Elements of Geometry and Trigonometry |
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Page 28
... given , if through two points E and F , assumed at pleasure , the straight lines EG , FH , be drawn perpendicular to AB , these straight A lines will at the same time be G D. B T E perpendicular to CD ( Prop . XX . Cor . 1. ) : and we ...
... given , if through two points E and F , assumed at pleasure , the straight lines EG , FH , be drawn perpendicular to AB , these straight A lines will at the same time be G D. B T E perpendicular to CD ( Prop . XX . Cor . 1. ) : and we ...
Page 29
... right angles ( Prop . I. ) . 1 Cor . 1. Two angles of a triangle being given , or merely their sum , the third will be found by subtracting that sum from two right angles . C * Cor . 2. If two angles of one triangle are BOOK I. 29.
... right angles ( Prop . I. ) . 1 Cor . 1. Two angles of a triangle being given , or merely their sum , the third will be found by subtracting that sum from two right angles . C * Cor . 2. If two angles of one triangle are BOOK I. 29.
Page 43
... given ; but when the proposition is found in a different Book , the number of the Book is also given . If the radii AC , EO , are equal , BOOK III . ยท 43.
... given ; but when the proposition is found in a different Book , the number of the Book is also given . If the radii AC , EO , are equal , BOOK III . ยท 43.
Page 45
... this perpendicular is the same as the one let fall from the centre on the same chord , since both of them pass through the centre and middle of the chord . PROPOSITION VII . THEOREM . Through three given points not BOOK III . 45.
... this perpendicular is the same as the one let fall from the centre on the same chord , since both of them pass through the centre and middle of the chord . PROPOSITION VII . THEOREM . Through three given points not BOOK III . 45.
Page 46
... given points A , B , C. We have now shown that one circumference can always be made to pass through three given points , not in the same straight line : we say farther , that but one can be described through them . For , if there were a ...
... given points A , B , C. We have now shown that one circumference can always be made to pass through three given points , not in the same straight line : we say farther , that but one can be described through them . For , if there were a ...
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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