 | John Mason Good - 1813 - 722 pages
...same side; and likewise the two interior angles upon the same side together equal to two right ansies. Prop. XXX. Theor. Straight lines which are parallel to the same straight line are paiallel to one another. Prop. XXXI. Prob. To draw a straight line thruu0h a given point parallel to... | |
 | Euclides - 1814 - 558 pages
...right angles; therefore also BGH, GHD are equal to two right angles. Wherefore, if a straight, &c. QED PROP. XXX. THEOR. STRAIGHT lines which are parallel to the same straight line are parallel to each other. ' Let the straight line GHK cut AB, EF, CD; and because GHK cuts the parallel / straight... | |
 | Euclides - 1816 - 528 pages
...right angles ; therefore also BGH, GHD are equal to two right angles. Wherefore, if a straight, &c. QED PROP. XXX. THEOR. STRAIGHT lines which are parallel to the same straight line are parallel to each other. Let AB, CD be each of them parallel to EF ; AB is also parallel to CD. Let the straight... | |
 | Peter Nicholson - Mathematics - 1825 - 372 pages
...BGH, GH D are equal to two right angles. Wherefore, if a straight, &c. QED Proposition XXX. Theorem. Straight lines which are parallel to the same straight line are parallel to one another. Lei AB, CD be each of them parallel to EF j AB a alto parallel to CD. Let the straight line GHK cut... | |
 | George Lees - 1826 - 266 pages
...parallel, and since they do not meet towards L and D, they must meet if produced towards K and C. Cor. 2. Straight lines which are parallel to the same straight line, are parallel to one another. Scholium. This proposition suggests an 'easy method of drawing a parallel to a given straight line... | |
 | Robert Simson - Trigonometry - 1827 - 513 pages
...therefore also BGH, GHD are equal f to two right angles. Wherefore, if a straight line, &c. Q. £. D. PROP. XXX. THEOR. Straight lines which are parallel to the same straight line are parallel to each other. Let AB, CD be each of them parallel to EF: AB shall be parallel to CD. Let the straight... | |
 | John Playfair - Geometry - 1829 - 186 pages
...the cutting line, and the sum of the two interior angles on the same side equal to two right angles. Straight lines which are parallel to the same straight line are parallel to one another. Mutual Equality of Triangles. When the three sides of one triangle are respectively equal to the three... | |
 | Pierce Morton - Geometry - 1830 - 584 pages
...С : the straight lines pq, p' q1 produced, shall, each of them, pass through the point C. Because straight lines which are parallel to the same straight line are parallel to one another (IV. 6.) VC, which is parallel to PQ, is parallel also to P'Q'. But it has been already shown (2 Cor.... | |
 | Euclides - 1834 - 518 pages
...BGH, GHD are equal f to two right angles. Wherefore, if afl Ax. straight line., &c. QED PROPOSITION XXX. THEOR. — Straight lines which are parallel to the same straight line, are parallel to each other. Let AB, CD be each of them parallel to EF: AB shall be parallel to CD. Let the straight... | |
 | Mathematics - 1835 - 684 pages
...in С : the straight lines pq, p'q produced, shall, each of them, pass through the point C. Because straight lines which are parallel to the same straight line are parallel to one another (IV. 6.) VC, which is parallel to PQ, is parallel also to P'Q'. But it has been already shown (2 Cor.... | |
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Straight lines which are parallel to the same straight line are parallel to one another. Triangles and Rectilinear Figures. The sum of the angles of a triangle is equal to two right angles. 
