Elements of Geometry; Containing the First Six Books of Euclid ...For Bell & Bradfute, 1814 - 461 Seiten |
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Seite i
... SOLIDS ; TO WHICH ARE ADDED , ELEMENTS OF PLANE AND SPHERICAL TRIGONOMETRY . BY JOHN PLAYFAIR , F. R. S. LOND . & EDIN . PROFESSOR OF NATURAL PHILOSOPHY , FORMERLY OF MATHEMATICS , IN THE UNIVERSITY OF EDINBURGH . FOURTH EDITION ...
... SOLIDS ; TO WHICH ARE ADDED , ELEMENTS OF PLANE AND SPHERICAL TRIGONOMETRY . BY JOHN PLAYFAIR , F. R. S. LOND . & EDIN . PROFESSOR OF NATURAL PHILOSOPHY , FORMERLY OF MATHEMATICS , IN THE UNIVERSITY OF EDINBURGH . FOURTH EDITION ...
Seite ix
... - tremely simple , has been omitted by Euclid , and hardly ever treated of , in an elementary form , by ... any geometer.v With respect to the Geometry of Solids , in the J Third Book , I have departed from EUCLID altoge . PREFACE . ix.
... - tremely simple , has been omitted by Euclid , and hardly ever treated of , in an elementary form , by ... any geometer.v With respect to the Geometry of Solids , in the J Third Book , I have departed from EUCLID altoge . PREFACE . ix.
Seite xi
... solid contents to any given solid , ( because a solid , whatever be its base , as its height may be indefinitely varied , is capable of all degrees of magnitude , from nothing upwards ) , and yet it may in many cases be a problem of ex ...
... solid contents to any given solid , ( because a solid , whatever be its base , as its height may be indefinitely varied , is capable of all degrees of magnitude , from nothing upwards ) , and yet it may in many cases be a problem of ex ...
Seite xii
... solids , from the pyramid to the sphere . The compari- son of this last solid with the cylinder , concludes the last Book of the Supplement , and is a proposi- tion that may not improperly be considered as ter- minating the elementary ...
... solids , from the pyramid to the sphere . The compari- son of this last solid with the cylinder , concludes the last Book of the Supplement , and is a proposi- tion that may not improperly be considered as ter- minating the elementary ...
Seite 246
... , though produced ever so far . VIII . A solid angle is an angle made by the meeting of more than two plane angles , which are not in the same plane , in one point . by ) to deltowe Book II . PROP . I. THEOR . One part 246 ELEMENTS.
... , though produced ever so far . VIII . A solid angle is an angle made by the meeting of more than two plane angles , which are not in the same plane , in one point . by ) to deltowe Book II . PROP . I. THEOR . One part 246 ELEMENTS.
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ABC is equal ABCD altitude angle ABC angle ACB angle BAC arch AC base BC bisected Book centre circle ABC circumference cosine cylinder definition demonstrated described diameter draw drawn equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles GEOMETRY given straight line greater hypotenuse inscribed join less Let ABC Let the straight line BC magnitudes meet opposite angle parallel parallelogram perpendicular polygon prism PROB proportional 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 SPHERICAL TRIGONOMETRY straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore