Elements of Geometry, Geometrical Analysis, and Plane Trigonometry: With an Appendix, and Copious Notes and IllustrationsJ. Ballantyne and Company, 1811 - 500 páginas |
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Página 27
... position , CD , in which the line revolving about the point F makes the exterior angle EFC equal to the interior EGA ... given point , to draw a straight line pa- rallel to a given straight line . To draw , through the point C , a ...
... position , CD , in which the line revolving about the point F makes the exterior angle EFC equal to the interior EGA ... given point , to draw a straight line pa- rallel to a given straight line . To draw , through the point C , a ...
Página 174
... given figure . The same reasoning , it is manifest , would extend to poly ... position , the construction may be still farther simplified ; For , having ... given base FK be parallel to the corresponding side AE of the original figure , a ...
... given figure . The same reasoning , it is manifest , would extend to poly ... position , the construction may be still farther simplified ; For , having ... given base FK be parallel to the corresponding side AE of the original figure , a ...
Página 177
... given rectilineal figure . Let it be required to describe a rectilineal figure similar to A , and equivalent to B ... position , a figure X similar to the rectilineal figure A ; this will be likewise equivalent to B. For the figures ...
... given rectilineal figure . Let it be required to describe a rectilineal figure similar to A , and equivalent to B ... position , a figure X similar to the rectilineal figure A ; this will be likewise equivalent to B. For the figures ...
Página 195
... position , that the points I and K lie in the same di- rection AB . In like man- ner , it appears ( II . 23. cor ... given distance . Suppose it were required to cut off the fifth part of the dis- tance between the points A and B. Repeat ...
... position , that the points I and K lie in the same di- rection AB . In like man- ner , it appears ( II . 23. cor ... given distance . Suppose it were required to cut off the fifth part of the dis- tance between the points A and B. Repeat ...
Página 212
... given in position , when its centre is given ; it is given in magnitude , if its radius be given . 5. Rectilineal figures are said to be given in species , when figures similar to them are given . PROP . I. PROB . From two given points , ...
... given in position , when its centre is given ; it is given in magnitude , if its radius be given . 5. Rectilineal figures are said to be given in species , when figures similar to them are given . PROP . I. PROB . From two given points , ...
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Términos y frases comunes
ABCD adjacent angle ANALYSIS angle ABC angle ACB angle BAC base AC bisect centre chord circumference COMPOSITION conse consequently the angle contained angle decagon describe a circle diameter distance diverging lines draw equal to BC evidently exterior angle given circle given in position given point given ratio given space given straight line greater hence hypotenuse inflected inscribed intercepted intersection isosceles triangle join let fall likewise mean proportional Note opposite parallel perpendicular point G polygon porism PROB PROP proposition quently radius rectangle rhomboid right angles Scholium segments semicircle semiperimeter side AC similar sine square of AB square of AC straight line given tangent THEOR triangle ABC twice the square vertex vertical angle whence wherefore