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 Trigonometry |
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A new axiom is also introduced in the room of the 12th , for the purpose of demonstrating more easily some of the properties of parallel lines . In the third Book , the re- marks concerning the angles made by a straight line , and the ...
A new axiom is also introduced in the room of the 12th , for the purpose of demonstrating more easily some of the properties of parallel lines . In the third Book , the re- marks concerning the angles made by a straight line , and the ...
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And in like manner , it may be demonstrated , that no other can be in the same straight line with it but BD , which therefore is in the same straight line with CB . C PROP . VIII . THEOR . E B D If two straight lines cut one another ...
And in like manner , it may be demonstrated , that no other can be in the same straight line with it but BD , which therefore is in the same straight line with CB . C PROP . VIII . THEOR . E B D If two straight lines cut one another ...
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In like man- ner , it may be demonstrated , that BAC , ACB , as also CAB , ABC , are less than two right angles . B PROP . XI . THEOR . D The greater side of every triangle has the greater angle opposite to it .
In like man- ner , it may be demonstrated , that BAC , ACB , as also CAB , ABC , are less than two right angles . B PROP . XI . THEOR . D The greater side of every triangle has the greater angle opposite to it .
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... but DB is equal to BA and AC together ; therefore BA and AC together are greater than B с BC . In the same manner it may be demonstrated OF GEOMETRY . BOOK I. 15.
... but DB is equal to BA and AC together ; therefore BA and AC together are greater than B с BC . In the same manner it may be demonstrated OF GEOMETRY . BOOK I. 15.
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In the same manner it may be demonstrated , that the sides AB , BC are greater than CA , and BC , CĂ greater than AB . SCHOLIUM . This may be demonstrated without producing any of the sides : thus , the line BC , for example , is the ...
In the same manner it may be demonstrated , that the sides AB , BC are greater than CA , and BC , CĂ greater than AB . SCHOLIUM . This may be demonstrated without producing any of the sides : thus , the line BC , for example , is the ...
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Términos y frases comunes
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 draw Prob 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
Información bibliográfica
| Título | 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 Trigonometry |
| Autor | John Playfair |
| Editor | B. & S. Collins; W. E. Dean, printer, 1836 |
| Largo | 311 páginas |
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