 | William Vogdes - Arithmetic - 1847 - 324 pages
...content of any figure, is the space contained within the line or lines which bound it. 7. Parallel lines are those which are in the same plane, and which being produced both ways do not meet. 8. An angle is the inclination or opening of two lines, having different directions... | |
 | Euclides - 1848 - 52 pages
...four-sided figures besides these, are called Trapeziums. XXXV. Parallel straight lines 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 the diameter... | |
 | Charles Richson - 1848 - 98 pages
...lower horizontal; — beginning on the left side. DEFINITION. — " Parallel straight lines are such as are in the same plane, and which being produced ever so far both ways, do not meet." EXERCTSES. — 1. Draw the above figure in various sizes. 2. Two isoceles triangles are here formed;... | |
 | John Bonnycastle - Geometry - 1848 - 320 pages
...quadrilateral, whose sides are all equal, but its angles not right angles.* 35. Parallel right lines are such as are in the same plane, and which being produced ever so far both ways, do not meet. 36. A. parallelogram is a quadrilateral whose opposite sides are parallel. 1 This figure, by working... | |
 | Euclid, Thomas Tate - 1849 - 120 pages
...four-sided figures besides these, are called Trapeziums. XXXV. Parallel straight lines are such as are in the same plane, and which, 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... | |
 | Euclides - 1852 - 152 pages
...other four,sided figures besides these are called Trapeziums. XXXV. Parallel straight lines are such as are in the same plane, and which, being produced ever so far both ways, do not meet. Fig. 1. Fig. 2. [Fig. 1. lines parallel; Jig. 2. lines not parallel. Observe particularly the words,... | |
 | Euclides - 1853 - 146 pages
...other four-sided figures besides these are called Trapeziums. xxxv. Parallel straight lines are such as are in the same plane, and which, being produced ever so far both ways, do not meet. POSTULATES. Let it be granted that a straight line may be drawn from any one point to any other point.... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 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. POSTULATES. 1. Let it be granted that a straight line may be drawn from any one point to any other... | |
 | Euclides - Geometry - 1853 - 176 pages
...other four-sided figures besides these are called trapeziums. XXXV. Parallel straight lines are such as are in the same plane, and which, being produced ever so far both ways, do not meet. POSTULATES. L Let it be granted that a straight line may be drawn from any one point to any other point.... | |
 | Euclides - 1855 - 270 pages
...and the other pair not, the figure is called a trapezoid. XXXV. Parallel straight lines are such as are in the same plane, and which - . being produced ever so far both ways do not meet. The meaning of this йейпШьп is, that the space between the lines is always of the same breadth.... | |
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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. 
