The Elements of Solid GeometryLeach, Shewell & Sanborn, 1893 - 95 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 9.
Σελίδα 1
... straight line be passed through any two of its points , the line will lie wholly in the surface . When a line lies wholly in a plane , it may be said of the plane that it passes through the line . 2. The intersection of two surfaces is a ...
... straight line be passed through any two of its points , the line will lie wholly in the surface . When a line lies wholly in a plane , it may be said of the plane that it passes through the line . 2. The intersection of two surfaces is a ...
Σελίδα 2
... straight line lying in a plane ( 1 ) . Now , we may conceive of the plane as rotating about the line as an axis , and thus occupying successively an indefinite number of positions . But the plane in any position is a plane through the ...
... straight line lying in a plane ( 1 ) . Now , we may conceive of the plane as rotating about the line as an axis , and thus occupying successively an indefinite number of positions . But the plane in any position is a plane through the ...
Σελίδα 3
... straight line , all the points of that line must be common to the two planes ( 1 ) ; and no point without this line can be common to the two planes ( 8 ) . Hence , the straight line must be the line of intersection of the planes ( 2 ) ...
... straight line , all the points of that line must be common to the two planes ( 1 ) ; and no point without this line can be common to the two planes ( 8 ) . Hence , the straight line must be the line of intersection of the planes ( 2 ) ...
Σελίδα 4
... straight line at a given point lie in a plane which is perpendicular to the line at the given point . M B A N Let any line AE be drawn perpendicular to the line AB at a given point A ; and let MN be a plane passing through A , and ...
... straight line at a given point lie in a plane which is perpendicular to the line at the given point . M B A N Let any line AE be drawn perpendicular to the line AB at a given point A ; and let MN be a plane passing through A , and ...
Σελίδα 6
... line are parallel to each other . For , from the parallelograms AC ' and AB ' , we derive that , the lines CC ' and ... straight line is perpendicular to one of two parallel planes , it is perpendicular to the other also . M P A B E D F ...
... line are parallel to each other . For , from the parallelograms AC ' and AB ' , we derive that , the lines CC ' and ... straight line is perpendicular to one of two parallel planes , it is perpendicular to the other also . M P A B E D F ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
ABC and DEF ABC-B altitude are equal axis base and altitude bases are equal bisecting centre circle circumference coincide common altitude common vertex conical surface COROLLARY cube cuboid DEFINITIONS diameter dicular diedral angle EDC-O equal with respect equivalent faces is called feet Find the volume frustum Hence inscribed prism intersection lateral edges lateral faces lateral surface Let the line line BA lune MN and PQ mutually equal O-ABCD oblique parallelopiped parallel planes parallelogram pass perimeter perpen perpendicular to MN plane angle plane MN plane PQ polar triangle polyedral angle prisms whose bases radii radius regular polyedrons regular polygon right angles right circular cone right prism right section SCHOLIUM sides slant height sphere spherical angle spherical excess spherical polygon spherical triangle straight line tetraedron THEOREM triangles ABC triangular prism triangular pyramids triedral
Δημοφιλή αποσπάσματα
Σελίδα 48 - Assuming that the areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles...
Σελίδα 46 - Similar cylinders are to each other as the cubes of their altitudes, or as the cubes of the diameters of their bases.
Σελίδα 4 - If a straight line is perpendicular to each of two other straight lines at their point of intersection, it is perpendicular to the plane of the two lines.
Σελίδα 49 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.
Σελίδα 94 - Two triangles are equal if two sides and the included angle of the one are equal respectively to two sides and the included angle of the other (sas = sas). Hyp. In A ABC and A'B'C', AB = A'B', BC = B'C', and Z B = Z B'.
Σελίδα 46 - The lateral areas, or the total -areas, of two similar cones of revolution are to each other as the squares of their altitudes...
Σελίδα 6 - Theorem: If a straight line is perpendicular to one of two parallel planes, it is perpendicular, also, to the other plane.
Σελίδα 9 - ... meeting the plane at unequal distances from the foot of the perpendicular the more remote is the greater.
Σελίδα 56 - A spherical angle is measured by the arc of a great circle described from its vertex as a pole, and included between its sides, produced if necessary.