 | Euclides - 1846 - 292 pages
...BH, the straight line AF has been drawn perpendicular to the plane. UMI'. PROP. XII. PUOB. To erect a straight line at right angles to a given plane, from a point given in the plane. Let A be the given point in the given plane : it i* required to erect a straight... | |
 | Euclides - 1848 - 52 pages
...a straight line perpendicular to a plane, from a given point above it. PROP. XII. PROBLEM. To erect a straight line at right angles to a given plane, from a point given in the plane. PROP. XIII. THEOREM. From the same point in a given plane, there cannot be... | |
 | Euclides - 1855 - 230 pages
...plane BH, the straight line AF is drawn perpendicular to that plane. PROPOSITION XII. PROBLEM. To erect a straight line at right angles to a given plane, from a point (A) given in the plane. SOLUTION. From any point B above the plane, draw BC perpendindar to it... | |
 | Euclides - 1855 - 270 pages
...the plane BH, the straight line AF и drawn perpendicular to it. QE í PROP. XII. PBOBLEM. To draw a straight line at right angles to a given plane, from a point given in the plane. Let A he the given point in the plane. It is required to draw a straight... | |
 | Eucleides - 1860 - 396 pages
...plane BH, the straight line AF is drawn perpendicular to that plane. PROPOSITION XII. PROBLEM. To erect a straight line at right angles to a given plane, from a point (A) given in the plane. SOLUTION. From any point B above the plane, draw BC perpendicular to... | |
 | William Walton - Mathematics - 1864 - 234 pages
...to it. Therefore angle AB C= angle ERG, or the parallelograms ABCD, EFGH, are equiangular. 6. Erect a straight line at right angles to a given plane from a given point in the plane. On a given equilateral triangle describe a regular tetrahedron. Let ABC (fig. 52) be the... | |
 | University of Cambridge - 1864 - 694 pages
...which is compounded of the ratios of their sides, the parallelograms shall be equiangular. 6. Erect a straight line at right angles to a given plane from a given point in the plane. On a given equilateral triangle describe a regular tetrahedron. 7- If OQ, OQ', touch a parabola... | |
 | Euclides - 1864 - 448 pages
...BH, the straight line AFis drawn perpendicular to that plane. QEF PROPOSITION XII. PROBLEM. To erect a straight line at right angles to a given plane, from a point given in t lie plane. Let A be the point given in the plane. It is required to erect a straight... | |
 | Euclides - 1865 - 402 pages
...BH, the straight line AF is drawn perpendicular to that plane. QEF PROP. XII.— PROBLEM. To erect a straight line at right angles to a given plane, from a point given in the plane. (References — Prop. i. 31; xi. 8, 11.) Let A be the point given in the... | |
 | Robert Potts - 1865 - 528 pages
...BH, the straight line AF is drawn perpendicular to that plane. QEF PROPOSITION XII. PROBLEM. To erect a straight line at right angles to a given plane, from a point given in the plane. Let A be the point given in the plane. It is required to erect a straight... | |
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To erect a straight line at right angles to a given plane, from a point given in the plane. Let A be the point given in the plane. 
