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 |
Inni boken
Resultat 1-3 av 18
Side 113
... multiple of the second , that the multiple of the third has to the multiple of the fourth Let A : B : : C : D , and let m and n be any two numbers ; mA : nB :: mC ; nD . $ Take of mA and mC equimultiples by any number p , and of nB and ...
... multiple of the second , that the multiple of the third has to the multiple of the fourth Let A : B : : C : D , and let m and n be any two numbers ; mA : nB :: mC ; nD . $ Take of mA and mC equimultiples by any number p , and of nB and ...
Side 115
... multiple or a part of the second , the third is the same multiple or the same part of the fourth . : Let A B :: C : D , and first , let A be a multiple of B , C is the same multiple of D , that is , if AmB , C = mD . Take of A and C ...
... multiple or a part of the second , the third is the same multiple or the same part of the fourth . : Let A B :: C : D , and first , let A be a multiple of B , C is the same multiple of D , that is , if AmB , C = mD . Take of A and C ...
Side 116
... multiple of C that exceeds mA + mB ; then nC - C , that is , ( n - 1 ) C ( 1. 5. ) will be less than mAmB , or mA + ... multiple of A + B by m exceeds the multiple of C by n · 1 , but the multiple of A by m does not exceed the multiple ...
... multiple of C that exceeds mA + mB ; then nC - C , that is , ( n - 1 ) C ( 1. 5. ) will be less than mAmB , or mA + ... multiple of A + B by m exceeds the multiple of C by n · 1 , but the multiple of A by m does not exceed the multiple ...
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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