AB, CD. In like manner, it may be proved, that FE makes right angles with every straight line which meets it in that plane. But a straight line is at right angles to a plane when it makes right angles with every straight line which meets it in that plane... Books 10-13 and appendix - Page 279by Euclid, Sir Thomas Little Heath, Johan Ludvig Heiberg - 1908Full view - About this book
| Euclides - 1841
...it may be proved, that FE makes right angles with every straight line which meets it in that plane: **but a straight line is at right angles to a plane when it makes right angles with** every straight line which meets it in that plane;* therefore EF is at right angles to the plane in... | |
| Euclides - 1842
...it may be proved that FE makes right angles with every straight line which meets it in that plane. **But a straight line is at right angles to a plane, when it makes right angles with** every straight line which meets it in that plane (1. Dcf. PI.) : therefore EF is at right angles to... | |
| John Playfair - Euclid's Elements - 1842 - 317 pages
...SUPPLEMENT. BOOK II. OF THE INTERSECTION OF PLANES. DEFINITIONS. * 1. A STRAIGHT line is perpendicular or **at right angles to a plane, when it makes right angles with** every straight line which it meets in that plane. 2. A plane is perpendicular to a plane, when the... | |
| Robert Simson - Geometry - 1845 - 199 pages
...it may be proved, that FE makes right angles with every straight line which meets it in that plane. **But a straight line is at right angles to a plane when it makes right angles with** every straight line which meets I! 3Det is. it in that plane ||: therefore EF is at right angles to... | |
| Robert Potts - 1845
...it may be proved, that FE makes right angles with every straight line which meets it in that plane. **But a straight line is at right angles to a plane when it makes right angles with** every straight line which meets it in that plane : (xi. def. 3.) therefore EF is at right angles to... | |
| 1845
...thickness. II. The boundaries of a solid are superficies. III. A straight line is perpendicular, or **at right angles to a plane, when it makes right angles with** every line which meets it in that plane. IV. A plane is perpendicular to a plane, when the straight... | |
| Euclides - 1846
...thickness. n. That which bounds a solid is a superficies. in. A straight line is perpendicular, or **at right angles, to a plane, when it makes right angles with** every straight line meeting it in that plane. iv. A plane is perpendicular to a plane, when the straight... | |
| John Playfair - Euclid's Elements - 1846 - 317 pages
...SUPPLEMENT. BOOK II. OF THE INTERSECTION OF PLANES. DEFINITIONS. 1. A STRAIGHT line is perpendicular or **at right angles to a plane, when it makes right angles with** every straight line which it meets in that plane. 2. 'A plane is perpendicular to a plane, when the... | |
| Samuel Hunter Christie - 1847
...it may be proved, that FE makes right angles with every straight line which meets it in that plane. **But a straight line is at right angles to a plane when it makes right angles with** every straight line which meets it in that plane (Def. 3): therefore EF is at right angles to the plane... | |
| Euclides - 1848
...thickness. II. That which bounds a solid is a superficies. III. A straight line is perpendicular, or **at right angles, to a plane, when it makes right angles with** every straight line meeting it in that plane. IV. A plane is perpendicular to a plane, when the straight... | |
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