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" A plane rectilineal angle is the inclination of two straight lines to one another, which meet together, but are not in the same straight line. "
Encyclopaedia Perthensis; Or Universal Dictionary of the Arts, Sciences ... - Page 348
1816
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 534 pages
...to one another See N; " in a plane, which meet together, but are not in the fame " direction." IX. A plane rectilineal angle is the inclination of two...meet together, but are not in the fame ftraight line. « NB Book I. B CE ' NB When feveral angles are at one point B, any one ' of them is cxprefled by three...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 pages
...to one another See N. " in a plane, which meet together, but are not in the fame " direction." IX. A plane rectilineal angle is- the inclination of two...meet together, but are not in the fame ftraight line. NB Book I. A! D CE * NB When fevcral angles are at one point B, any one of them is exprefled by three...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1781 - 534 pages
...lines to one another in a Se* N. " plane, wnich meet together, but are not in the fame direction." IX. A plane rectilineal angle is the inclination of two...to one another, which meet together, but are not in ihe fame ftraight line. A Book I. B ' NB When feveral angles are at one point B, anyone of them * is...
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The Elements of Euclid: With Dissertations Intended to Assist and Encourage ...

Euclid, James Williamson - Euclid's Elements - 1781 - 324 pages
...the fuppofition that the lines are in the fame plane, as I mall have occafion to obferve. And, the plane rectilineal angle is the inclination of two ftraight lines to one another in or upon fuch an even furface as this, which meet together but are not in the fame direction. They...
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Elements of Geometry: Containing the Principal Propositions in the First Six ...

Euclid - Euclid's Elements - 1789 - 296 pages
...the ninth, there feems to be ftill a fuperfluous condition. He defines a rectilineal angle, to be " the inclination of two ftraight lines to one another,...meet together, but are not in the fame ftraight line ." Now their not being in the fame ftraight line, is a neceflfary confequence, obvioufly included in...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...the meeting of other lines than ftraight lines. A pl»ne angle is faid to be ' the inclination of two lines to one another which meet together, but are not in the feme direftion.' This definition is omitted here, becaufe that the angles formed by the meeting of...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - Trigonometry - 1799 - 374 pages
...ftraight line between them lies wholly in that fupeificies. VIII. Omitted. IX. A plane reftilineal angle is the inclination of two ftraight lines to...meet together, but are not in the fame ftraight line. B NB BooK T. ' NB When feveral angles are at one point B, any one * of them is expreffed by three letters,...
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Elements of Geometry: Containing the Principal Propositions in the First Six ...

John Bonnycastle - Euclid's Elements - 1803 - 470 pages
...feemstobeftillafuperfluous condition. He defines ar*Qi» lineal angle, to be " the inclination of two ftraight line* to one another, which meet together, but are not in the fame ftraight line." Now their not being in the fame flraight line, is a neceffary confequence, obvioufly included in their...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804 - 530 pages
...to one another in a See N. " plane, which meet together, but are not in the fame direction." IX. i A plane rectilineal angle is the inclination of two...to one another, which meet together, but are not in tbe fame ftraight line. A Book 1. B « NB When feveral angles are at one point B, any one of them «...
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...meeting of other lines than flraight lines. A plane angle is faid to be " the inclina" tion of two lines to one another which meet together, but are " not in the fame direftion." This definition is omitted here, becaufe that the angles formed by the meeting of curve...
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