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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 ... - Side 106
av Thomas Perronet Thompson - 1833 - 150 sider
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The Competitor, Volumer 3-4

1883
...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 lines towards the same parts, are also themselves equal and parallel. (This is Euclid I., 33.) 3. The complements of the parallelograms,...
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Twelve years' Queen's scholarship questions

Education Ministry of - 1882
...be greater than the third ? 4. What are parallel straight lines ? The straight lines which join the extremities of two equal and 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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Geometry for schools, comprising books i. and ii. of Euclid, with some ...

Euclides - 1883 - 96 sider
...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 lines towards the same parts are also themselves equal and parallel. Given AB = and || CD, and let them be joined towards the same parts....
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 400 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 same parts, are also themselves equal and parallel. Let AB and CD be equal and parallel straight lines, and let them...
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Woolwich mathematical papers [aftwerw.] Mathematical papers for admission ...

Woolwich roy. military acad - 1884
...Why is the given straight line described as of unlimited length? 3. The straight lines which join the extremities of two equal and parallel straight lines...the same parts are themselves equal and parallel. Prove that a quadrilateral, which has two opposite sides and two opposite obtuse angles equal, is a...
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The Elements of Euclid, books i. to vi., with deductions, appendices and ...

Euclides - 1884
...and joining it to the angular points. PROPOSITION 33. THEOREM. The straight lines which join the ends of two equal and parallel straight lines towards the same parts, are themselves equal and parallel. A. _T* CD Let AB and CD be equal and parallel : it is required to prove AC and BD equal and parallel....
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Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884
...to twice as many right angles as the figure has sides. XXXIII. — 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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An introduction to geometry, consisting of Euclid's Elements, book ..., Volum 1

Euclides - 1884
...the lines in a similar manner. 80. 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 Civil service year book and official calendar

1884
...to two right angles. 3. Trisect a given finite straight line. 4. The straight lines which join the extremities of two equal and parallel straight lines towards the same parts, are also themselves equal and parallel. Show how to inscribe a square in a given right.angled isosceles...
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The text of Euclid's geometry, book 1, uniformly and systematically arranged ...

Euclides - 1884
...are 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. . GIVEN that AB and CD are equal and parallel, and joined towards...
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