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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. Let AB, CD be equal and parallel straight lines, and joined towards the same parts by the straight... "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Page 39
by Euclid, John Playfair - 1826 - 320 pages
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 200 pages
...in the line bisecting the angle between them, are equal to each other. 4. The straight lines which join the extremities of two equal and parallel straight...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
...circles made use of in the construction must necessarily cut each other. 4. The straight lines which join the extremities of two equal and 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
...of the other to which the equal sides are opposite. XXXV.— EUCLID I. 33. The straight lines which join the extremities of two equal and 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
...are either two right angles, or are together equal to two right angles. 2. The straight lines which join the extremities of two equal and parallel straight...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
...3, and which is equal to ^ when 2 is added to the denominator. EUCLID. 1. The straight lines which join the extremities of two equal and parallel straight...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
...figure are equal to four right angles, (ax. 3.) PROPOSITION XXXIII. THEOREM. The straight lines which join the extremities of two equal and parallel straight...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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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 pages
...triangle are together equal to a right angle. PROPOSITION XXXIII. THEOREM. The straight lines which join the extremities of two equal and parallel straight...same parts, are also themselves equal and parallel. Given AB and CD, two equal and parallel straight lines, joined towards the eame parts by the straight...
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The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860 - 332 pages
...From a given point to draw a straight line equal to a given straight line. 2. Straight lines which join the extremities of two equal and parallel straight lines towards the same parts are themselves equal and parallel. 3. Every parallelogram having one angle a right angle has all its angles...
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 pages
...angles are equal to four right angles, (ax. 3.) PROP. XXXIII.— THEOREM. The straight lines which join the extremities of two equal and parallel straight...same parts, are also themselves equal and parallel. (References— Prop. i. 4, 27, 29.) Let A I"., CD, be two equal and parallel straight lines, and joined...
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Responsions

University of Oxford - Education, Higher - 1863 - 316 pages
...perpendicular let fall on it from the opposite angle, and the acute angle. 10. The straight lines which join the extremities of two equal and parallel straight...same parts, are also themselves equal and parallel. V. Algebra. 1. If x = 4, y = 3, z = i, n = 2, what is the value of (x1 -y')-(xy)' + n(xyz) ? Simplify...
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