The Elements of Solid GeometryLeach, Shewell & Sanborn, 1893 - 95 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 16.
Σελίδα 1
... intersection of two surfaces is a line containing all the points which are common to the two surfaces . 3. The intersection of a line and a plane is the point where the line pierces the plane . This point is called the foot of the line ...
... intersection of two surfaces is a line containing all the points which are common to the two surfaces . 3. The intersection of a line and a plane is the point where the line pierces the plane . This point is called the foot of the line ...
Σελίδα 2
... intersect , or by two parallel lines . 12. COROLLARY 4. The intersection of two planes is a straight line . For if through two points of the intersection we pass 2 THE ELEMENTS OF SOLID GEOMETRY .
... intersect , or by two parallel lines . 12. COROLLARY 4. The intersection of two planes is a straight line . For if through two points of the intersection we pass 2 THE ELEMENTS OF SOLID GEOMETRY .
Σελίδα 3
... intersection of the planes ( 2 ) . PROPOSITION II . 13. THEOREM . Only one perpendicular can be drawn from a given point to a plane . M H K P N Let QP be a perpendicular to the plane MN , drawn from P , a point in the plane ; and let TP ...
... intersection of the planes ( 2 ) . PROPOSITION II . 13. THEOREM . Only one perpendicular can be drawn from a given point to a plane . M H K P N Let QP be a perpendicular to the plane MN , drawn from P , a point in the plane ; and let TP ...
Σελίδα 4
... intersection of this plane with MN . Now , AB is perpendicular to AE ' ( 4 ) , and AE was drawn perpendicular to AB ... intersection , it is perpendicular to the plane of the two lines . A M B N Let the line AB be perpendicular to the ...
... intersection of this plane with MN . Now , AB is perpendicular to AE ' ( 4 ) , and AE was drawn perpendicular to AB ... intersection , it is perpendicular to the plane of the two lines . A M B N Let the line AB be perpendicular to the ...
Σελίδα 5
... intersections of a plane with two parallel planes are parallel lines . We have shown that AC and A'C ' are parallel ; i.e. , the intersections of the plane AC ' with the parallel planes MN and PQ are parallel lines . 19. COROLLARY 2 ...
... intersections of a plane with two parallel planes are parallel lines . We have shown that AC and A'C ' are parallel ; i.e. , the intersections of the plane AC ' with the parallel planes MN and PQ are parallel lines . 19. COROLLARY 2 ...
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.