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 TrignonometryBell & Bradfute, 1875 - 257 sider |
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Side 79
... proportionals , when the first has the same ratio to the second that the third has to the fourth ; and the third to the fourth the same ratio which the fifth has to the sixth , and so on , whatever be their number . When four magnitudes ...
... proportionals , when the first has the same ratio to the second that the third has to the fourth ; and the third to the fourth the same ratio which the fifth has to the sixth , and so on , whatever be their number . When four magnitudes ...
Side 80
... proportionals , the ratio of the first to the fourth is said to be triplicate of the ratio of the first to the second , or of the ratio of the second to the third , & c . So also , if there are five continual proportionals , the ratio ...
... proportionals , the ratio of the first to the fourth is said to be triplicate of the ratio of the first to the second , or of the ratio of the second to the third , & c . So also , if there are five continual proportionals , the ratio ...
Side 81
... proportionals when taken two and two of each rank , and it is inferred , that the first is to the last of the first rank of magnitudes as the first is to the last of the others . Of this there are the two following kinds , which arise ...
... proportionals when taken two and two of each rank , and it is inferred , that the first is to the last of the first rank of magnitudes as the first is to the last of the others . Of this there are the two following kinds , which arise ...
Side 84
... proportionals , they are proportionals also when taken inversely . If A : B :: C : D , then also B : A :: D : C. Let mA and mC be any equimultiples of A and C ; nB and nD any equimultiples of B and D. Then , because A : B :: C : D , if ...
... proportionals , they are proportionals also when taken inversely . If A : B :: C : D , then also B : A :: D : C. Let mA and mC be any equimultiples of A and C ; nB and nD any equimultiples of B and D. Then , because A : B :: C : D , if ...
Side 87
... proportionals , as one of the an- tecedents is to its consequent , so are all the antecedents , taken together , to all the consequents . If A : B :: C : D , and C : D :: E : F ; then also A : B :: A + C + E : B + D + F . Take mA , mC ...
... proportionals , as one of the an- tecedents is to its consequent , so are all the antecedents , taken together , to all the consequents . If A : B :: C : D , and C : D :: E : F ; then also A : B :: A + C + E : B + D + F . Take mA , mC ...
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Elements of Geometry; Containing the First Six Books of Euclid, With Two ... John 1748-1819 Playfair Ingen forhåndsvisning tilgjengelig - 2021 |
Vanlige uttrykk og setninger
ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated diameter draw equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore given circle given point given straight line hypotenuse inscribed less Let ABC Let the straight meet multiple opposite angle parallel parallelogram perpendicular plane polygon prism PROB produced proportionals proposition Q. E. D. COR Q. E. D. PROP radius rectangle contained rectilineal figure remaining angle right angles segment semicircle similar sine solid angle solid parallelepipeds spherical angle spherical triangle straight line AC straight line drawn tangent THEOR third three straight lines touches the circle triangle ABC triangle DEF wherefore