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" If two sides of a quadrilateral are equal and parallel, the figure is a parallelogram. "
A Treatise on Elementary Geometry: With Appendices Containing a Collection ... - Page 40
by William Chauvenet - 1898 - 368 pages
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1835 - 336 pages
...to one another, AC is parallel (19. 1.) to BD : and it was shewn to be equal to it. COR. 1. Hence, if two opposite sides of a quadrilateral are equal and parallel, the remaining sides will also be equal and parallel, and the figure •will be a parallelogram. COR. 2....
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Euclid's Elements - 1837 - 332 pages
...to one another, AC is parallel (27. 1.) to BD ; and it was shewn to be equal to it. COR. 1. Hence, if two opposite sides of a quadrilateral are equal and parallel, the remaining sides will also be equal and parallel, and the figure will be a parallelogram. COR. 2. And...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1837 - 376 pages
...is parallel to CD : therefore the quadrilateral ABCD is a parallelogram. PROPOSITION XXX. THEOREM. If two opposite sides of a quadrilateral are equal and parallel, the remaining sides will also be equal and parallel, and the figure will be a parallelogram. Let ABCD be...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1842 - 332 pages
...to one another, AC is parallel (27. 1.) to BD ; and it was shewn to be equal to it. COR. 1. Hence, if two opposite sides of a quadrilateral are equal and parallel, the remaining sides will also be equal and parallel, and the figure will be a parallelogram. COR. 2. And...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...to one another, AC is parallel (27. 1.) to BD ; and it was shewn to be equal to it. COR. 1. Hence, if two opposite sides of a quadrilateral are equal and parallel, the remaining sides will also be equal and parallel, and the figure will be a parallelogram. COR. 2. And...
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Elements of Geometry and Trigonometry Translated from the French of A.M ...

Charles Davies - Trigonometry - 1849 - 372 pages
...is parallel to CD : therefore the quadrilateral ABCD is a parallelogram. PROPOSITION XXX. THEOREM. If two opposite sides of a quadrilateral are equal and parallel, the remaining sides will also be equal and parallel, and the figure will be a parallelogram. Let ABCD be...
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Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1849 - 252 pages
...quadrilateral ABDC is a parallelogram. Therefore, if the opposite sides, &c. PROPOSITION XXXI. THEOREM. If two opposite sides of a quadrilateral are equal and parallel, the other two sides are equal and parallel, and the figurt is a parallelogram. sides AB, CD equal and parallel;...
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Elementary Geometry: With Applications in Mensuration

Charles Davies - Geometry - 1850 - 238 pages
...xiii). For a like reason DC is parallel to AB, and the figure ABCD is a parallelogram. THEOREM XXV. If two opposite sides of a quadrilateral are equal and parallel, the remaining sides will also be equal and parallel, and the fgure will be a parallelogram. Let ABCD be...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1852 - 436 pages
...is parallel to CD : therefore, the quadrilateral ABCD is a parallelogram. PROPOSITION XXX. THEOEEM. If two opposite sides of a quadrilateral are equal and parallel, the other sides are equal and parallel, and the f1gure is a parallelogram. Let ABCD be a quadrilateral,...
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Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry ...

George Roberts Perkins - Geometry - 1856 - 460 pages
...hence these sides are parallel. Consequently the figure is a parallelogram (D. XXV.). THEOREM XXX. If two opposite sides of a quadrilateral are equal and parallel, the figure is a parallelogram. In the quadrilateral ABCD, suppose AB equal and parallel to DC, then will the figure be a parallelogram....
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