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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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The college Euclid: comprising the first six and the parts of the eleventh ...

Euclides - 1865
...and likewise the two interior angles upon the same side together equal to two right angles. Prop. 30. Straight lines which are parallel to the same straight line, are parallel to each other. Prop. 31. To draw a straight line through a given point parallel to a given straight line....
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 páginas
...equal to two right angles. [Axiom 1. Wherefore, if a straight line &c. QED PROPOSITION 30. THEOREM. Straight lines which are parallel to the same straight line are parallel to each other. Let AB, CD be each of them parallel to EF: AB shall be parallel to CD. Let the straight...
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Elementary Geometry, Volumen1

James Maurice Wilson - 1868
...meet however far they were produced;. since if they met they would have different directions. (3) That straight lines which are parallel to the same straight line are parallel to one another. For straight lines which are parallel to the same straight line have the same direction as that line,...
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Elements of geometry, containing the first two (third and fourth ..., Parte1

Euclides - 1871
...line, drawn through the point of bisection to meet the two lines, will be bisected in that point. SE Straight lines which are parallel to the same straight line are parallel to one another. 0 -fa -J> Let the st. lines AB, CD be each || to EF. Then must AB be II to CD. Draw the st. line GH,...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1872 - 349 páginas
...point of bisection to meet the two lines, will be bisected in that point. PROPOSITION XXX. THEOREM. Straight lines which are parallel to the same straight line are parallel to one another. / 7LI JDLet the st. lines AB, CD be each || to EF. Then must AB be II to CD. Draw the si line GH, cutting...
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The first and second books of Euclid explained to beginners, by C.P. Mason

Euclid, Charles Peter Mason - 1872
...it might be shown that the ^ HLD is equal to the ^ LFB, and the £ HLCtothe £ LFA, PBOPOSITION XXX. Straight lines which are parallel to the same straight line are parallel to each other. To prove this proposition we must know, — 1. That magnitudes which are equal to the same...
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Geometry, mensuration and the stereometrical tableau: lecture read before ...

Charles P. Florent Baillairgé - 1873 - 44 páginas
...perpendiculars and parallels may be easily deduced as corollaries from the definitions. Proposition 30 that straight lines which are parallel to the same straight line are parallel to one another need be nothing more than an axiom or a corollary thereto, for this very parallelism is defined to...
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - 1873
...BGH, are equal to two right angles; therefore also BGH, GHD, are equal to two right angles. XXX. — Straight lines which are parallel to the same straight line are parallel to each other. Let AB, CD, be each of them parallel to EF ; AB is also parallel to CD, Let the straight...
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Euclidian Geometry

Francis Cuthbertson - 1874 - 349 páginas
...in H. Then / s ABC, DEFarz each = i DHG, and are therefore equal to one another. PROPOSITION XXII. Straight lines which are parallel to the same straight line are parallel to one another. Ae c Let the straight lines A, B be each of them || to C, Then shall A, B be | | to one another. For...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874
...eyual to two right angles (Ax. 1). Wherefore, if a straight line, &c. QED PROPOSITION 30. — Theorem. Straight lines which are parallel to the same straight line are parallel to each other. Let the straight lines AB, CD, be each of them parallel to EF. Then shaU AB be also parallel...
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