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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. "
A Treatise on Surveying, Containing the Theory and Practice: To which is ... - 25 ページ
John Gummere 著 - 1814 - 346 ページ
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Elements of Geometry: With Notes

John Radford Young - 1827 - 246 ページ
...an angle is very vague, and can convey but an indistinct notion of angular magnitude ; he calls it " the inclination of two straight lines to one another,...together, but are not in the same straight line." To understand this definition, it is necessary previously to know what is meant by " the inclination...

The First Six Books of the Elements of Euclid, with a Commentary and ...

Euclid, Dionysius Lardner - 1828 - 542 ページ
...the Elements, as being useless. (10) IX. A plane rectilinear angle is the inclination of two right lines to one another, which meet together, but are not in the same right line. (11) X. When a right line standing on another right line makes the adjacent angles equal,...

A London Encyclopaedia, Or Universal Dictionary of Science, Art ..., 第 10 巻

Thomas Curtis - 1829 - 814 ページ
...which any two points being taken, the straight line between them lies wholly in that superficies. 6. 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. Fig.2. Note. When several angles...

Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1832 - 358 ページ
...which any two points being taken, the straight line between them lies wholly in that superficies. VI. A plane rectilineal angle is the inclination of two...lines to one another, which meet together, but are notin the same straightline. • The definitions marked with inverted commas are different from those...

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 ページ
...to one See N. " another in a plane, which meet together, but are not in " the same direction." IX. A plane rectilineal angle is the inclination of two...meet together, but are not in the same straight line. Book I. -CE NB ' Wheir several angles are at one point B, any one of them is expressed by three letters,...

The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 488 ページ
...being taken, the straight line between them lies wholly in that superficies. 6. A plane rectilinial angle is the inclination of two straight lines to...meet together but are not in the same straight line. 7. When a straight line standing on another straight line makes the adjacent angles equal to one another,...

Remarks on mathematical or demonstrative reasoning:its connexion with logic ...

Edward Tagart - 1837 - 156 ページ
...Stewart's Philosophy, vol. ii. pp. 158, 160. Take for example the ninth and eleventh definitions. " A plane rectilineal angle is the inclination of two...meet together but are not in the same straight line." " An obtuse angle is that which is greater than a right angle." With what propriety can it be said...

Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 290 ページ
...which any two points being taken, the straight line between them lies wholly in that superficies. 9. A plane rectilineal angle is the inclination of two...meet together, but are not in the same straight line. When several angles are at one point B, any one of them is expressed by three letters, of which the...

Logic: Or, The Art of Reasoning Simplified. With Exercises on a Variety of ...

S. E. Parker - 1837 - 344 ページ
...impart. When we, on first opening the pages of Euclid, read, " a line is length without breadth ;" " a plane rectilineal angle is the inclination of two straight lines to one another that meet in a point ;" " that a triangle is a plane figure bounded by three lines," Ac. ; from hence...

Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1837 - 332 ページ
...meeting of the other lines than straight lines. A plane angle is said to be "the inclination of two lines to one another which " meet together, but are not in the same direction." This definition is omitted here, because that the angles formed by the meeting of curve...




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