 | Robert Simson - Trigonometry - 1806 - 546 pages
...CoR. From this it is manifest, that the perpendicular drawn fram 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: because in the triangles BDA, ADC, BD is to DA, as DA to DC b ;... | |
 | John Playfair - Mathematics - 1806 - 320 pages
...right angled triangle, &c. QED • fCOR. 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 each of the sides is a mean proportional between the base and its segment adjacent to that side. For,... | |
 | Euclides - 1816 - 588 pages
...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 proportional between the segments of the .s. base: And also, that each of the sides is a mean proper.. tional between the base, and its segment... | |
 | John Playfair - Circle-squaring - 1819 - 350 pages
...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...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 - Surveying - 1824 - 476 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 is to BA, as BA to BD... | |
 | Euclides - 1826 - 226 pages
...evident, if in a right angled triangle a perpendicular be drawn from the right angle at the base, it is a mean proportional between the segments of the...sides is a mean proportional between the base and its segment adjacent to that side. Deduction. PROPOSITION IX. PROBLEM. From a given right line to cut... | |
 | Euclid - 1826 - 234 pages
...evident, if in a right angled triangle a perpendicular be drawn from the right angle at the base, it is a mean proportional between the segments of the...sides is a mean proportional between the base and its segment adjacent to that side. Deduction. To divide a given finite right line into two parts, such... | |
 | Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...this it is manifest, that the perpendieular drawn, from the right angle of aright angled-triangle, to the base, is a mean proportional between the segments of the base; and also that eaeh of the sides is a mean proportional between the base, and its segment adjaeent to that side. For... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...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 proportional between...proportional between the base, and the segment of it adjacent to that side : because in the triangles BDA, *4.e. ADC, BD is to DA*, as DA to DC; and... | |
 | Euclid, Robert Simson - Geometry - 1829 - 548 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 the segments of the base : and alse that each of the sides is a mean proportional between the base, and its segment adjacent to that... | |
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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,... 
