| Andrew Bell - Euclid's Elements - 1837 - 290 pages
...Wherefore, from the given point C, in the given straight line AB, FC has been drawn at right angles to AB. PROPOSITION XII. PROBLEM. To draw a straight line...from a given point without it. Let AB be the given straight line, which may be produced to any length both ways, and let C be a point without it. It is... | |
| Euclid, James Thomson - Geometry - 1837 - 410 pages
...straight line AB, FC has been drawn at right angles to AB : which was to be done. PROP. XII. PROB. To draw a straight line perpendicular to a given straight...from a given point without it. Let AB be the given straight line, which may be produced any length both ways, and let C be a point without it. It is required... | |
| Euclides - Euclid's Elements - 1837 - 112 pages
...PROPOSITION XI. To draw A JL \ COR. (Argument ad absurdum). Two right lines cannot have a common segment. ;B PROPOSITION XII. Problem. To draw a straight line...an unlimited length, from a given point without it. C B PROPOSITION XIII. Theorem, The angles which one straight line makes with another on one side of... | |
| John Playfair - Euclid's Elements - 1837 - 332 pages
...given point C, in i given straight line AB, FC has been drawn at right angles to AB. PROP. XII. PROB. To draw a straight line perpendicular to a given straight...of an unlimited length, from a given point without itt Let AB be a given straight line, which may be produced to any length both ways, and let C be a... | |
| Euclides - 1838 - 264 pages
...greater; which is impossible; therefore two straight lines cannot have a common segment. PROP. XII. PROB. To draw a straight line perpendicular to a given straight...unlimited length, from a given point without it. Let AT! be the given straight line, which may be produced to any length both ways, and let C be a point... | |
| Euclides - Geometry - 1841 - 378 pages
...greater; which is impossible: therefore two straight lines cannot have a common segment. PROP. XII. PROB. To draw a straight line perpendicular to a given straight...from a given point without it. Let AB be the given straight line, which may be produced any length both ways, and let C be a point without it. It is required... | |
| John Playfair - Euclid's Elements - 1842 - 332 pages
...given point C, in the given straight line AB, FC has been drawn at right angles to AB. PROP. XII. PROB. To draw a straight line perpendicular to a given straight...unlimited length, from a given point without it. Let AB be a given straight line, which may be produced to any length both ways, and let C be a point without... | |
| Euclides - 1842 - 316 pages
...; which is impossible ; therefore two straight lines cannot have a common segment. PROP. XII. PROB. To draw a straight line perpendicular to a given straight line of an unlimited length, from a given point on its exterior. Let л B be the given straight line, which may be produced to any length both ways,... | |
| Euclides - 1845 - 546 pages
...the greater angle, which is impossible. Therefore two straight lines cannot have a common segment. PROPOSITION XII. PROBLEM. To draw a straight line...from a given point without it. Let AB be the given straight line, which may be produced any length both ways, and let C be a point without it. It is required... | |
| Euclid - Geometry - 1845 - 218 pages
...impossible ; therefore two straight lines cannot have a common segment. ^ PROPOSITION XII. PROB — To draw a straight line perpendicular to a given straight...from a given point without it. Let AB be the given straight line, which may be produced to any length both ways, and let C be a point without it. It is... | |
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