Elements of Geometry and Trigonometry |
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Page 13
... line can be drawn which shall be parallel to a given line . 13. Magnitudes , which being applied to each other , coincide throughout their whole extent , are equal . B PROPOSITION I. THEOREM . If one straight line meet another BOOK I. 13.
... line can be drawn which shall be parallel to a given line . 13. Magnitudes , which being applied to each other , coincide throughout their whole extent , are equal . B PROPOSITION I. THEOREM . If one straight line meet another BOOK I. 13.
Page 21
... angle C - B , then the side AB = AC ( Prop . XII . ) ; which is also contrary to the supposition . Therefore , when AB > AC , the angle C must be greater than B. PROPOSITION XIV . THEOREM . From a given point , BOOK I. ' 21.
... angle C - B , then the side AB = AC ( Prop . XII . ) ; which is also contrary to the supposition . Therefore , when AB > AC , the angle C must be greater than B. PROPOSITION XIV . THEOREM . From a given point , BOOK I. ' 21.
Page 22
Adrien Marie Legendre Charles Davies. PROPOSITION XIV . THEOREM . From a given point , without a straight line , only one perpendicu- lar can be drawn to that line . Let A be the point , and DE the given line .. B Let us suppose that we ...
Adrien Marie Legendre Charles Davies. PROPOSITION XIV . THEOREM . From a given point , without a straight line , only one perpendicu- lar can be drawn to that line . Let A be the point , and DE the given line .. B Let us suppose that we ...
Page 23
Adrien Marie Legendre Charles Davies. 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 ...
Adrien Marie Legendre Charles Davies. 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 ...
Page 24
Adrien Marie Legendre Charles Davies. H Let AB be the given straight line , C the os od 15 . middle point , and ECF the perpendicular.qo od First , Since AC = CB , the two oblique lines up AD , DB , are equally distant from the perpen ...
Adrien Marie Legendre Charles Davies. H Let AB be the given straight line , C the os od 15 . middle point , and ECF the perpendicular.qo od First , Since AC = CB , the two oblique lines up AD , DB , are equally distant from the perpen ...
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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 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