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 TrigonometryE. Duyckinck, and George Long, 1824 - 333 σελίδες |
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Αποτελέσματα 6 - 10 από τα 24.
Σελίδα 59
... double of the square of half the line , and of the square of the line between the points of section . Let the straight line AB be divided at the point C into two equal , and at D into two unequal parts : The squares of AD , DB are toge ...
... double of the square of half the line , and of the square of the line between the points of section . Let the straight line AB be divided at the point C into two equal , and at D into two unequal parts : The squares of AD , DB are toge ...
Σελίδα 60
... double of the square of half the line bisected , and of the square of the line made up of the half and the part produced . " D ; Let the straight line AB be bisected in C , and produced to the point ; the squares of AD , DB are double ...
... double of the square of half the line bisected , and of the square of the line made up of the half and the part produced . " D ; Let the straight line AB be bisected in C , and produced to the point ; the squares of AD , DB are double ...
Σελίδα 64
... double of the square of half the side bisected , and of the square of the line drawn from the point of bisection to the opposite an- gle of the triangle . Let ABC be a triangle , of which the side BC is bisected in D , and DA drawn to ...
... double of the square of half the side bisected , and of the square of the line drawn from the point of bisection to the opposite an- gle of the triangle . Let ABC be a triangle , of which the side BC is bisected in D , and DA drawn to ...
Σελίδα 76
... double of CG : But AB is equal to CD ; therefore AF is equal to CG : And be- cause AE is equal to EC , the square of ... double of AF , and CD double of CG , and that the squares of EF , FA are equal to the squares of EG , GC ; of which ...
... double of CG : But AB is equal to CD ; therefore AF is equal to CG : And be- cause AE is equal to EC , the square of ... double of AF , and CD double of CG , and that the squares of EF , FA are equal to the squares of EG , GC ; of which ...
Σελίδα 77
... double of BH and FG double of FK , and the squares of EH , HB are equal to the squares of EK , KF , of which the square of EH is less than the square of EK , because EH is less than EK ; there- fore the square of BH is greaer than the ...
... double of BH and FG double of FK , and the squares of EH , HB are equal to the squares of EK , KF , of which the square of EH is less than the square of EK , because EH is less than EK ; there- fore the square of BH is greaer than the ...
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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 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 parallelepipeds 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 shewn side BC sine solid angle solid parallelepipeds spherical angle spherical triangle straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore