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" A plane is perpendicular to a plane, when the straight lines drawn in one of the planes perpendicular to the common section of the two planes, are perpendicular to the other plane. 5. The inclination of a straight line to a plane... "
The mechanical Euclid, containing the elements of mechanics and hydrostatics - Sivu 22
tekijä(t) William Whewell - 1837
Koko teos - Tietoja tästä kirjasta

The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

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...

The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

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...

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

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...

The Theory of Navigation and Nautical Astronomy: Together with the Elements ...

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...

Mensuration for Beginners: With Numerous Examples

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,...

The Elements of Euclid, containing the first six books, with a selection of ...

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...

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

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...

Spherical Trigonometry, for the Use of Colleges and Schools: With Numerous ...

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...

The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

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...

The Elements of geometry; or, The first six books, with the eleventh and ...

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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