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" Parallel straight lines are such as are in the same plane, and which being produced ever so far both ways, do not meet. "
A Treatise on Surveying, Containing the Theory and Practice: To which is ... - Page 26
by John Gummere - 1814 - 346 pages
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 400 pages
...H. In the same manner it may be shewn that they do not meet towards E, G. But straight lines which are in the same plane, and which being produced ever so far both ways do not meet are parallel; therefore EF is parallel to GH. EUCLID'S ELEMENTS. PROPOSITION 17. THEOREM. If two ttraight...
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Syllabus of plane geometry, books 1-3, corresponding to Euclid, books 1-4 ...

Mathematical association - 1883
...each triangle is not less than the other given side. SECTION 3. PARALLELS AND PARALLELOGRAMS. DBF. 35. Parallel straight lines are such as are in the same plane and being produced to any length both ways do not meet. DBF. 36. A trapezium is a quadrilateral that has...
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Stewart's guide-book to the queen's scholarship and certificate examinations ...

Stewart W. and co - 1884
...same plane (though they are not parallel) would never meet when produced. The full definition is. / " Parallel straight lines are such as are in the same...being produced ever so far both ways, do not meet." SECTION II. (o) If the equal sides of an isosceles triangle be produced, the angles on the other side...
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Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884
...angles right angles. XXXIV. All other four-sided figures besides these are called trapeziums. XXXV. Parallel straight lines are such as are in the same...being produced ever so far both ways, do not meet. POSTULATES. I. Let it be granted that a straight line may be drawn from any one point to any other...
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An introduction to geometry, consisting of Euclid's Elements, book ..., Volume 1

Euclides - 1884
...from a square ? 6. How does a rhomboid differ from a rhombus f 14. PARALLELS AKD PARALLELOGRAMS. 35. Parallel straight lines are such as are in the same...being produced ever so far both ways do not meet. (A.) A parallelogram is a four-sided figure whose opposite sides are parallel. (B.) A diagonal of a...
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The Weston school manual

Colin Arrott R. Browning - 1884
...the lengths of lines bounding any other figure is often called the perimeter of that figure. Parallel Lines are such as are in the same plane, and which...being produced ever so far both ways, do not meet. (2) A Superficies, or area, is the outside surface or boundary of a solid. It has only two dimensions...
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The text of Euclid's geometry, book 1, uniformly and systematically arranged ...

Euclides - 1884
...the definition of parallel straight lines. One definition proposed instead of Euclid's runs thus : Parallel straight lines are such as are in the same plane, and which neither recede from, nor approach to, one another. Another proposal is the insertion, in the place...
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The elements of plane geometry, Volume 1

Mathematical association - 1884
...from a given point outside it is called the distance of the point from the straight line. DEF; 33. Parallel straight lines are such as are in the same plane and being produced to any length both ways do not meet. DEF. 34. When a straight line intersects two other...
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The Elements of Euclid, books i. to vi., with deductions, appendices and ...

Euclides - 1884
...vertically opposite angles. Thus A EC and BED are vertically A opposite angles ; and so are AED and BEC. 14. Parallel straight lines are such as are in the same plane, and being produced E ever so far both ways do not \o meet. \H C— v D Thus AB and CD are parallel \ straight...
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The Elements of Plane Geometry ...

Association for the improvement of geometrical teaching - Geometry, Plane - 1884
...of AP and BP is less than the sum of AQ and BQ. SECTION III. PARALLELS AND PARALLELOGRAMS. DEF. 33. Parallel straight lines are such as are in the same plane and being produced to any length both ways do not meet. DEF. 34. When a straight line intersects two other...
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