 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...COR. From this it is manifest, that the perpendicular, drawn from the right angle of a right angled triangle, to the base, is a mean proportional between...sides is a mean proportional between the base, and its segment adjacent to that side. For in the triangles BDA, ADC, BD : DA : : DA : DC (4. 6.) ; and... | |
 | Anthony Nesbit - Plane trigonometry - 1847 - 492 pages
...each other. Also the perpendicular AD is a mean proportional between the segments of the base ; and each of the sides is a mean proportional between the base and its segment adjacent to that side ; therefore BD is to DA, as DA to DC ; BC istoBA,asBAtoBD; and BC... | |
 | Euclides - 1848 - 52 pages
...and to one another. COB. From this it is manifest, that the perpendicular drawn from the right angle of a right-angled triangle to the base, is a mean...sides is a mean proportional between the base and its segment adjacent to that side. PROP. IX. PROBLEM. From a given straight line to cut off any part... | |
 | John Playfair - Euclid's Elements - 1849 - 332 pages
...COR. From this it is manifest, that the perpendicular, drawn from the right angle of a right angled triangle, to the base, is a mean proportional between...segments of the base ; and also that each of the sides is amean proportional between the base, and its segment adjacent to that side. For in the triangles BDA,... | |
 | Euclides - Geometry - 1853 - 176 pages
...right-angled triangle, &c. QED COR. From this it is manifest that the perpendicular drawn from the right angle of a right-angled triangle to the base, is a mean...sides is a mean proportional between the base, and its segment adjacent to that side : because in the triangles bda, ad С, bd is to da, as da to d С... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...triangle ABC : 118 COR. From this it is manifest, that the perpendicular drawn from the right angle of a right-angled triangle to the base, is a mean...sides is a mean proportional between the base, and its segment adjacent to that side: because in the triangles BDA, ADC, BD is to DA, as DA to DC (4.... | |
 | William Somerville Orr - Science - 1854 - 534 pages
...&c. QED Сок. From this it is manifest that the perpendicular from the vertex of the right angle of a right-angled triangle to the base is a mean proportional...between the segments of the base ; and also that each side about the right angle is a mean proportional between the base, and the segment of it adjacent... | |
 | Euclides - 1855 - 230 pages
...VI. Def. 1. COROLLARY. From this it is manifest, that the perpendicular drawn from the right angle of a right-angled triangle to the base, is a mean...sides is a mean proportional between the base, and its segment adjacent to that side : because in the triangles BDA, ADC, BD is to DA, as DA is to DC... | |
 | Euclides - 1855 - 270 pages
...right-angled triangle to the hypotenuse, is a mean proportional between the segments of the hypotenuse ; and also that each of the sides is a mean proportional between the hypotenuse, and the segment of it adjacent to that side. For in the triangles BDA and ADС, BD is to... | |
 | Euclid - 1859 - 150 pages
...right-angled triangle to the hypotenuse is a mean proportional between the segments of the hypotenuse; and also that each of the sides is a mean proportional between the hypotenuse and the segment of it adjacent to that side. PROPOSITION IX __ PROBLEM. TTpórairie 6'.... | |
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COR. From this it is manifest, that the perpendicular drawn from the right angle of a right-angled triangle to the base, is a mean proportional between the segments of the base; and also that each of the sides is a mean proportional between the base,... 
