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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. "
The Ontario High School Geometry: Theoretical - Page 66
by Alexander H. McDougall - 1910 - 302 pages
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Class lessons on Euclid

Marianne Nops - 1882 - 278 pages
...triar^le, &c. — QED PROPOSITION XXXIII., THEOREM 23. 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 and CD be equal and || straight lines joined towards the...
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Geometry for schools, comprising books i. and ii. of Euclid, with some ...

Euclides - 1883 - 176 pages
...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 - Euclid's Elements - 1883 - 428 pages
...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 - 148 pages
...that the two triangles are equal in all respects. |j. The straight lines which join the extremities of two equal and parallel straight lines towards the same parts are themselves equal and parallel. Shew also that the straight lines which join the extremities towards opposite parts, bisect each other....
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The Elements of Euclid, books i. to vi., with deductions, appendices and ...

Euclides - 1884 - 434 pages
...one pair of opposite sides equal and parallel, it is a ||m. 3. What statements may be made about the straight lines which join the ends of two equal and parallel straight lines towards opposite parts ? PROPOSITION 34. THEOREM. A parallelogram has its opposite sides and angles equal,...
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An introduction to geometry, consisting of Euclid's Elements, book ..., Volume 1

Euclides - 1884 - 182 pages
...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 text of Euclid's geometry, book 1, uniformly and systematically arranged ...

Euclides - 1884 - 214 pages
...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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Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884 - 272 pages
...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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The Practical Teacher, Volume 3

Education - 1884 - 708 pages
...a given side. Л BCA is the triangle required. QEF 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. Prop. 33, Bk. I. 3. The complements of the parallelograms, which...
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The Civil service year book and official calendar

1884 - 266 pages
...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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