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" If from a point, without a parallelogram, there be drawn two straight lines to the extremities of the two opposite sides, between which, when produced, the point does not lie, the difference of the triangles thus formed is equal to half the parallelogram.... "
Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ... - Page 123
by Miles Bland - 1819 - 377 pages
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852 - 152 pages
...opposite sides or opposite angles of a quadrilateral figure be equal, the figure will be a parallelogram. The two triangles, formed by drawing straight lines...opposite sides, are together half of the parallelogram. If two sides of a trapezium be parallel, its area is equal to half that of a parallelogram whose base...
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The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860 - 332 pages
...described upon the other two sides of it, the angle contained by these two sides is a right angle. 9. The two triangles, formed by drawing straight lines...the extremities of two opposite sides, are together equal to half the parallelogram. PBELIMINAKY GENERAL EXAMINATION. Midsummer, 1868. WEDNESDAY, June...
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Elements of Geometry, and Plane and Spherical Trigonometry: With Numerous ...

Horatio Nelson Robinson - Geometry - 1860 - 470 pages
...14. The three straight lines which bisect the three angles of a triangle, meet in the same point. 15. The two triangles, formed by drawing straight lines from any point within a parallelogram to the extremi ties of two opposite sides, are, together, one half the parallelogram. 16. The figure formed...
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Elements of Geometry, and Plane and Spherical Trigonometry: With Numerous ...

Horatio Nelson Robinson - Conic sections - 1865 - 474 pages
...14. The three straight lines which bisect the three angles of a triangle, meet in the same point. 15. The two triangles, formed by drawing straight lines...extremities of two opposite sides, are, together, one half the parallelogram. 16. The figure formed by joining the points of bisection of the sides of...
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Elements of Geometry, Plane and Spherical: With Numerous Practical Problems

Horatio Nelson Robinson - Geometry - 1868 - 276 pages
...14. The three straight lines which bisect the three angles of a triangle, meet in the same point. 15. The two triangles, formed by drawing straight lines...extremities of two opposite sides, are, together, one half the parallelogram. 16. The figure formed by joining the points of bisection of the sides of...
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Aristophanes

Aristophanes - 1868 - 216 pages
...does not lie, the difference of the triangles thus formed is equal to half the parallelogram. Ex. 2. The two triangles, formed by drawing straight lines...point within a parallelogram to the extremities of ita opposite sides, are together half of the parallelogram. [J. HAMBLIN SMITH'S GEOMETRY— See Page...
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The Acharnians: The Knights

Aristophanes - 1870 - 264 pages
...of the triangles thus formed is equal to half the parallelogram. Ex. 2. The two triangles, fonr.ad by drawing straight lines from any point within a parallelogram to the extremities of its opposite sides, are together half of the parallelogram. [J. HAMBLIN SMITH'S GEOMETRY— See Page...
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Elements of geometry, containing the first two (third and fourth ..., Part 1

Euclides - 1871 - 136 pages
...does not lie, the difference of the triangles thus formed is equal to half the parallelogram. Ex. 2. The two triangles, formed by drawing straight lines...point within a parallelogram to the extremities of its opposite sides, are together half of the parallelogram. 5—2 To describe a parallelogram that...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...does not lie, the difference of the triangles thus formed is equal to half the parallelogram. Ex 2. The two triangles, formed by drawing straight lines...point within a parallelogram to the extremities of its opposite sides, are together half of the parallelogram. PROPOSITION XLII. PROBLEM. To describe...
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History of French Literature

Jacques Claude Demogeot - French literature - 1874 - 408 pages
...does not lie, the difference of the triangles thus formed is equal to half the parallelogram. Ex. 2. The two triangles, formed by drawing straight lines...point within a parallelogram to the extremities of its opposite sides, are together half of the parallelogram. [Specimen Page, No. 9.] CARBONIC ANHYDRIDE....
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