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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... "
Elements of Geometry, Briefly, Yet Plainly Demonstrated by Edmund Stone
av Euclid - 1728
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 488 sider
...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...
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Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books

Euclid - 1765 - 492 sider
...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...
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

John Keill - 1772 - 462 sider
...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...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - 1775 - 534 sider
...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...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 sider
...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...
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Euclid's Elements of Geometry: From the Latin Translation of Commandine, to ...

John Keill - 1782 - 476 sider
...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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