Elements of Geometry and Trigonometry |
From inside the book
Results 11-15 of 35
Page 114
... intersections , will form the regular circumscribed polygon GHIK & c . similar to the one inscribed . N P H T G B A S K Q L R M Since T is the middle point of the arc BTA , and N the mid- dle point of the equal arc BNC , it follows ...
... intersections , will form the regular circumscribed polygon GHIK & c . similar to the one inscribed . N P H T G B A S K Q L R M Since T is the middle point of the arc BTA , and N the mid- dle point of the equal arc BNC , it follows ...
Page 126
... intersection at the same point . This angle may be acute , obtuse , or a right angle . If it is a right angle , the two planes are perpendicular to each other . 5. A solid angle is the angular space in- cluded between several planes ...
... intersection at the same point . This angle may be acute , obtuse , or a right angle . If it is a right angle , the two planes are perpendicular to each other . 5. A solid angle is the angular space in- cluded between several planes ...
Page 127
... intersect each other , lie in the same plane , and determine its position . Let AB , AC , be two straight lines which intersect each other in A ; a ... intersection will be a straight line . 5 Let the two planes AB , CD , cut BOOK VI . 127.
... intersect each other , lie in the same plane , and determine its position . Let AB , AC , be two straight lines which intersect each other in A ; a ... intersection will be a straight line . 5 Let the two planes AB , CD , cut BOOK VI . 127.
Page 128
... intersection . E B Thesis PROPOSITION IV . THEOREM . If a straight line be perpendicular to two straight lines at their point of intersection , it will be perpendicular to the plane of those lines . Let MN be the plane . of the two ...
... intersection . E B Thesis PROPOSITION IV . THEOREM . If a straight line be perpendicular to two straight lines at their point of intersection , it will be perpendicular to the plane of those lines . Let MN be the plane . of the two ...
Page 129
... intersection with the plane MN is PQ ; then these two perpendiculars would be per- pendicular to the line PQ , at the same point , and in the same plane , which is impossible ( Book I. Prop . XIV . Sch . ) . It is also impossible to let ...
... intersection with the plane MN is PQ ; then these two perpendiculars would be per- pendicular to the line PQ , at the same point , and in the same plane , which is impossible ( Book I. Prop . XIV . Sch . ) . It is also impossible to let ...
Other editions - View all
Common terms and phrases
adjacent adjacent angles altitude angle ACB angle BAC ar.-comp base multiplied bisect Book centre chord circ circumference circumscribed common cone consequently convex surface cylinder diagonal diameter dicular distance draw drawn equal angles equally distant equation equiangular equivalent figure formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed circle inscribed polygon intersection less Let ABC let fall logarithm measured by half number of sides opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedron polygon ABCDE prism proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABC Scholium secant secant line segment side BC similar solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex