 | Robert Simson - Trigonometry - 1762 - 488 pages
...the lefler fphere. and as one antecedent ii. c. Cor. 8.ii. Book XII. antecedent is to its confequent, fo are all the antecedents to all the confequents. Wherefore the whole folid polyhedron in the greater fphere has to the whole folid polyhedron in the other, the triplicate ratio of that... | |
 | Euclid - Geometry - 1765 - 492 pages
...femidiameter of the other. But [by i2. 5.] as one of the antecedents is to one of the confequents, fo are all the antecedents to all the confequents : Wherefore the whole folid polyhedron which is in one of the fpheres about the centre A, is to the other in the triplicate ratio of the femidiameter... | |
 | John Keill - Geometry - 1772 - 464 pages
...Consequents, fo are all T the 274 Euclid's ELEMENTS. 'Book' XII. the Antecedents to all the Cqnfequents. Wherefore the whole folid Polyhedron, -which is in the Sphere defcribed about the Centre A, to the whole folid Polyhedron that is in the other Sphere, hath a triplicate Proportion of.that... | |
 | Robert Simson - Trigonometry - 1775 - 534 pages
...which AB has to the femidiameter of the lelTer fphere. And as one antecedent is to its confequent, fo are all the antecedents to all the confequents. Wherefore the whole folid polyhedron in the greater fphere has to the whole folid polyhedron in the other, the triplicate ratio of that... | |
 | Euclid - 1781 - 552 pages
...which AB has to the femidiameter of the leffer fphere. And as one antecedent is to its confequent, fo are all the antecedents to all the confequents. Wherefore the whole folid polyhedron in the greater fphere has to the whole folid polyhedron in the other, the triplicate ratio of that... | |
 | John Keill - Geometry - 1782 - 472 pages
...of the other Sphere : And as one of the Antecedents is to one ottheConfequcms, fo arc all T the . ^ the Antecedents to all the Confequents. Wherefore...Polyhedron, which is* in the Sphere defcribed about the Centre A, to the whole folid PotyheJjon that is in the other Sphere, hath a triplicate Proportion of... | |
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And as one antecedent is to its confequent, fo are all the antecedents to all the confequents. Wherefore the whole folid polyhedron in the greater fphere has to the whole folid polyhedron in the other, the triplicate ratio of that which AB... 