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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Σελίδα xi
... solid , and actually to exhibit it . Now , this very supposition , that on a given base a solid of a given magnitude may be constituted , is one of those , by the introduction of which , the Geometry of solids is much shortened , while ...
... solid , and actually to exhibit it . Now , this very supposition , that on a given base a solid of a given magnitude may be constituted , is one of those , by the introduction of which , the Geometry of solids is much shortened , while ...
Σελίδα xii
... solids , from the pyramid to the sphere . The comparison of this last solid with the cylinder , concludes the last Book of the Supplement , and is a proposition that may not improperly be considered as terminating the elementary part of ...
... solids , from the pyramid to the sphere . The comparison of this last solid with the cylinder , concludes the last Book of the Supplement , and is a proposition that may not improperly be considered as terminating the elementary part of ...
Σελίδα 21
... Solids ; to which are Added Elements of Plane and Spherical Trigonometry John Playfair. POSTULATES . I. LET it be granted that a straight line may be drawn from any one point to any other point . II . That a terminated straight line may ...
... Solids ; to which are Added Elements of Plane and Spherical Trigonometry John Playfair. POSTULATES . I. LET it be granted that a straight line may be drawn from any one point to any other point . II . That a terminated straight line may ...
Σελίδα 23
... Solids ; to which are Added Elements of Plane and Spherical Trigonometry John Playfair. the remainder AL is equal to the remainder ( 3. Ax . ) BG : But it has been shewn that BC is equal to BG ; wherefore AL and BC are each of them equal ...
... Solids ; to which are Added Elements of Plane and Spherical Trigonometry John Playfair. the remainder AL is equal to the remainder ( 3. Ax . ) BG : But it has been shewn that BC is equal to BG ; wherefore AL and BC are each of them equal ...
Σελίδα 25
... Solids ; to which are Added Elements of Plane and Spherical Trigonometry John Playfair. remainder CG ; and FC was proved to be equal to GB , therefore the two sides BF , FC are equal to the two CG , GB , each to each ; but the angle BFC ...
... Solids ; to which are Added Elements of Plane and Spherical Trigonometry John Playfair. remainder CG ; and FC was proved to be equal to GB , therefore the two sides BF , FC are equal to the two CG , GB , each to each ; but the angle BFC ...
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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