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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 ... - Side 39
av Euclid, John Playfair - 1826 - 320 sider
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Report on the Training Systems for the Navy and Mercantile Marine of England ...

French Ensor Chadwick - 1880 - 222 sider
...SENIOR PUPIL TEACHERS— SIXTH YEAR. EUCLID. (Time allowed, 3 hours. ) 1. The straight lines which join the extremities of two equal and parallel straight...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 sider
...enunciations of Euc. I. 4 ; I. 27; I. 29 ; and Axiom 2a. General*Enunciation. The straight lines which join the extremities of two equal and 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, Volum 1

1881 - 504 sider
...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 and parallel straight...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 - 1881 - 236 sider
...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, Volumer 3-4

1883 - 248 sider
...sum ; make ^DAC = .^ADC, and prove the triangle ABC is that required.) 2. The straight lines which join the extremities of two equal and parallel straight...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 - 300 sider
...lines must be greater than the third? 4. What are parallel straight lines ? The straight lines which join the extremities of two equal and parallel straight...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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Class lessons on Euclid

Marianne Nops - 1882 - 278 sider
...development of the parallelogram from parallel straight lines. It teaches us that the straight lines which join the extremities of two equal and parallel straight lines towards the same parts are themselves equal and parallel. Let AB and CD be equal and parallel lines joined by AC and BD, we have...
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The papers set at the professional preliminary examination

College of preceptors - 1882 - 528 sider
...proposition of Euclid on which your answer is based. 3. Define parallel straight lines. Straight lines which join the extremities of two equal and parallel straight lines towards the same parts are themselves equal and parallel. State the converse proposition. Equilateral triangles are described...
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Geometry for schools, comprising books i. and ii. of Euclid, with some ...

Euclides - 1883 - 176 sider
...triangle and the angles at the base, to construct the triangle. PROP. 33. THEOR. 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, and let them be joined towards the same parts. To prove AC = and || BD. JoinBC....
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 428 sider
...with four right angles. B V PROPOSITION 83. THEOREM. The straight lines which join the extremitie* of two equal and parallel straight lines towards the...parts, are also themselves equal and parallel. Let AB and CD be equal and parallel straight lines, and let them be joined towards the same parts by the straight...
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