| Joseph Hughes - 1883 - 568 Seiten
...semicircle is the part of a circle cut off by a diameter. A scalene triangle has three unequal sides. Parallel straight lines are such as are in the same plane, and which being produced ever so fa: both ways do not meet. A postulate is a self-evident problem, the use of which is at once granted... | |
| Euclid, Isaac Todhunter - 1883 - 428 Seiten
...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 - 86 Seiten
...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 - 146 Seiten
...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 - 272 Seiten
...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 - 182 Seiten
...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 - 274 Seiten
...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 - 214 Seiten
...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 - 146 Seiten
...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 - 434 Seiten
...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... | |
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