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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 Revised: Containing the Essentials of the Elements of Plane Geometry ... - Page 37
by Euclid - 1890 - 400 pages
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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879 - 94 pages
...through the point of bisection and terminated by the parallel line are also bisected in that point. 2. The straight lines which join the extremities of two...parallel straight lines towards the same parts are also themselves equal and parallel. Any straight line drawn through the intersection of the diagonals...
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Elements of Geometry: Containing Books 1. to Vi. and Portions of Books Xi ...

James Hamblin Smith - Euclid's Elements - 1879 - 378 pages
...equiangular polygon, four of whose angles are together equal to seven right angles ? PROPOSITION XXXIII. THEOREM. The straight lines which join the extremities of two equal and paralkl straight lines, towards the same parts, are also thenir selves equal and parallel. - a Let...
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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...the same parts, are themselves equal and parallel. Particular Enunciation. Given.— (a) The straight lines AB, CD, equal and parallel. (b) The straight...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...together with four right angles. Therefore all the exterior angles are equal to four right angles. PROPOSITION 33. THEOREM. The straight lines which...parallel straight lines towards the same parts, are also themselves equal and parallel. Let AB and CZ> be equal and parallel straight lines, and let them...
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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...parallel straight lines, towards the same parts, are also themselves equal and parallel. Let AB and CD be two equal and parallel straight lines, joined...
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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...parallel straight lines towards the same parts are also themselves equal and parallel. 2. To divide a given straight line into two parts so that the rectangle...
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Examination papers, and division lists, &c. [afterw.] General certificate of ...

Oxford univ, local exams - 1880 - 394 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...parallel straight lines towards the same parts, are also themselves equal and parallel. 5. If a straight line be divided into any two parts, the sqTtares...
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Ten years' Queen's scholarship questions, 1870-9, with answers to arithmetic ...

Education Ministry of - 1880 - 248 pages
...that 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...parallel straight lines towards the same parts, are also themselves equal and parallel. 5. What is a parallelogram ? Describe a parallelogram which shall...
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The Cambridge Examiner, Volume 1

Education, Higher - 1881 - 504 pages
...other ; 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...parallel straight lines towards the same parts are also themselves equal and parallel. If two straight lines join the extremities of two parallel straight...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - Euclid's Elements - 1881 - 236 pages
...the angles formed at the points of meeting, nro together equal to four right angles. PRO?. XXXIII. THEOREM. The straight lines which join the extremities...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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