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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's Elements of geometry, books i. ii. iii. iv - Seite 33
von Euclides - 1862
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A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - 1879 - 44 Seiten
...at A, and the angle B is double of the angle C. Show that the side CB is double of the side AB. 33. The straight lines which join the extremities of two...same parts, are also themselves equal and parallel ABCD is a parallelogram whose diagonals AC, BD intersect in C : show that if the parallelograms AOBP,...
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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879 - 146 Seiten
...produced, the perpendicular, and the remaining side form an equilateral triangle. PROPOSITION XXXIII. THEOREM. The straight lines which join the extremities...parallel straight lines towards the same parts, are themselves equal and parallel. Let AB, CD be = and || st. lines, joined towards the same parts by AC,...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1879 - 376 Seiten
...angles ? PROPOSITION XXXIII. THEOREM. The straight lines which join the extremities of two equal ami parallel straight lines, towards the same parts, are also themselves equal and parallel. O Let the equal and || st. lines AB, CD be joined towards the same parts by the st. lines AC, BD. Then...
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Elements of Geometry: Containing Books 1. to Vi. and Portions of Books Xi ...

James Hamblin Smith - 1879 - 378 Seiten
...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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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 426 Seiten
...together with four right angles. Therefore all the exterior angles are equal to four right angles. PROPOSITION 33. THEOREM. The straight lines which...same parts, are also themselves equal and parallel. Let AB and CZ> be equal and parallel straight lines, and let them be joined towards the same parts...
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Ten years' Queen's scholarship questions, 1870-9, with answers to arithmetic ...

Education Ministry of - 1880 - 238 Seiten
...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...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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Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

Euclides, Frederick Burn Harvey - 1880 - 178 Seiten
...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...same 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...
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Examination papers, and division lists, &c. [afterw.] General certificate of ...

Oxford univ, local exams - 1880 - 396 Seiten
...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...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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Report on the Training Systems for the Navy and Mercantile Marine of England ...

French Ensor Chadwick - 1880 - 222 Seiten
....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...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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First principles of Euclid: an introduction to the study of the first book ...

T S. Taylor - 1880 - 152 Seiten
...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...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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