Elements of Geometry and Trigonometry |
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Page 32
... figure will be a par- allelogram . Let ABCD be a quadrilateral , having its opposite sides respectively equal , viz . AB DC , and AD = BC ; then will these sides be parallel , and the figure be a par- allelogram . - D N C A B For ...
... figure will be a par- allelogram . Let ABCD be a quadrilateral , having its opposite sides respectively equal , viz . AB DC , and AD = BC ; then will these sides be parallel , and the figure be a par- allelogram . - D N C A B For ...
Page 33
... figure will be a parallelogram . Let ABCD be a quadrilateral , having the sides AB , CD , equal and parallel ; then will the figure be a parallelogram . A D B For , draw the diagonal DB , dividing the quadrilateral into two triangles ...
... figure will be a parallelogram . Let ABCD be a quadrilateral , having the sides AB , CD , equal and parallel ; then will the figure be a parallelogram . A D B For , draw the diagonal DB , dividing the quadrilateral into two triangles ...
Page 42
... figure is one , of which all the angles have their vertices in the circumference . The circle is then said to circumscribe such a figure . 7. A secant is a line which meets the circum- ference in two points , and lies partly within and ...
... figure is one , of which all the angles have their vertices in the circumference . The circle is then said to circumscribe such a figure . 7. A secant is a line which meets the circum- ference in two points , and lies partly within and ...
Page 63
... figure is a parallelogram ( Book I. Prop . XXIX . ) : and it is formed with the given sides and the given angle . Cor . If the given angle is a right angle , the figure will be a rectangle ; if , in addition to this , the sides are ...
... figure is a parallelogram ( Book I. Prop . XXIX . ) : and it is formed with the given sides and the given angle . Cor . If the given angle is a right angle , the figure will be a rectangle ; if , in addition to this , the sides are ...
Page 67
... ratios of the angles will only be found approximatively with more or less correct- ness , according as the operation has been continued a greater or less number of times . BOOK IV . OF THE PROPORTIONS OF FIGURES , AND • 67 BOOK III .
... ratios of the angles will only be found approximatively with more or less correct- ness , according as the operation has been continued a greater or less number of times . BOOK IV . OF THE PROPORTIONS OF FIGURES , AND • 67 BOOK III .
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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