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" A plane angle is the inclination of two lines to each other in a plane, which meet together, but are not in the same direction. "
The philosophical and mathematical commentaries of Proclus ... on the first ... - Page 132
by Proclus (Diadochus.) - 1788
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1762 - 488 pages
...lies wholly in that fuperficies. VIII. " A plane angle is the inclination of two lines to one another in a ^ " plane, which meet together, but are not in the fame direction." IX. A plane rectilineal angle is the inclination of two ftraicrht lines to one another,which meet together,...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 534 pages
...wholly in that fuperficies. vra. " A plane angle is the inclination of two lines 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 ftraight lines to one another, which meet together,...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 pages
...in that fuperficies. VIII. «f A plane angle is the inclination of two lines 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 ftraight lines to one another, which meet...
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Euclid's Elements of Geometry: The Six First Books. To which are Added ...

Rev. John Allen - Astronomy - 1822 - 516 pages
...diameter of a circle, and the part of the circumference which is cut off thereby, (as ADB). 16. A plain angle, is the inclination of two lines to each other in a plain, which meet together, but are not in the same direction. 17. A rectilineal angle, is the inclination...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 pages
...which any two points being taken, the straight line between them lies wholly in that superficies. VIII. A plane angle is the inclination of two lines to each...in a plane which meet together, but are not in the same straight line. IX. A plane rectilineal angle is the inclination of two straight lines to one another,...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 pages
...which any two points being taken, the straight line between them lies wholly in that superficies. VIII. A plane angle is the inclination of two lines to each other in a plane which meet together, but not in the same straight line. IX. A plane rectilineal angle is the inclination of two straight lines...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858 - 248 pages
...contained within its boundaries ; — as, 4 square inches ; 9 square feet ; 13 square yards, &c. 8. A plane angle is the inclination of two lines to each other in a plane, which meet together in the same point, Iwl are not in the same straight line. A plane angle is the opening of two lines...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 380 pages
...which any two points being taken, tne Straight line between them lies wholly in that suparficies. VHL A plane angle is the inclination of two lines to each...in a plane, which meet together, but are not in the same straight line. IX. A plane rectilineal angle is the inclination of two straight lines to one another,...
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The Educational record, with the proceedings at large of the ..., Volumes 5-6

British and foreign school society - 1863 - 566 pages
...precedes the 9th, because a plane rectilineal angle- is a particular kind of p'a"6 angle. In the 8th " a plane angle is the inclination of two lines to each...in a plane which meet together, but are not in the same straight line ;" the adjective plane is used to distinguish the angle defined from a solid angle...
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Euclid's plane geometry, practically applied; book i, with explanatory notes ...

Euclides - 1863 - 74 pages
...;— as, 4 square inches ; .J square feet ; 13 square yards, &c. 8. A plane angle (angulus, a corner), is the inclination of two lines to each other in a plane, which meet together in the same point, but are not in the same straight line. A plane angle is the opening of two lines...
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