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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. "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Page 43
by John Playfair - 1833 - 333 pages
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Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 pages
...that All the exterior angles of any) = Fonr rf ^ leg rectilineal figure QED PPOP. XXXIII. THEOKEM. The straight lines which join the extremities of two equal...parts, are also themselves equal and parallel. Let AB and CD be two equal and parallel straight lines, joined towards the same parts by the straight lines...
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Ten years' Queen's scholarship questions, 1870-9, with answers to arithmetic ...

Education Ministry of - 1880 - 238 pages
...any two of the given lines must be greater than the third? 4. What are parallel straight lines ? The straight lines which join the extremities of two equal...same parts, are also themselves equal and parallel. 5. What is a parallelogram ? Describe a parallelogram which shall be equal to a given triangle, and...
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Report on the Training Systems for the Navy and Mercantile Marine of England ...

French Ensor Chadwick - Merchant marine - 1880 - 222 pages
....0007, 3.5, and 200,000. SENIOR PUPIL TEACHERS— SIXTH YEAR. EUCLID. (Time allowed, 3 hours. ) 1. The straight lines which join the extremities of two equal...same parts are also themselves equal and parallel. 2. To divide a given straight line into two parts so that the rectangle contained by the whole and...
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Examination papers, and division lists, &c. [afterw.] General certificate of ...

Oxford univ, local exams - 1880 - 396 pages
...contained by the whole and each of the parts, are together equal to the square on the whole line. 4. The straight lines which join the extremities of two equal...same parts, are also themselves equal and parallel. 5. If a straight line be divided into any two parts, the sqTtares on the whole line and on one of the...
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First principles of Euclid: an introduction to the study of the first book ...

T S. Taylor - 1880 - 152 pages
...Second Repeat. — The enunciations of Euc. I. 4 ; I. 27; I. 29 ; and Axiom 2a. General*Enunciation. The straight lines which join the extremities of two equal...parallel straight lines towards the same parts, are themselves equal and parallel. Particular Enunciation. Given.— (a) The straight lines AB, CD, equal...
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The Cambridge Examiner, Volume 1

Education, Higher - 1881 - 504 pages
...; the base of that which has the greater angle shall be greater than the base of the other. 3. The straight lines which join the extremities of two equal...same parts are also themselves equal and parallel. If two straight lines join the extremities of two parallel straight lines, but not towards the same...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - Euclid's Elements - 1881 - 236 pages
...formed at the points of meeting, nro together equal to four right angles. PRO?. XXXIII. THEOREM. The straight lines which join the extremities of two equal and parallel straight lines towards the tame parts, are also themselves equal and parallel. Let the straight lines AC, BD join the two equal...
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The Competitor, Volumes 3-4

1883 - 248 pages
...in BF take BD = given sum ; make ^DAC = .^ADC, and prove the triangle ABC is that required.) 2. The straight lines which join the extremities of two equal...same parts, are also themselves equal and parallel. (This is Euclid I., 33.) 3. The complements of the parallelograms, which are about the diameter of...
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Twelve years' Queen's scholarship questions

Education Ministry of - 1882 - 292 pages
...any two of the given lines must be greater than the third ? 4. What are parallel straight lines ? The straight lines which join the extremities of two equal...same parts, are also themselves equal and parallel. 5. What is a parallelogram ? Describe a parallelogram which shall be equal to a given triangle, and...
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The papers set at the professional preliminary examination

College of preceptors - 1882 - 528 pages
...? Prove the proposition of Euclid on which your answer is based. 3. Define parallel straight lines. Straight lines which join the extremities of two equal...parallel straight lines towards the same parts are themselves equal and parallel. State the converse proposition. Equilateral triangles are described...
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