Elements of Geometry and Trigonometry |
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Page 10
... parallel , when being situated in the same plane , they cannot meet , how far soever , either way , both of them be produced . 13. A plane figure is a plane terminated on all sides by lines , either straight or curved . If the lines are ...
... parallel , when being situated in the same plane , they cannot meet , how far soever , either way , both of them be produced . 13. A plane figure is a plane terminated on all sides by lines , either straight or curved . If the lines are ...
Page 11
... parallel . [ A The rhombus , or lozenge , which has its sides equal , without having its angles right angles . And lastly , the trapezoid , only two of whose sides are parallel . 18. A diagonal is a line which joins the ver- tices of ...
... parallel . [ A The rhombus , or lozenge , which has its sides equal , without having its angles right angles . And lastly , the trapezoid , only two of whose sides are parallel . 18. A diagonal is a line which joins the ver- tices of ...
Page 13
... 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 . PROPOSITION I. THEOREM . If one straight line meet another BOOK I. 13.
... 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 . PROPOSITION I. THEOREM . If one straight line meet another BOOK I. 13.
Page 25
... parallel , For , if they could meet in a point O , on either side of AB , there would be two per- B C D pendiculars ... parallel . Let the two lines EC , BD , meet the third line BA , making the an- gles BAC , ABD , together equal to two ...
... parallel , For , if they could meet in a point O , on either side of AB , there would be two per- B C D pendiculars ... parallel . Let the two lines EC , BD , meet the third line BA , making the an- gles BAC , ABD , together equal to two ...
Page 26
... parallel . Cor . 2. If a straight line EF , meet two straight lines CD , AB , making the exterior angle EGB equal to the interior and opposite angle GOD , the two lines will be parallel . For , to each add the angle OGB : we shall then ...
... parallel . Cor . 2. If a straight line EF , meet two straight lines CD , AB , making the exterior angle EGB equal to the interior and opposite angle GOD , the two lines will be parallel . For , to each add the angle OGB : we shall then ...
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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 convex surface Cosine 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 logarithm number of sides opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular perpendicular let fall plane MN polyedron polygon ABCDE PROBLEM proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABCDE Scholium secant segment similar Sine Cotang slant height solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex