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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 115
των Miles Bland - 1821 - 438 σελίδες
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Easy Latin passages. Key

George Lovett Bennett - 1878 - 164 σελίδες
...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. ' MATHEMATICAL SERIES— GEOMETRY. See...

A KEY TO EXERSICE ON THE ELEMENTARY PRINCIPLES OF LATIN PROSE COMPOSITION

J. HAMBLIN SMITH, M.A - 1878 - 140 σελίδες
...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. SCIENCE AY CUT S tâotuny. Adapted to Home...

Books i. ii of the Aeneid of Vergil, ed. with notes by F. Storr

Publius Vergilius Maro - 1878 - 190 σελίδες
...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. [RIVINGTON'S MATHEMATICAL SERIES — GEOMETRY.]...

An Elementary Greek Grammar

James Hamblin Smith - 1878 - 214 σελίδες
...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. [RiviNGTON's MATHEMATICAL SERIES— GEOMETRY.]...

First Latin writer. Key

George Lovett Bennett - 1878 - 174 σελίδες
...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. [RIVINGTONS' MATHEMATICAL SERIES — GEOMETRY....

Exercises Contained in Wentworth's Geometry: With Key, Followed by a ...

George Albert Wentworth - 1879 - 196 σελίδες
...Let A AED = &BEC; /.A ABD = A ABC; :. AB is II to CD. Ex. 40. 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. Through given point E, draw FEGII to AB; then A AEB = \ O AG, and A CED = \ d DC...

Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - 506 σελίδες
...squares on the sides. (Note.— Apply Euc. II. 12, 13.) *(S3) 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. * (54) The sum of the squares on the sides of any quadrilateral figure is equal...

Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - 474 σελίδες
...length of F is less than the perpendicular distance between the two parallel straight lines. * (u) Two triangles formed by drawing straight lines from...point within a parallelogram to the extremities of its opposite sides, are together half of the parallelogram. * (12) Describe a square which shall be...

A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - 1879 - 44 σελίδες
...same parallels, the parallelogram shall be double of the triangle. Same proposition. Hence deduce that two triangles formed by drawing straight lines from...point within a parallelogram to the extremities of its opposite sides, are together half of the parallelogram. Propositions XLIL-XLVHL (inclusive). 42....

The pupil teachers' handy mathematical and grammatical question-book, with key

Pupil teachers - 1880 - 1486 σελίδες
...same parallels, the parallelogram shall be double of the triangle. Same proposition. Hence deduce that two triangles formed by drawing straight lines from...point within a parallelogram to the extremities of its opposite sides, are together hall of the parallelogram. Propositions XLH-XLVHI. (inclusive). 42.To...




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