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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 in Paragraphs: The Elements of Euclid: Containing the First Six Books ... - Page 29
by Euclid - 1845 - 199 pages
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - Geometry - 1853 - 178 pages
...parallel straight lines towards the sa/те parts are also tíiemsetves equal and parallel. LET ab, Сd be equal and parallel straight lines, and joined towards the same parts by the straight lines aС, bd; aС, bd are also equal and parallel. Join b 0 ; a,) id because ab is parallel to С d, an(lb...
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - Geometry - 1855 - 334 pages
...drawn at pleasure, cannot meet the contour of the polygon in more than two points. PROP. XXXIII. THEOR. The straight lines which join the extremities of two...parts, are also themselves equal and parallel. Let AB, Cqjfce equal and parallel straight lines, and joined towards the same partsby the straight lines AC,...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 262 pages
...angles formed at the points of meeting, are together equal to four right angles. PROP. XXXIII. THEOREM. The straight lines which join the extremities of two...parts, are also themselves equal and parallel. Let the straight lines AС, BD join the two equal and parallel straight lines AB, С D towards the same...
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Liber Cantabrigiensis, an account of the aids afforded to poor students, the ...

Robert Potts - 1855 - 1050 pages
...in c, d. Shew that abed is a parallelogram of which, two sides are parallel to two sides of ABCD. 3. The straight lines which join the extremities of two...same parts, are also themselves equal and parallel. ferences in A', S 1 , C'. Shew that the sides of triangle A'SC' pass through the other points of intersection...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 200 pages
...triangle, from any point in the line bisecting the angle between them, are equal to each other. 4. The straight lines which join the extremities of two...same parts, are also themselves equal and parallel. 5. To describe a square upon a given straight line. 6. If a straight line be divided into any two parts,...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 252 pages
...third. Shew that the two circles made use of in the construction must necessarily cut each other. 4. The straight lines which join the extremities of two...parallel straight lines towards the same parts, are themselves equal and parallel. What parallelograms have their diagonals equal ? 6. If a straight line...
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The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856 - 168 pages
...respectively to the angles of the other to which the equal sides are opposite. XXXV.— EUCLID I. 33. The straight lines which join the extremities of two...parallel straight lines towards the same parts are themselves also equal and parallel. Let AB, CD (Fig. 28) be equal and parallel straight lines joined...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 578 pages
...another upon one side of it, are either two right angles, or are together equal to two right angles. 2. The straight lines which join the extremities of two...same parts, are also themselves equal and parallel. VOLUNTARY PORTION. 1. Describe an isosceles triangle having each of the angles at the base double of...
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 pages
...exceeds the numerator by 3, and which is equal to ^ when 2 is added to the denominator. EUCLID. 1. The straight lines which join the extremities of two...same parts are also themselves equal and parallel. 2. If a straight line be bisected and produced to any point, the rectangle contained by the whole line...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 380 pages
...exterior angles of the figure are equal to four right angles, (ax. 3.) PROPOSITION XXXIII. THEOREM. The straight lines which join the extremities of two...towards the same parts by the straight lines AC, BD. Then AC, BD shall be equal and parallel. Join BC. Then because AB is parallel to CD, and BC meets them,...
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