| Euclid, Isaac Todhunter - 1867 - 424 sivua
...is that which has length, breadth, and thickness. 2. That which bounds a solid is a superficies. 3. A straight line is perpendicular, or at right angles,...with every straight line meeting it in that plane. 4. A plane is perpendicular to a plane, when the straight lines drawn in one of the planes perpendicular... | |
| Euclid, Isaac Todhunter - 1867 - 426 sivua
...is that which has length, breadth, and thickness. 2. That which bounds a solid is a superficies. 3. A straight line is perpendicular, or at right angles,...makes right angles with every straight line meeting it iu that plane. 4. A plane is perpendicular to a plane, when the straight lines drawn in one of the... | |
| Robert Potts - 1868 - 434 sivua
...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 the plane in which... | |
| William Thomas Read - 1869 - 176 sivua
...taken, the line joining those points lies wholly in that surface. 2. A straight line is said to be at right angles to a plane, when it makes right angles with every line which meets it in that plane. 3. The inclination of a plane to a plane, is the acute angle contained... | |
| Isaac Todhunter - 1869 - 312 sivua
...arc parallel planes. 214. A straight line is said to bo at right angles to a plane, or perpendicular to a plane, when it makes right angles with every straight line which it meets in that plane. This is the strict geometrical definition ; but without regarding it,... | |
| Euclides - 1874 - 342 sivua
...is that which has length, breadth, and thickness. 2. That which bounds a solid is a superficies. 3. A straight line is perpendicular, or at right angles...with every straight line meeting it in that plane. 4. A plane is perpendicular to a plane, when the straight lines drawn in one of the planes perpendicular... | |
| Robert Potts - 1876 - 446 sivua
...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 the plane in which... | |
| Isaac Todhunter - 1879 - 176 sivua
...perpendicular to OB, OC respectively ; join PE, PF, OD. Since PD is perpendicular to the plane BOC, it makes right angles with every straight line meeting it in that plane ; hence PE1 = PD1 + DE3 = PO1 - OD' + DE' = PO' - OE' ; thus PEO is a right angle. Therefore PE = OP... | |
| Isaac Todhunter - 1880 - 426 sivua
...is that which has length, breadth, and thickness. 2. That which bounds a solid is a superficies. 3. A straight line is perpendicular, or at right angles,...with every straight line meeting it in that plane. 4. A plane is perpendicular to a plane, when the straight lines drawn in one of the planes perpendicular... | |
| Euclides - 1881 - 236 sivua
...superficies or surface. Thin definition simply signifies that the boundaries of solids are surfaces. m. A straight, line is perpendicular, or at right angles, to a plane, whei, it makes right angles with every straight line meeting it in that plane. IV. A plane is perpendicular... | |
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