Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious Notes and IllustrationsA. Constable & Company, 1817 - 432 Seiten |
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Seite 43
... altitude of a triangle is a perpendicular let fall from the vertex upon the base or its ex- tension . 3. The altitude of a trapezoid is the perpendicular drawn from one of its parallel sides to the other . 4. The complements of ...
... altitude of a triangle is a perpendicular let fall from the vertex upon the base or its ex- tension . 3. The altitude of a trapezoid is the perpendicular drawn from one of its parallel sides to the other . 4. The complements of ...
Seite 44
... altitude , and stand on the same base , are equivalent . The triangles ABC and ADC which stand on the same base AC and have the same altitude , contain equal spaces . For join the vertices B , D by a straight line , which pro- duce both ...
... altitude , and stand on the same base , are equivalent . The triangles ABC and ADC which stand on the same base AC and have the same altitude , contain equal spaces . For join the vertices B , D by a straight line , which pro- duce both ...
Seite 45
... altitude , and stand on equal bases , are equivalent . The triangles ABC , DEF , standing on equal bases AC and DF and having the same altitude , contain equal spaces . For let the bases AC , DF be placed in the same straight line ...
... altitude , and stand on equal bases , are equivalent . The triangles ABC , DEF , standing on equal bases AC and DF and having the same altitude , contain equal spaces . For let the bases AC , DF be placed in the same straight line ...
Seite 46
... altitude . If the triangles ABC and ADC , standing on the same base AC , contain equal spaces , they have the same alti- tude , or the straight line which joins their vertices is pa- rallel to AC . B. For if BD be not parallel to AC ...
... altitude . If the triangles ABC and ADC , standing on the same base AC , contain equal spaces , they have the same alti- tude , or the straight line which joins their vertices is pa- rallel to AC . B. For if BD be not parallel to AC ...
Seite 47
... altitude and stand on the same base AC , they are ( II . 1. ) equivalent ; take each of them away from the space ACDE , and there remains the quadrilateral fi- gure FCDE equivalent to the five - sided figure ABCDE . Again , because the ...
... altitude and stand on the same base AC , they are ( II . 1. ) equivalent ; take each of them away from the space ACDE , and there remains the quadrilateral fi- gure FCDE equivalent to the five - sided figure ABCDE . Again , because the ...
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Elements of Geometry, and Plane Trigonometry: With an Appendix, and Very ... University Professor Emeritus John Leslie, Sir Keine Leseprobe verfügbar - 2016 |
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ABCD adjacent angle altitude angle ABC angle ADB angle BAC base AC bisect centre chord circle circumference consequently construction contained angle cosine decagon denote describe diameter difference distance diverging lines divided draw equal to BC equilateral triangle equivalent to twice evidently exterior angle given greater half Hence hypotenuse inscribed isosceles triangle join let fall likewise measure parallel perpendicular point G polygon PROB PROP Proposition quadrilateral figure quantities radius ratio rectangle rectangle contained rectilineal figure rhomboid right angles right-angled triangle Scholium segments semicircle semiperimeter sequently side AC sinB sine square of AB square of AC straight line tangent THEOR tion triangle ABC twice the rectangle twice the square vertex vertical angle whence Wherefore