 | Robert Simson - 1806 - Liczba stron: 546
...angles to the plane HGK. r~ Therefore AB, CD are each of CK n them at right angles to the plane HGK. But if two straight lines be at right angles to the same plane, they shall be parallel6 to one another. Therefore AB is c 6. 11. parallel to CD. Wherefore, two straight lines, &c.... | |
 | John Playfair - 1806 - Liczba stron: 320
...in one and the same plane. Therefore, if three straight lines, &c. QED j PROP. VI. THEOR. a 48. 1. f IF two straight lines be at right angles to the same plane they will be parallel to each other. Let the straight lines AB, CD be at right angles to the same plane... | |
 | Euclid - 1810 - Liczba stron: 554
...angles to the plane HGK. ~ Therefore AB, CD are each of ^ them at right angles to the plane HGK. But if two straight lines be at right angles to the same plane, they shall be parallel« to one another. Therefore AB isc6. 11. parallel to CD. Wherefore, two straight lines, &c. QED PROP. X. THEOR. IF two... | |
 | Euclides - 1814 - Liczba stron: 560
...and the same plane. Therefore, if three straight PROP. VI. THEOR. if two straight lines be alright angles to the same plane, they shall be parallel to one another. Let them meet the plane in the points B, D, and draw the straight line BD, to which draw DE at right angles,... | |
 | Euclides - 1816 - Liczba stron: 588
...BD, BE ar« in one and the same plane. Therefore, if three straight lines, 8cc. QED PROP. VI. THEOR. IF two straight lines be at right angles to the same...lines AB, CD be at right angles to the same plane ; AB is parallel to CD. Let them meet the plane in the points B, D, and dnlw the straight line BD, to which... | |
 | John Playfair - 1819 - Liczba stron: 354
...lines, &c. Q, ED PROP. VI. THEOR. Two straight lines which are at right angles to the same plane, are parallel to one another. Let the straight lines AB, CD be at right angles to the same plane BDE : AB i« parallel to CD-. Draw DE at right A B I) Let them meet the plane in the points B, D. angles... | |
 | John Playfair - 1819 - Liczba stron: 350
...lines, &c. Q,. ED PROP. VI. THEOR. Two straight lines which are at right angles to the same plane, arc parallel to one another. Let the straight lines AB, CD be at right angles to the snme plane BDE ; AB is parallel to CD. Let them meet the plane in the points B, D. Draw DE at angles... | |
 | Euclid, Robert Simson - 1821 - Liczba stron: 514
...right angles to the plane HGK. Therefore AB, CD are each of them at right angles to the plane HGK. But if two straight lines be at right angles to the same plane, they shall be parallel ((?. H.) to one another. Therefore AB is parallel toCD. Wherefore, two straight lines, &c. QED i PROP.... | |
 | Peter Nicholson - 1825 - Liczba stron: 1046
...is impossible : Therefore the straight line BC is not above the plane in which are BD and PROP. VI. THEOREM. If two straight lines be at right angles...lines AB, CD be at right angles to the same plane; AB is parallel to CD. Let them meet the plane in the points B, D, and draw the straight line BD, to which... | |
 | Robert Simson - 1827 - Liczba stron: 546
...BD, BE are in one and the same plane. Therefore, if three straight lines, &c. QED PROP. VI. THEOR. If two straight lines be at right angles to the same...AB shall be parallel to CD. Let them meet the plane in the points B, D, and draw the straight line BD, to t u. 1. which drawf DE at right angles, in the... | |
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If two straight lines be at right angles to the same plane, they shall be parallel to one another. Let the straight lines AB, CD be at right angles to the same plane : AB is parallel to CD. 
