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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. "
British Encyclopedia: Or, Dictionary of Arts and Sciences, Comprising an ...
von William Nicholson - 1821
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The confessions of an old almsgiver; or, Three cheers for the Charity ...

Family welfare association - 1871 - 276 Seiten
...wife. CHAPTER II. Of Parallel Activities. IA.RALLEL lines," saith Euclid (but I quote from memory), " are such as are in the same plane, and which being produced ever so far both ways do not meet." Fain would I see the twin Christian activities, — zeal for souls, and zeal for bodies, — do likewise....
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - 1871 - 302 Seiten
...angle is one which .'s greater than a right angle. 12. Parallel straight lines are such as are a tha same plane, and which, being produced ever so far both ways, do not meet. 13. A plane figure is a plane terminated on all sides bj .ines either straight or curved. If the lines...
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - 1873 - 580 Seiten
...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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A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ...

Euclides - 1874 - 120 Seiten
...are not equal, nor its angles right angles. 34. Any four-sided figure is called a Quadrilateral. 35. Parallel straight lines are such as are in the same...being produced ever so far both ways do not meet. XOTE 1. A Parallelogram is a quadrilateral which has its opposite sides parallel. 5. A Rectangle is...
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Pure mathematics, Band 1

Edward Atkins - 1874 - 426 Seiten
...opposite sides equal to one another, but all its L f sides are not equal, nor its angles right angles. 34. Parallel straight lines are such as are in the same...being produced ever so far both ways do not meet. 35. A parallelogram is a four-sided figure of which the opposite sides are parallel ; and the diagonal...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 Seiten
...four-sided figures besides these, are called Trapeziums. 35. Parallel straight lines are such as are ia the same plane, and which, being produced ever so far both ways, do not meet. A. A parallelogram is a four-sided figure, of which the opposite sides are parallel ; and the diameter,...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 446 Seiten
...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. A. A parallelogram is a four-sided figure, of which the opposite sides are parallel: and the diameter,...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 Seiten
.../ sides are not equal, nor its angles right angles. 34. Parallel straight lines are such as are _in the same plane, and which being produced ever so far both ways do not meet. 35. A parallelogram is a four-sided figure of which the opposite sides are parallel ; and the diagonal...
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Syllabus of Plane Geometry: (corresponding to Euclid, Books I-VI) ...

Association for the improvement of geometrical teaching - 1876 - 66 Seiten
...each triangle is not less than the other given side. SECTION 3. PARALLELS AND PARALLELOGRAMS. DEF* 35. Parallel straight lines are such as are in the same plane and being produced to any length both ways do not meet. AXIOM 5. Two straight lines that intersect one...
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Euclid, book i., propositions i. to xxvi., with exercises and alternative ...

Euclides - 1877 - 58 Seiten
...A square is a four-sided figure which has all ts sides equal, and all its angles right angles. 20. Parallel straight lines are such as are in the same...being produced ever so far both ways do not meet. The remaining Definitions (21 to 35) are placed by Euclid with the above, but they do not occur in...
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