Elements of Geometry: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle, and the Geometry of Solids: to which are Added Elements of Plane and Spherical TrigonometryCollins & Hannay, 1860 - 333 sider |
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Resultat 1-3 av 80
Side 33
... greater side , has the greater side opposite to it . Of Let ABC be a triangle , of which the angle ABC is greater than the angle BCA ; the side AC is likewise greater than the side AB . For , if it be not greater , AC must either be ...
... greater side , has the greater side opposite to it . Of Let ABC be a triangle , of which the angle ABC is greater than the angle BCA ; the side AC is likewise greater than the side AB . For , if it be not greater , AC must either be ...
Side 34
... greater than the angle BAC . Produce BĎ to E ; and because two sides of a triangle ( 20. 1. ) are greater than the third side , the two sides BA , AE of the triangle ABE are greater than BE . To each of these add EC ; therefore the ...
... greater than the angle BAC . Produce BĎ to E ; and because two sides of a triangle ( 20. 1. ) are greater than the third side , the two sides BA , AE of the triangle ABE are greater than BE . To each of these add EC ; therefore the ...
Side 116
... greater ratio than A has to C ; and C has a greater ratio to A than it has to A + B . Let m be such a number that mA and mB are each of them greater than C ; and let nC be the least multiple of C that exceeds mA + mB ; then nC - C ...
... greater ratio than A has to C ; and C has a greater ratio to A than it has to A + B . Let m be such a number that mA and mB are each of them greater than C ; and let nC be the least multiple of C that exceeds mA + mB ; then nC - C ...
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Vanlige uttrykk og setninger
ABC is equal ABCD altitude angle ABC angle ACB angle BAC angle EDF arch AC base BC bisected centre circle ABC circumference cosine cylinder demonstrated diameter draw equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given straight line greater hypotenuse inscribed join less Let ABC Let the straight line BC magnitudes meet multiple opposite angle parallel parallelogram perpendicular polygon prism PROB produced proportionals proposition Q. E. D. COR Q. E. D. PROP radius ratio rectangle contained rectilineal figure remaining angle segment semicircle side BC sine solid angle solid parallelopipeds spherical angle spherical triangle straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore