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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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Euclid Revised: Containing the Essentials of the Elements of Plane Geometry ...

Euclid - 1890 - 400 páginas
...+ BSR = ASR + BSR, = two rt. A 8. AA Similarly SRC + ASR = two rt. A". Proposition 30. THEOREM — Straight lines which are parallel to the same straight line are parallel to each otfier. Let st. lines AB, CD be each || to PQ. Draw XY across them, meeting AB, PQ, CD in _ f...
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Rider Papers on Euclid: Books i and Ii, Graduated and Arranged in Order of ...

Rupert Deakin - 1891 - 79 páginas
...same side ; and also the two interior angles on the same side together equal to two right angles. 30. Straight lines which are parallel to the same straight line are parallel to one another. 31. To draw a straight line through a given point parallel to a given straight line. 32. If a side...
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A Text-book of Geometrical Deductions: Book I [-II] Corresponding ..., Libro 1

James Andrew Blaikie, William Thomson - 1891
...the two interior angles on the same side of the cutting line together equal to two right angles. 30. Straight lines which are parallel to the same straight line are parallel to each other. 31. Through a given point, to draw a straight line parallel to a given straight line. 32....
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Plane and Solid Geometry

William James Milne - 1899 - 384 páginas
...the given line. In what direction do these two lines extend with reference to each other? Theorem. Straight lines which are parallel to the same straight line are parallel to each other. ' Data: Any straight lines, as AB A (75 B and CD, each parallel to another c /' D straight...
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Mathematics: Mechanic's bids and estimates. Mensuration for beginners. Easy ...

Seymour Eaton - 1899 - 340 páginas
...perpendicular lines drawn to parallel lines are themselves parallel. Lesson No. 15 PROPOSITION 30. THEOREM Straight lines which are parallel to the same straight line are parallel to each other. Let AB and CD be each of them parallel to EF; then AB shall be parallel to CD. Proof: Because...
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Plane Geometry

William James Milne - 1899 - 242 páginas
...the given line. In what direction do these two lines extend with reference to each other ? Theorem. Straight lines which are parallel to the same straight line are parallel to each other. Data: Any straight lines, as AB A and CD, each parallel to another c straight line, as...
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A Text-book of Euclid's Elements for the Use of Schools, Books I.-IV., Libro 1

Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 304 páginas
...Propositions, dealing with parallel straight lines, depends on Axiom 12 ? Furnish an alternative proof. 3. Straight lines which are parallel to the same straight line are parallel to one another [Prop. 30]. Deduce this from Playfair's Axiom. 4. Define a parallelogram, an altitude of a triangle,...
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The School World, Volumen3

1901
...angle and name the different kinds of angles. Describe an ancle equal to a givtn angle. (4) S' might lines which are parallel to the same straight line are parallel to one another. Two straight lines are drawn parallel to the base of an isosceles triangle ; show that the segments...
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Elementary Geometry: Practical and Theoretical

Charles Godfrey, Arthur Warry Siddons - 1903 - 355 páginas
...are acute. (iii) London Bridge is a stone bridge. (iv) A nigger is a man with woolly hair. THEOREM 6. Straight lines which are parallel to the same straight line are parallel to one another. ~T fig. 89. Data AB, CD are each || to XY. To prove that AB is || to CD. Construction Draw a st. line...
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A Text-book of Euclid's Elements for the Use of Schools, Libro 1

Euclid - 1904 - 456 páginas
...angle GHD ; that is, the alternate angles AGH, GHD are equal. QED /^ / /£ PROPOSITION 30. THEOREM. Straight lines which are parallel to the same straight line are parallel to one another. J K/ F/ Let the straight lines AB, CD be each parallel to the straight line PQ. Then shall AB and CD...
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