Elements of Geometry and Trigonometry |
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Page 14
... Let the straight line DC meet the straight line AB at C , then will the angle ACD + the angle DCB , be equal to two right angles . A E B At the point C , erect CE perpendicular to AB . The angle ACD is the sum of the an- gles ACE , ECD ...
... Let the straight line DC meet the straight line AB at C , then will the angle ACD + the angle DCB , be equal to two right angles . A E B At the point C , erect CE perpendicular to AB . The angle ACD is the sum of the an- gles ACE , ECD ...
Page 20
... Let the side BA be equal to the side AC ; then will the angle C be equal to the angle B. For , join the vertex A ... perpendicular to the base , and divides the angle at the vertex into two equal parts . In a triangle which is not ...
... Let the side BA be equal to the side AC ; then will the angle C be equal to the angle B. For , join the vertex A ... perpendicular to the base , and divides the angle at the vertex into two equal parts . In a triangle which is not ...
Page 22
... 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 , drawn on different sides of the perpen- dicular ...
... 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 , drawn on different sides of the perpen- dicular ...
Page 23
Adrien Marie Legendre. Let A be the given point , DE the given line , AB the perpendicular , and AD , AC , AE , the oblique lines . Produce the perpendicular AB till BF is equal to AB , and draw FC , FD . First . The triangle BCF , is ...
Adrien Marie Legendre. Let A be the given point , DE the given line , AB the perpendicular , and AD , AC , AE , the oblique lines . Produce the perpendicular AB till BF is equal to AB , and draw FC , FD . First . The triangle BCF , is ...
Page 24
... perpendicular is equally distant from the extremities A and B. E Secondly , Let I be a point out of the perpen- dicular . If IA and IB be drawn , one of these lines will cut the perpendicular in D ; from which , drawing DB , we shall ...
... perpendicular is equally distant from the extremities A and B. E Secondly , Let I be a point out of the perpen- dicular . If IA and IB be drawn , one of these lines will cut the perpendicular in D ; from which , drawing DB , we shall ...
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Common terms and phrases
adjacent adjacent angles altitude angle ACB angle BAC ar.-comp base multiplied bisect Book VII centre chord circ circumference circumscribed common cone convex surface Cosine cylinder diagonal diameter dicular distance divided draw drawn equally distant equations equivalent feet figure find the area formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed circle inscribed polygon intersection less Let ABC logarithm number of sides opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular perpendicular let fall plane MN polyedron polygon ABCDE PROBLEM proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABCDE Scholium secant segment similar Sine Cotang slant height solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex