Elements of Geometry and Trigonometry |
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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 oblique 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 oblique lines be drawn to different points : 1st , The perpendicular will be shorter than any oblique line . 2d , Any two oblique lines ...
Page 23
... THEOREM . If from the middle point of a straight line , a perpendicular be drawn to this line ; 1st , Every point of the perpendicular will be equally distant from the extremities of the line . 2d , Every point , without the ...
... THEOREM . If from the middle point of a straight line , a perpendicular be drawn to this line ; 1st , Every point of the perpendicular will be equally distant from the extremities of the line . 2d , Every point , without the ...
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 ...
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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 convex surface Cosine Cotang cylinder diagonal diameter dicular distance draw drawn equal angles equally distant equiangular equivalent figure formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed polygon intersection less Let ABC let fall logarithm measured by half number of sides oblique lines 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 sine solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex