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" Straight lines which are parallel to the same straight line are parallel to one another. Triangles and Rectilinear Figures. The sum of the angles of a triangle is equal to two right angles. "
Elements of Geometry: Containing the First Six Books of Euclid with a ... - Página 29
por John Playfair - 1855 - 318 páginas
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Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876
...greater base, shall be greater than the angle contained by the sides equal to them, of the other. 4s 30. Straight lines which are parallel to the same straight line are parallel to one another. . . . . . . . . . . . . . . . . 50, 33. The straight lines which join the extremities of two equal...
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Primer of geometry

Francis Cuthbertson (geometer.) - 1876
...straight lines which cut one another cannot be parallel to the same straight line. . PROPOSITION XV. Straight lines which are parallel to the same straight line are parallel to one another. AB Let the straight lines A and B be each of them parallel to C. Then shall A and B be parallel to...
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The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major
...Composition. — Write from memory the substance of the passage read to yon by the Inspector. Euclid. — 1. Straight lines which are parallel to the same straight line are parallel to each other. 2. If the square described upon one of the sides of a triangle be equal to the squares...
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First B.A. examination: University of London. A hand-book to the study of ...

J. G - 1878
...of intersection of these planes shall be parallel to each of the twogiven straight lines. Or : — Straight lines which are parallel to the same straight line are parallel to one another. (See Euclid XI., 9.) Or : — If a straight line is parallel t& two planes it is also parallel to their...
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The elements of plane geometry, from the Sansk. text of Ayra Bhatta, ed. by ...

Āryabhaṭa - 1878
...angles are equal, therefore AB and CD are parallel (P. 7). Wherefore if a straight line &c. QED Cor. Straight lines which are parallel to the same straight line are parallel to each other. PROP. ix. PROBLEIT. (E. 1. 31.) To draio through a given point a straight line parallel...
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Elements of Plane Geometry, Parte1

Thomas Hunter - 1878 - 132 páginas
...of any acute and obtuse angle will be equal to two right angles. PROPOSITION XXVIII.—THEOREM. Two straight lines which are parallel to the same straight line are parallel to each other. r to the same straight line EF; G Let AB and CD be parallel A. -f^ B then will they be...
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Moffatt's scholarship answers, by T.J. Livesey (T. Page).

Moffatt and Paige - 1879
...III.) .-. Remaining angle of the one=remaining angle of the other. SECTION III. (Three questions.) 1. Straight lines which are parallel to the same straight line, are parallel to one another. If the straight line, to which two others are parallel, lie between them, show that this property follows...
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A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - 1879 - 36 páginas
...bisected in that point 30. When are straight lines said to be parallel to each other ?" Prove that straight lines which are parallel to the same straight line are parallel to one another. 31. Draw a straight line through a given point parallel to a given straight line. From a given point...
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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879
...a greater angle. Write out the enunciations of any previous propositions employed in this proof. 3. Straight lines, which are parallel to the same straight line, are parallel to each other. If two adjacent sides of a parallelogram be parallel to two adjacent sides of another parallelogram,...
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - 1879 - 266 páginas
...be a right angle ; since they are together equal to two right angles. Proposition 28. Theorem. — Straight lines which are parallel to the same straight line are parallel to each other. Draw GHK cutting all three. Then, because AB, EF are parallel, the alternate angles AGH,...
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