 | George Darley - Euclid's Elements - 1836 - 172 pages
...Hence, by ART. I, AD is equal to DB. This, &c. PROB. VI. To draw a perpendicular to a given right line, from a given point without it. Let AB be the given line, c the point without it. It is required to draw from C the point oa perpendicular to AB. / [ \ side... | |
 | Andrew Bell - Euclid's Elements - 1837 - 290 pages
...C, in the given straight line AB, FC has been drawn at right angles to AB. PROPOSITION XII. PROBLEM. 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... | |
 | 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
...(Argument ad absurdum). Two right lines cannot have a common segment. ;B PROPOSITION XII. Problem. To draw a straight line perpendicular to a given straight...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,... | |
 | Euclid, James Thomson - Geometry - 1845 - 382 pages
...straight line AB, FC has been drawn at right angles to AB : which was to he 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... | |
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To draw a straight line perpendicular to a given straight line of an unlimited length, from a given point without it. 
