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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Seite 1
... CIRCLE , AND THE GEOMETRY OF 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 ...
... CIRCLE , AND THE GEOMETRY OF 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 ...
Seite 9
... circle . 13. A diameter of a circle is a straight line drawn through the centre , and terminated both ways by the circumference . 14. A semicircle is the figure contained by a diameter and the part of the circumference cut off by the ...
... circle . 13. A diameter of a circle is a straight line drawn through the centre , and terminated both ways by the circumference . 14. A semicircle is the figure contained by a diameter and the part of the circumference cut off by the ...
Seite 11
... circle may be described from any centre at any distance from that centre AXIOMS . 1. THINGS which are equal to the same thing are equal to one another . 2. If equals be added to equals , the wholes are equal . 3. If equals be taken from ...
... circle may be described from any centre at any distance from that centre AXIOMS . 1. THINGS which are equal to the same thing are equal to one another . 2. If equals be added to equals , the wholes are equal . 3. If equals be taken from ...
Seite 12
... circle BCD , and from the cen- tre B , at the distance BA , describe the circle ACE ; and from the point C , in which the circles cut one an- other , draw the straight lines ( 1 . Post . ) CA , CB to the points A , B ; ABC is an ...
... circle BCD , and from the cen- tre B , at the distance BA , describe the circle ACE ; and from the point C , in which the circles cut one an- other , draw the straight lines ( 1 . Post . ) CA , CB to the points A , B ; ABC is an ...
Seite 13
... circle DEF ; and because A. is the centre of the circle DEF , AE is equal to AD ; but the straight line C is likewise equal to AD ; whence AE and C are each of them equal to AD ; wherefore the straight line AE is equal to ( 1. Ax . ) C ...
... circle DEF ; and because A. is the centre of the circle DEF , AE is equal to AD ; but the straight line C is likewise equal to AD ; whence AE and C are each of them equal to AD ; wherefore the straight line AE is equal to ( 1. Ax . ) C ...
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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