Elements of Geometry and Trigonometry |
From inside the book
Page 60
... draw AD : this will be the parallel required . For , drawing AE , the alternate angles AEF , EAD , are evi- dently equal ; therefore , the lines AD , EF , are parallel ( Book I. Prop . XIX . Cor . 1. ) . PROBLEM VII . Two angles of a ...
... draw AD : this will be the parallel required . For , drawing AE , the alternate angles AEF , EAD , are evi- dently equal ; therefore , the lines AD , EF , are parallel ( Book I. Prop . XIX . Cor . 1. ) . PROBLEM VII . Two angles of a ...
Page 63
... Draw the line DE = A ; at the point D , make the angle EDF == C ; take DF - B ; describe two arcs , the one from F as a cen- tre , with a radius FG = DE , the D other from E as a centre , with a radius EG = DF ; to the point A G , where ...
... Draw the line DE = A ; at the point D , make the angle EDF == C ; take DF - B ; describe two arcs , the one from F as a cen- tre , with a radius FG = DE , the D other from E as a centre , with a radius EG = DF ; to the point A G , where ...
Page 140
... draw OA , OC perpendicular to SA , SC ; draw AB , BC ; next take TE = SB ; draw EP perpendicular to the plane DTF ; from the point P draw PD , PF , perpendicular respectively to TD , TF ; lastly , draw DE , EF . The triangle SAB is ...
... draw OA , OC perpendicular to SA , SC ; draw AB , BC ; next take TE = SB ; draw EP perpendicular to the plane DTF ; from the point P draw PD , PF , perpendicular respectively to TD , TF ; lastly , draw DE , EF . The triangle SAB is ...
Contents
BOOK | 7 |
Problems relating to the First and Third Books 57 | 57 |
BOOK IV | 68 |
14 other sections not shown
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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 consequently convex surface cosine Cotang 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 number of sides opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedron polygon ABCDE PROBLEM Prop proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABC Scholium secant segment similar sine slant height solid angle solid described sphere spherical polygon spherical triangle square described straight line TABLE OF LOGARITHMIC tang tangent THEOREM triangle ABC triangular prism vertex