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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 ... - Σελίδα 113
των Miles Bland - 1821 - 438 σελίδες
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Papers for teachers

1880
...was again received with shouts." Euclid. — i. Euc. I. 27. 2. The two triangles, formed by drawing lines from any point within a parallelogram to the...extremities of two opposite sides, are together half the parallelogram. 3. Euc. I. 44. Algebra. — I . Multiply a — b + c — d\sy a -\-bcd, and subtract...

Moffatt's reprint of pupil teachers' questions, arranged by ed. of 'Papers ...

Moffatt and Paige - 1881 - 1880 σελίδες
...to each other ; these two straight lines shall be parallel. 2. The two triangles, formed by drawing lines from any point within a parallelogram to the...extremities of two opposite sides, are together half the parallelogram. 3. To a given straight line to apply a parallelogram, which shall be equal to a...

University local half-hour examination papers

John Robertson (LL.D., of Upton Park sch.) - 1882
...parallelogram shall be double of the triangle. 3. To describe a circle about a given square. 4. Prove that the two triangles formed by drawing straight lines...opposite sides, are together half of the parallelogram. 5. If two angles of a triangle be equal to one another, the sides also which subtend or are opposite...

Elements of Plane Geometry

Franklin Ibach - 1882 - 196 σελίδες
...non-parallel sides of a trapezoid to the middle point of the other, is equivalent to half the trapezoid. 8. The two triangles formed by drawing straight lines...point within a parallelogram to the extremities of either pair of opposite sides, are equivalent to half the parallelogram. 9. The bisector of the vertical...

Plane and Solid Geometry

Seth Thayer Stewart - 1891 - 406 σελίδες
...sum of the parallel sides, and whose altitude is the perpendicular distance between those sides. 87. The two triangles formed by drawing straight lines...opposite sides are together half of the parallelogram. 88. If a straight line be drawn from one of the acute angles of a right-angled triangle, bisecting...

Plane and Solid Geometry

Seth Thayer Stewart - 1891 - 406 σελίδες
...between those sides. 87. Two of the triangles formed by drawing straight lines from any point without a parallelogram to the extremities of two opposite sides are together half of the parallelogram. 88. If a straight line be drawn from one of the acute angles of a right-angled triangle, bisecting...

Exercises in Stewart's Plane and Solid Geometry: With Solutions for Teachers

Seth Thayer Stewart - 1893 - 225 σελίδες
...Д EFC (PI, and В. п., P. III.) ; .-., ABCD = BCFE (Ax. in.); ie, the trapezoid oi of the C3. 87. The two triangles formed by drawing straight lines...opposite sides are together half of the parallelogram. See g 2I3, Ex. 4. 88. If a straight line be drawn from one of the acute angles of a right-angled triangle,...




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