Elements of Geometry and Trigonometry |
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Page 13
... drawn . 12. Through the same point , only one straight line can 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 ...
... drawn . 12. Through the same point , only one straight line can 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 ...
Page 18
... drawn to the extremities of either side , their sum will be less than the sum of the two other sides of the triangle . Let any point , as O , be taken within the trian- gle BAC , and let the lines OB , OC , be drawn to the ...
... drawn to the extremities of either side , their sum will be less than the sum of the two other sides of the triangle . Let any point , as O , be taken within the trian- gle BAC , and let the lines OB , OC , be drawn to the ...
Page 20
... drawn from the vertex of an isosceles triangle to the middle point of its base , is perpendicular to the base , and divides the angle at the vertex into two equal parts . In a triangle which is not isosceles , any side may be assumed ...
... drawn from the vertex of an isosceles triangle to the middle point of its base , is perpendicular to the base , and divides the angle at the vertex into two equal parts . In a triangle which is not isosceles , any side may be assumed ...
Page 22
... drawn to that line . Let A be the point , and DE the given line . A B E Let us suppose that we can draw two ... drawn , which is impossible ( Ax . 11. ) : hence , two perpendiculars cannot be drawn from the same point to the same ...
... drawn to that line . Let A be the point , and DE the given line . A B E Let us suppose that we can draw two ... drawn , which is impossible ( Ax . 11. ) : hence , two perpendiculars cannot be drawn from the same point to the same ...
Page 23
... drawn ; for , if there could be more , we should have at least two equal oblique lines on the same side of the perpendicular , which is impossible . PROPOSITION XVI . THEOREM . If from the middle point of a straight line , a ...
... drawn ; for , if there could be more , we should have at least two equal oblique lines on the same side of the perpendicular , which is impossible . PROPOSITION XVI . THEOREM . If from the middle point of a straight line , a ...
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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