 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...right-angled, &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...proportional between the base, and the segment of it adjacent to that side : because in the triangles BDA, ADC; BD is to DA, as DA to DC; (vr. 4.) and... | |
 | Eucleides - 1860 - 396 pages
...each oilier. 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 - 1860 - 288 pages
...From this it is manifest that the perpendicular drawn from the right angle of a right-angleoXriangle 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 and ADC, BD : DA : : DA : DC (VI. 4) ;... | |
 | Woolwich roy. military acad - 1861 - 572 pages
...the base, show that the perpendicular is a mean proportional between the segments of the base, and each of the sides is a mean proportional between the base and the segment adjacent to that side. the circle that is escribed touching the base and the two equal sides produced.... | |
 | Euclides - 1863 - 122 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 ADC, BD is to... | |
 | Euclides - 1864 - 448 pages
...right-angled, &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...proportional between the base, and the segment of it adjacent to that side : because in the triangles BDA, ADC; BD is to DA, as DA to DC; (vI. 4.) and... | |
 | Robert Potts - 1865 - 528 pages
...perpendicidar drawn from the right angle of ft right-angled triangle to the base, is a mean propertional between the segments of the base ; and also that each...proportional between the base, and the segment of it adjacent to that side : because in the triangles BDA, ADC ; BD is to DA, as DA to DC; (vi. 4.) and... | |
 | Euclides - 1865 - 402 pages
...similar to the whole triangle, and to one another. Cor. 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. Prop. 9. From a given straight line to cut off any part required. Prop. 10. To divide a given straight... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...triangle &c. QED COBOLLARY. From this it is manifest, that the perpendicular drawn from the right angle of a right-angled triangle to the base, is a mean...base adjacent to that side. For, in the triangles DBA, DAC, BD is to DA as DA is to DC; [VI. 4. and in the triangles ABC, DBA, J3C is to BA as BA is... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...triangle &c. QED 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...base adjacent to that side. For, in the triangles DBA, DAC, BD is to DA as DA is to DC; [VI. 4. and in the triangles ABC, DBA, BC is to BA as BA is to... | |
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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,... 
