 | Isaac Todhunter - Philosophy - 1877 - 440 pages
...angle ABC is equal to the angle ABD each of them is a right angle, and AB is perpendicular to DC. 1 4. Parallel straight lines are such as are in the same...and which being produced ever so far both ways do uot meet. 15. A triangle is a figure formed by three straight lines. If one of the angles of the triangle... | |
 | Elias Loomis - Geometry - 1877 - 443 pages
...and BCE are together equal to two right angles, then ACE is the supplement of BCE. . • •*: B 24. Parallel straight lines are such as are in the same plane, and which, being produced ever 1> so far both ways, do not meet, as AB, CD. 25. A rectilineal figure, or polygon, is a portion of... | |
 | Āryabhaṭa - 1878
...sides equal and all its angles right angles. XXIII. Parallel straight lines are such as are in the samo plane, and which being produced ever so far both ways do not meet. XXIV. A parallelogram is a four-sided figure of •which the opposite sides are parallel, aud the diagonal... | |
 | James Maurice Wilson - 1878
...Enunciate the centra-positives of Theorems 9 and 18. SECTION III. PARALLELS AND PARALLELOGRAMS. Def. 35. Parallel straight lines are such as are in the same plane and being produced to any length both ways do not meet. Axiom 5. Two straight lines that intersect one... | |
 | 1878
...produced, they are said to make an angle with each other, or to contain or to include an angle." " Parallel straight lines are such as are in the same plane, and do not meet, however far produced." We should prefer to say that " an angle is the measure of the difference... | |
 | Joseph Wollman - 1879
...different planes may not meet however far they may be produced ; therefore the complete definition is — parallel straight lines are such as are in the same...being produced ever so far both ways, do not meet SECTION II. 1. If the equal sides of an isosceles triangle be produced, the angles on the other side... | |
 | Euclides - 1879
...trapeziums. [Four-sided figures which have two opposite sides parallel are often called trapezoids.] 35. Parallel straight lines are such as are in the same...being produced ever so far both ways do not meet. 36. A parallelogram is a four-sided figure, of which the opposite sides are parallel. 37. The diameter... | |
 | Moffatt and Paige - 1879
...its angles right angles. 34. All other four-sided figures besides these are called Trapeziums. 35. Parallel straight lines are such as are in the same...being produced ever so far both ways, do not meet. POSTULATES. Let it be granted (1) That a straight line may be drawn from any one point to any other... | |
 | Isaac Sharpless - Geometry - 1879 - 266 pages
...cannot enclose space; neither can they coincide in any two points without coinciding altogether. 4. Parallel straight lines are such as are in the same plane, and being produced ever so far both ways do not meet. 5. A surface is that which has length and breadth... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 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\s parallel to GH. Wherefore, if two parallel planes &c. QE-D. PROPOSITION... | |
| |
Parallel straight lines are such as are in the same plane, and which being produced ever so far both ways, do not meet. 
