Elements of Geometry and Trigonometry |
From inside the book
Results 6-10 of 100
Page 21
... THEOREM . Conversely , if two angles of a triangle are equal , the sides oppo- site them are also equal , and the triangle is isosceles . Let the angle ABC be equal to the angle ACB ; then will the side AC be equal to the side AB . D ...
... THEOREM . Conversely , if two angles of a triangle are equal , the sides oppo- site them are also equal , and the triangle is isosceles . Let the angle ABC be equal to the angle ACB ; then will the side AC be equal to the side AB . D ...
Page 22
... THEOREM . If from a point without a straight line , a perpendicular be let fall on the line , and obliqué lines be drawn to different points : 1st , The perpendicular will be shorter than any oblique line . 2d , Any two oblique lines ...
... THEOREM . If from a point without a straight line , a perpendicular be let fall on the line , and obliqué lines be drawn to different points : 1st , The perpendicular will be shorter than any oblique line . 2d , Any two oblique lines ...
Page 24
... THEOREM . If two right angled triangles have the hypothenuse and a side of the one , equal to the hypothenuse and a side of the other , each to each , the remaining parts will also be equal , each to each , and the triangles themselves ...
... THEOREM . If two right angled triangles have the hypothenuse and a side of the one , equal to the hypothenuse and a side of the other , each to each , the remaining parts will also be equal , each to each , and the triangles themselves ...
Page 25
... THEOREM . If two straight lines meet a third line , making the sum of the interior angles on the same side of the line met , equal to two right angles , the two lines will be parallel . Let the two lines EC , BD , meet the third line BA ...
... THEOREM . If two straight lines meet a third line , making the sum of the interior angles on the same side of the line met , equal to two right angles , the two lines will be parallel . Let the two lines EC , BD , meet the third line BA ...
Page 28
... THEOREM . Two straight lines which are parallel to a third line , are parallel to each other . Let CD and AB be parallel to the third line EF ; then are they parallel to each other . Draw PQR perpendicular to EF , and cutting AB , CD ...
... THEOREM . Two straight lines which are parallel to a third line , are parallel to each other . Let CD and AB be parallel to the third line EF ; then are they parallel to each other . Draw PQR perpendicular to EF , and cutting AB , CD ...
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