 | Euclides - 1877 - 58 pages
...A square is a four-sided figure which has all ts sides equal, and all its angles right angles. 20. Parallel straight lines are such as are in the same plane, and which being produced ever so far both ways do not meet. The remaining Definitions (21 to 35) are placed by Euclid... | |
 | Elias Loomis - Conic sections - 1877 - 458 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... | |
 | Isaac Todhunter - Philosophy - 1877 - 452 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 plane, and which being produced ever so far both ways do uot meet. 15. A triangle is a figure formed by three straight lines.... | |
 | Edward Atkins - 1877 - 72 pages
...opposite sides equal to one another, but all its sides are not equal, nor its angles right angles. 34. Parallel straight lines are such as are in the same plane, and which being produced ever so far both ways do not meet. 35. A parallelogram is a four-sided figure of which the... | |
 | James Maurice Wilson - 1878 - 450 pages
...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 - 500 pages
...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... | |
 | Euclides - 1879 - 146 pages
...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 plane, and which being produced ever so far both ways do not meet. 36. A parallelogram is a four-sided figure, of which the... | |
 | Joseph Wollman - 1879 - 120 pages
...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 plane, and which, being produced ever so far both ways, do not meet SECTION II. 1. If the equal sides of an isosceles triangle... | |
 | Moffatt and Paige - 1879 - 428 pages
...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 plane, and which, being produced ever so far both ways, do not meet. POSTULATES. Let it be granted (1) That a straight line... | |
 | Isaac Sharpless - Geometry - 1879 - 282 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... | |
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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. 
