Elements of Geometry: Containing the First Six Books of Euclid: With a Supplement ... to which are Added, Elements of Plane and Sphericale Trigonometry ... From the Last London Ed., EnlJ.B. Lippincott & Company, 1866 - 317 Seiten |
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... SOLIDS : - TO WHICH ARE ADDED , ELEMENTS OF PLANE AND SPHERICALE TRIGONOMETRY . BY JOHN PLAYFAIR , F.R.S. Lond . & Edin . PROFESSOR OF NATURAL PHILOSOPHY , FORMERLY OF MATHEMATICS , IN THE UNIVERSITY OF EDINBURGH . from the last LONDON ...
... SOLIDS : - TO WHICH ARE ADDED , ELEMENTS OF PLANE AND SPHERICALE TRIGONOMETRY . BY JOHN PLAYFAIR , F.R.S. Lond . & Edin . PROFESSOR OF NATURAL PHILOSOPHY , FORMERLY OF MATHEMATICS , IN THE UNIVERSITY OF EDINBURGH . from the last LONDON ...
Seite 106
... solids . 2. When a number , or a letter denoting a number , is written close to " another letter denoting a magnitude of any kind , it signifies that the " magnitude is multiplied by the number . Thus , 3A signifies three " times A ; mB ...
... solids . 2. When a number , or a letter denoting a number , is written close to " another letter denoting a magnitude of any kind , it signifies that the " magnitude is multiplied by the number . Thus , 3A signifies three " times A ; mB ...
Seite 182
... 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 . PRCP . I. THEOR . One part of a straight line cannot be in a plane and another part above it . C If it be ...
... 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 . PRCP . I. THEOR . One part of a straight line cannot be in a plane and another part above it . C If it be ...
Seite 192
... solid angle be contained by three plane angles , any two of these angles are greater than the third . Let the solid angle at A be contained by the three plane angles BAC , CAD , DAB . Any two of them are greater than the third . If the ...
... solid angle be contained by three plane angles , any two of these angles are greater than the third . Let the solid angle at A be contained by the three plane angles BAC , CAD , DAB . Any two of them are greater than the third . If the ...
Seite 193
... solid angle are together less than four right angles . B A Let A be a solid ang e contained by any number of plane angles BAC , CAD , DAE , EAF , FAB ; these together are less than four right angles . Let the planes which contain the solid ...
... solid angle are together less than four right angles . B A Let A be a solid ang e contained by any number of plane angles BAC , CAD , DAE , EAF , FAB ; these together are less than four right angles . Let the planes which contain the solid ...
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ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated described diameter divided draw equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given rectilineal given straight line greater Hence hypotenuse inscribed join less Let ABC Let the straight magnitudes meet multiple opposite angle parallel parallelogram parallelopiped perpendicular polygon prism PROB PROP proportional proposition quadrilateral radius ratio rectangle contained rectilineal figure remaining angle right angled triangle SCHOLIUM segment semicircle shewn side BC sine solid angle spherical angle spherical triangle square straight line BC THEOR third touches the circle triangle ABC triangle DEF wherefore