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" Fig. 121. parallel to BC, the angles of the quadrilateral AEFD are equal to those of the quadrilateral ABCD; but the proportion of the sides is different. Also, without changing the four sides... "
Euclid simplified. Compiled from the most important French works, approved ... - Page 85
by John Reynell Morell - 1875 - 16 pages
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Elements of Geometry

Adrien Marie Legendre - Geometry - 1819 - 574 pages
...proportional, or the reverse. We see, for example, that by drawing EF (Jig. 121) parallel to Fig 121. BC, the angles of the quadrilateral AEFD are equal...ABCD ; but the proportion of the sides is different. Also, without changing the four sides AB, BC, CD, AD, we can bring the points B and D nearer together,...
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Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - Geometry - 1822 - 394 pages
...be a consequence of equality among the angles of two quadrilaterals, or vice versa. It is evident, for example, that by drawing EF parallel to BC, the angles of the quadrilateral AEFD, are made equal to those of ABCD, though the proportion between the sides is different ; and, in like manner,...
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Elements of Geometry...: Translated from the French for the Use of the ...

Adrien Marie Legendre, John Farrar - Geometry - 1825 - 294 pages
...sides are proportional, or the reverse. We see, for example, that by drawing EF (fig. 121) Fig. 121. parallel to BC, the angles of the quadrilateral AEFD...ABCD; but the proportion of the sides is different. Also, without changing the four sides AB,BC, CD, AD, we can bring the points B and D nearer together,...
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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
...sides are proportional, or the reverse. We see, for example, that by drawing EF (fig. 121) Fig. 121. parallel to BC, the angles of the quadrilateral AEFD...ABCD; but the proportion of the sides is different. Also, without changing the four sides AB,BC, CD, AD, we can bring the points B and D nearer together,...
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Elements of Geometry

Adrien Marie Legendre - 1825 - 570 pages
...drawing EF (fig. 121) Fig. 121 parallel to BC, the angles of the quadrilateral AEFD are equal Geom. 8 to those of the quadrilateral ABCD; but the proportion of the sides is different. Also, without changing the four sides AB,BC, CA AD, we can bring the points B and D nearer together,...
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Elements of Geometry

Adrien Marie Legendre - Geometry - 1825 - 276 pages
...drawing EF (fig. 121) Fig. 121,. parallel to BC, the angles of the quadrilateral AEFD are equal Geom. 8 to those of the quadrilateral ABCD; but the proportion of the sides is different. Also, without changing the four sides AB,BC, CD, AD, we can bring the points B and D nearer together,...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1836 - 394 pages
...equality among the angles of two quadrilaterals, or vice versa. It is evident, for example, that H by drawing EF parallel to BC, the angles of the quadrilateral AEFD, are made equal to those of ABCD, though the proportion between the sides is different ; and, in like manner,...
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Elements of Geometry

Adrien Marie Legendre - Geometry - 1841 - 288 pages
...sides are proportional, or the reverse. We see, for example, that, by drawing EF (fig. 121) Fig. 2i. parallel to BC, the angles of the quadrilateral AEFD...equal to those of the quadrilateral ABCD ; but the propoition of the sides is different. Also, without changing the four sides AB, BC CD, AT), we can...
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Elements of Geometry and Trigonometry

Geometry - 1843 - 376 pages
...be a consequence of equality among the angles of two quadrilaterals, or vice versa. It is evident, for example, that by drawing EF parallel to BC, the angles of the quadrilateral AEFD, are made equal to those of ABCD, though the proportion between the sides is different ; and, in like manner,...
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Elements of Geometry: On the Basis of Dr. Brewster's Legendre : to which is ...

James Bates Thomson - Geometry - 1844 - 268 pages
...cannot be a consequence of equality among the angles of two quadrilaterals, or vice versa. For example, by drawing EF parallel to BC, the angles of the quadrilateral AEFD, are made equal to those of ABCD, though the proportion between the sides is different ; and, in like manner,...
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