Elements of Geometry and Trigonometry |
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Page 41
... expression may always be easily recurred to if we bear in mind that the circle is a surface which has length and breadth ... expressed . An inscribed triangle is one which , like BAC , D * 6 BOOK III . 41 BOOK III The Circle and the ...
... expression may always be easily recurred to if we bear in mind that the circle is a surface which has length and breadth ... expressed . An inscribed triangle is one which , like BAC , D * 6 BOOK III . 41 BOOK III The Circle and the ...
Page 52
... expressed in whole numbers , the arcs AB , DE , will be to each other as the angles ACB , DCE . Scholium . Conversely , if the arcs , AB , DE , are to each other as two whole numbers , the angles ACB , DCE will be to each other as the ...
... expressed in whole numbers , the arcs AB , DE , will be to each other as the angles ACB , DCE . Scholium . Conversely , if the arcs , AB , DE , are to each other as two whole numbers , the angles ACB , DCE will be to each other as the ...
Page 53
... expressed by some number between 0 and 1 ; an obtuse an- gle by some number between 1 and 2. This mode of express- ing angles would not , however , be the most convenient in practice . It has been found more simple to measure them by ...
... expressed by some number between 0 and 1 ; an obtuse an- gle by some number between 1 and 2. This mode of express- ing angles would not , however , be the most convenient in practice . It has been found more simple to measure them by ...
Page 68
... designates more particularly the super- ficial content of the figure . The area is expressed numeri- • cally by the number of times which the figure 68 GEOMETRY . BOOK IV The Proportions of Figures and the Measurement of Areas,
... designates more particularly the super- ficial content of the figure . The area is expressed numeri- • cally by the number of times which the figure 68 GEOMETRY . BOOK IV The Proportions of Figures and the Measurement of Areas,
Page 73
... expression has passed into arithmetic , where it serves to designate the product of two unequal numbers , the expression square being employed to designate the product of a number multiplied by itself . The arithmetical squares of 1 , 2 ...
... expression has passed into arithmetic , where it serves to designate the product of two unequal numbers , the expression square being employed to designate the product of a number multiplied by itself . The arithmetical squares of 1 , 2 ...
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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