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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. "
Geometry Without Axioms; Or the First Book of Euclid's Elements. With ... - Page 106
by Thomas Perronet Thompson - 1833 - 150 pages
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 pages
...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 lines towards the same parts are also themselves equal and parallel. 2. If a straight line be bisected and produced to any point, the...
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The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860 - 332 pages
...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...the same parts are themselves equal and parallel. 3. Every parallelogram having one angle a right angle has all its angles right angles. 4. (<z+6)3 =...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 380 pages
...equal to four right angles, (ax. 3.) PROPOSITION XXXIII. THEOREM. 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...
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The school Euclid: comprising the first four books, by A.K. Isbister

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

University of Oxford - Education, Higher - 1863 - 316 pages
...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 lines towards the same parts, are also themselves equal and parallel. V. Algebra. 1. If x = 4, y = 3, z = i, n = 2, what is the value...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 pages
...equal to four right angles, (ax. 3.) PROPOSITION XXXIII. THEOREM. 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...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 pages
...towards the same parts by the straight lines BE, CH; but straight lines which join the extremities of equal and parallel straight lines towards the same parts, are themselves equal and parallel ; (i. 33.) therefore BE, CH&ie both equal and parallel ; wherefore EBCHis a parallelogram, (dof. A.)...
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Half-hour examination papers, for daily use

John Robertson (LL.D., of Upton Park sch.) - Examinations - 1865 - 106 pages
...right angles or are together equal to two right angles. [KC] 39. The straight lines which join the extremities of two equal and parallel straight lines towards the same parts, are also themselves equal and parallel. [KC] EXAMINATION PAPER. MONDAY. Divinity. 84. What is contained...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 pages
...are equal to four right anglet, (ax. 3.) PROP. XXXIII.— THEOREM. The straight lines which join the extremities of two equal and parallel straight lines towards the same parts, are also themselves equal and parallel. (References— Prop. I. 4, 27, 29.) Let AB, CD, be two equal and...
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Parliamentary Papers, Volume 52

Great Britain. Parliament. House of Commons - Great Britain - 1866 - 862 pages
...three angles is greater than half the perimeter of the triangle. 4. The straight lines which join the extremities of two equal and parallel straight lines towards the same parts, are themselves also equal and parallel. 5. Along the sides of a parallelogram taken in order, if we measure Aa = Bb...
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