, DF. But the proposition applies only to the central triangle, which is distinguished from the three others by this, that the...
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Elements of Geometry

Adrien Marie Legendre - Geometry - 1825 - 276 pages
...so of the others. 477. Scholium. It may be remarked that, beside the triangle DEF, three others may be formed by the intersection of the three arcs DE, EF, DF. But the proposition applies only to the central triangle, which is distinguished from the three others by this, that the...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1836 - 394 pages
...of D, is equal to £ circ. — BC ; and so pf all the rest. Scholium- It must further be observed, that besides the triangle DEF, three others might...central triangle, which is distinguished from the other three by the circumstance (see the last figure) that the two angles A and D lie on the same side...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1838 - 382 pages
...measure of D, is equal to | circ. — BC ; and so of all the rest. Scholium. It must further be observed, that besides the triangle DEF, three others might...EF, DF. But the proposition immediately before us is applicabJe only to the central triangle, which is distinguished from the other three by the circumstance...
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Elements of Geometry

Adrien Marie Legendre - Geometry - 1841 - 288 pages
...so of the others. 477. Scholium. It may be remarked that, beside the triangle DEF, three others may be formed by the intersection of the three arcs DE, EF, DF. But the proposition applies only to the central triangle, which is distinguished from the three others by this, that the...
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A Series on Elementary and Higher Geometry, Trigonometry, and Mensuration ...

Nathan Scholfield - Conic sections - 1845 - 542 pages
...of D, is equal to £ circ. — BC ; and so of all the rest. Scholium. It must further be observed, that besides the triangle DEF, three others might...central triangle, which is distinguished from the other three by the circumstance (see diagram to Prop. IX.) that the two angles A and D lie on the same...
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Higher Geometry and Trigonometry: Being the Third Part of a Series on ...

Nathan Scholfield - Conic sections - 1845 - 244 pages
...measure of D, is equal to \ circ. — BC ; and so of all the rest. Scholium. It must further be observed, that besides the triangle DEF, three others might...central triangle, which is distinguished from the other three by the circumstance (see diagram to Prop. IX.) that the two angles A and D lie on the same...
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Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ...

Nathan Scholfield - 1845 - 894 pages
...of D, is equal to £ circ. — BC ; and so of all the rest. Scholium. It must further be observed, that besides the triangle DEF, three others might...central triangle, which is distinguished from the other three by the circumstance (see diagram to Prop. IX.) that the two angles A and D lie on the same...
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