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" THE straight lines which join the extremities of two equal and parallel straight lines, towards the same parts, are also themselves equal and parallel. "
Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ... - Page 29
by Euclides - 1845
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Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ...

Mathematics - 1835 - 684 pages
...together equal to four right angles. SECTION 4. Parallelograms. PROP. 21. (Eue. i. 33.) The straight lines which join the extremities of two equal and parallel straight lines towards the same parts, are likewise themselves equal and parallel. Let the straight fc - lines AD, В С be equal and parallel,...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1836 - 488 pages
...therefofl^all the exterior angles are equal to four right angles. jJji PROP. XXXIII. THEOR. The straight lines which join the extremities of two equal and parallel...joined towards the same parts by the straight lines of_ eD as AC, BD; AC, BD are al-A, _ B Book I. so equal and parallel. Join BC, and because AB is parallel...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

Mathematics - 1836 - 472 pages
...angles of any rectilineal figure are to. gether equal to four right angles. XXXIII. The straight lines which join the extremities of two equal and parallel...same parts, are also themselves equal and parallel. XXXIV. The opposite sides and angles of a parallelogram are equal to one another, and the diameter...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Geometry - 1837 - 332 pages
...meet the contour of the polygon in more than two points. PROP. XXXIII. THEOR. / The straight lines which join the extremities of two equal and parallel...towards the same parts by the straight lines AC, BD; AC, BD are also equal and parallel. Join BC ; and because AB is parallel to CD, and BC meets them,...
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Elements of Plane Geometry According to Euclid

Andrew Bell - Euclid's Elements - 1837 - 240 pages
...the exterior angles are equal to four right angles. PROPOSITION XXXIII. THEOREM. The straight lines which join the extremities of two equal and parallel...same parts, are also themselves equal and parallel. _Let AB, CD, be equal and parallel straight lines, and joined towards the same parts by the straight...
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid - Geometry - 1837 - 410 pages
...angle, such as the half, the fourth, the eighth, of a righi angle, and so on. D THE straight lines which join the extremities of two equal and parallel straight lines, towards the same parts,8 are also themselves equal and parallel. Let AB, CO be equal and parallel straight lines, and...
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A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - Euclid's Elements - 1837 - 112 pages
...be together = 4rt. Zs. PROPOSITION XXXIII. Theorem. The straight lines which join the extremities of equal and parallel straight lines towards the same parts are also themselves (f i> equal and parallel. Steps of the Demonstration. 1. Prove that Z ABC = Z BCD, '2. that (in A s...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Geometry - 1838 - 434 pages
...therefore all the exterior angles are equal to four right angles. PROP. XXXIII. THEOR. THE straight lines which join the extremities of two equal and parallel...towards the same parts by the straight lines AC, BD ; AC, BD are also equal and parallel. i Join BC ; and because AB is parallel to CD ; and BC meets them,...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 pages
...therefore all the exterior angles are equal to four ri^ht angles. 0 PROP. XXXIII. THEOR. The straight lines which join the extremities of two equal and parallel...parts, are also themselves equal and parallel. Let AH, CD be equal and parallel A t, straight lines, and joined towards the same parts by the straight...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 378 pages
...therefore all the exterior angles are equal to four right angles. PROP. XXXIII. THEOR. The straight lines which join the extremities of two equal and parallel...towards the same parts by the straight lines AC, BD; AC, BD shall be equal and parallel. c * Join BC; and because AB is parallel to CD, and BC meets them,...
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