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 TrigonometryB. & S. Collins; W. E. Dean, printer, 1836 - 311 sider |
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Side
... whole work , not contained in any previous edition . A few useful Problems , especially in Surveying , are also added to the Sixth Book ; so that this edition of PLAYFAIR'S Geometry , it is presumed , will be found better adapted for ...
... whole work , not contained in any previous edition . A few useful Problems , especially in Surveying , are also added to the Sixth Book ; so that this edition of PLAYFAIR'S Geometry , it is presumed , will be found better adapted for ...
Side
... whole is so clearly and directly perceived , that I am persuaded no more difficulty will be found in under- standing the propositions of the fifth Book than those of any other of the Elements . In the second Book , also , some algebraic ...
... whole is so clearly and directly perceived , that I am persuaded no more difficulty will be found in under- standing the propositions of the fifth Book than those of any other of the Elements . In the second Book , also , some algebraic ...
Side 1
... whole of any thing is greater than a part of it ; or , the whole is equal to all its parts taken together ; or , two quantities that are each of them equal to a third quantity , are equal to each other . 5. A Theorem is a demonstrative ...
... whole of any thing is greater than a part of it ; or , the whole is equal to all its parts taken together ; or , two quantities that are each of them equal to a third quantity , are equal to each other . 5. A Theorem is a demonstrative ...
Side 8
... whole extent . They then fill the same space . 9. The whole is greater than any of its parts . 10. The whole is equal to the sum of all its parts . 11. All right angles are equal to one another . 12. " Two straight lines which intersect ...
... whole extent . They then fill the same space . 9. The whole is greater than any of its parts . 10. The whole is equal to the sum of all its parts . 11. All right angles are equal to one another . 12. " Two straight lines which intersect ...
Side 9
... whole triangle ABC shall coincide with the whole triangle DEF , so that the spaces which they contain or their areas are equal ; and the remaining angles of the one shall coincide with the remaining angles of the other , and be equal to ...
... whole triangle ABC shall coincide with the whole triangle DEF , so that the spaces which they contain or their areas are equal ; and the remaining angles of the one shall coincide with the remaining angles of the other , and be equal to ...
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Elements Of Geometry John Playfair,William Wallace,John Davidsons Ingen forhåndsvisning tilgjengelig - 2023 |
Elements Of Geometry John Playfair,William Wallace,John Davidsons Ingen forhåndsvisning tilgjengelig - 2023 |
Vanlige uttrykk og setninger
ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC angles equal base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated diameter divided equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles 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 PROP proposition quadrilateral radius ratio rectangle contained rectilineal figure remaining angle right angled triangle SCHOLIUM segment semicircle shewn side BC sine solid angle solid parallelopiped spherical angle spherical triangle square straight line BC THEOR third touches the circle triangle ABC triangle DEF wherefore