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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. "
An Easy Introduction to the Mathematics: In which the Theory and Practice ... - Page 267
by Charles Butler - 1814
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Memoir of Theophilus Parsons, Chief Justice of the Supreme Judicial Court of ...

Theophilus Parsons - History - 1861 - 500 pages
...of two finite right lines, -which constitutes their parallelism. According to Euclid, parallel right lines are such as are in the same plane, and which,...being produced ever so far, both ways, do not meet. This is not a definition of the position of two finite right lines, which constitutes their parallelism,...
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 pages
...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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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 pages
...angles right angles. xxx1v. 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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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 pages
...XXXIV. All other four-sided figures besides these, are called Trapeziums. XXXV. Parallel straight linos are such as are in 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 a diameter,...
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An English primer; compiled under the superintendence of E.C. Lowe

Edward Clarke Lowe - 1866 - 172 pages
...angles right angles. [ | 34. All other four- sided figures besides these, are called Trapeziums. 35. Parallel straight lines are such as are in the same...being produced ever so far both ways do not meet. 36. 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 for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...its angles right angles : 34. All other four-sided figures besides these are called trapeziums. 35. Parallel straight lines are such . as are in the same...being produced ever so far both ways do not meet. \Note. The terms oblong and rhomboid are not often used. Practically the following definitions are...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...other four-sided figures besides these are called trapeziums. 35. Parallel straight lines are such _ as are in the same plane, and which being produced ever so far both ways — • do not meet. [Note. The terms oblong and rhomboid are not often used. Practically the following definitions are...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 pages
...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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Elementary Mensuration for the use of schools, etc

Septimus Tebay - Measurement - 1868 - 168 pages
...(ABCD). 22. The diagonal of a trapezium is the straight line which joins two opposite angles (AC). 23. Parallel straight lines are such as are in the same plane and being produced ever so far both ways do not meet. 24. A square is a four-sided figure having all its...
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Mensuration for Beginners: With Numerous Examples

Isaac Todhunter - Measurement - 1869 - 312 pages
...which is greater than a right angle. An acute angle is an angle which is less than a right angle. 9. Parallel straight lines are such as are in the same...being produced ever so far both ways do not meet. 10. A rectilineal figure is a figure which is bounded by straight lines; the boundaries of the figure...
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