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 66.
Σελίδα 116
... 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 , that is ...
... 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 , that is ...
Σελίδα 117
... ratio are equal to one another . If A B C D ; and also C : DE : F ; theu A : B :: E : F. Take mA , mC mE , any ... ratio which the third has to the fourth , but the third to the fourth a greater ratio than the fifth has to the sixth ...
... ratio are equal to one another . If A B C D ; and also C : DE : F ; theu A : B :: E : F. Take mA , mC mE , any ... ratio which the third has to the fourth , but the third to the fourth a greater ratio than the fifth has to the sixth ...
Σελίδα 118
... ratio which the third has to the fourth , and if the first be greater than the third , the second shall be greater than the fourth ; if equal , equal ; and if less , less . : If A B C D ; then if A7C , B7D ; if A = C , B = D ; and if ...
... ratio which the third has to the fourth , and if the first be greater than the third , the second shall be greater than the fourth ; if equal , equal ; and if less , less . : If A B C D ; then if A7C , B7D ; if A = C , B = D ; and if ...
Σελίδα 120
... ratio ; if the first be greater than the third , the fourth is greater than the sixth ; if equal , equal ; and if less , less . If there be three magnitudes , A , B , and C , and other three D , E , and F ; and if A : B :: D : E ; and ...
... ratio ; if the first be greater than the third , the fourth is greater than the sixth ; if equal , equal ; and if less , less . If there be three magnitudes , A , B , and C , and other three D , E , and F ; and if A : B :: D : E ; and ...
Σελίδα 121
... ratio ; the first will have to the last of the first magnitudes , the same ratio which the first of the others has to the last . * First , let there be three magnitudes , A , B , C , and other three , D , E , F , which , taken two and ...
... ratio ; the first will have to the last of the first magnitudes , the same ratio which the first of the others has to the last . * First , let there be three magnitudes , A , B , C , and other three , D , E , F , which , taken two and ...
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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