| Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 400 pages
...H. In the same manner it may be shewn that they do not meet towards E, G. But straight lines which **are in the same plane, and which being produced ever so far both ways do not meet** are parallel; therefore EF is parallel to GH. EUCLID'S ELEMENTS. PROPOSITION 17. THEOREM. If two ttraight... | |
| Mathematical association - 1883
...each triangle is not less than the other given side. SECTION 3. PARALLELS AND PARALLELOGRAMS. DBF. 35. **Parallel straight lines are such as are in the same plane and** being produced to any length both ways do not meet. DBF. 36. A trapezium is a quadrilateral that has... | |
| Stewart W. and co - 1884
...same plane (though they are not parallel) would never meet when produced. The full definition is. / " **Parallel straight lines are such as are in the same...being produced ever so far both ways, do not meet."** SECTION II. (o) If the equal sides of an isosceles triangle be produced, the angles on the other side... | |
| Stewart W. and co - 1884
...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... | |
| Euclides - 1884
...from a square ? 6. How does a rhomboid differ from a rhombus f 14. PARALLELS AKD PARALLELOGRAMS. 35. **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 whose opposite sides are parallel. (B.) A diagonal of a... | |
| Colin Arrott R. Browning - 1884
...the lengths of lines bounding any other figure is often called the perimeter of that figure. Parallel **Lines are such as are in the same plane, and which...being produced ever so far both ways, do not meet.** (2) A Superficies, or area, is the outside surface or boundary of a solid. It has only two dimensions... | |
| Euclides - 1884
...the definition of parallel straight lines. One definition proposed instead of Euclid's runs thus : **Parallel straight lines are such as are in the same plane, and which** neither recede from, nor approach to, one another. Another proposal is the insertion, in the place... | |
| Mathematical association - 1884
...from a given point outside it is called the distance of the point from the straight line. DEF; 33. **Parallel straight lines are such as are in the same plane and** being produced to any length both ways do not meet. DEF. 34. When a straight line intersects two other... | |
| Euclides - 1884
...vertically opposite angles. Thus A EC and BED are vertically A opposite angles ; and so are AED and BEC. 14. **Parallel straight lines are such as are in the same plane, and** being produced E ever so far both ways do not \o meet. \H C— v D Thus AB and CD are parallel \ straight... | |
| Association for the improvement of geometrical teaching - Geometry, Plane - 1884
...of AP and BP is less than the sum of AQ and BQ. SECTION III. PARALLELS AND PARALLELOGRAMS. DEF. 33. **Parallel straight lines are such as are in the same plane and** being produced to any length both ways do not meet. DEF. 34. When a straight line intersects two other... | |
| |