| Aristotle - Ethics - 1897 - 440 pages
...be only three visible to the eye, while there are four present to I the mind. Thus in a right-angled triangle if a perpendicular be drawn from the right angle to the base, it could be shown that this perpendicular is a mean proportional between the segments of the... | |
| 1901 - 488 pages
...which joins the middle points of these two sides will bisect the figure. Prove. 10. In a right-angled triangle if a perpendicular be drawn from the right angle to the hypotenuse, the square on either of the other sides is equal to the rectangle contained by the hypotenuse... | |
| Euclid, Rupert Deakin - Euclid's Elements - 1903 - 218 pages
...double the other acute angle, the hypotenuse will be double one of the sides. 44. In a right-angled triangle if a perpendicular be drawn from the right angle to the hypotenuse, it will divide the triangle into two triangles which are equiangular to one another and... | |
| Walter Percy Workman - Geometry - 1908 - 228 pages
...the other pair are either equal or supplementary .... (Euc. VI. 7) 421 BT. 3.§ — In a right-angled triangle, if a perpendicular be drawn from the right angle to the hypotenuse, the two triangles so formed are similar to the whole triangle and to each other (Euc. VI.... | |
| Civil Service Commission of Canada - Civil service - 1910 - 240 pages
...third side. 5. If two triangles be equiangular to one another, they are similar. 6. In a right-angled triangle, if a perpendicular be drawn from the right angle to the hypotenuse, the triangles on each side of it are similar to the whole triangle and to one another.... | |
| University of South Africa - Universities and colleges - 1913 - 768 pages
...The areas of triangles or parallelograms of equal altitudes are to one another as their bases " and " In a right angled triangle, if a perpendicular be drawn from the right angle to the hypotenuse, the triangles on each side of it are similar to one another and to the whole triangle."... | |
| Newfoundland Council of Higher Education - 1914 - 228 pages
...Use this expansion to find the value of (1-02)8 to four places of decimals. (16) 5. In a right-angled triangle, if a perpendicular be drawn from the right angle to the hypotenuse, prove that the triangles so formed are similar to the whole triangle and to one another.... | |
| Education Department - 1879 - 1136 pages
...common tangent, and find the ratio of the parts of the tangent intercepted between the circles. 11. In a right angled triangle if a perpendicular be drawn from the right angle to the base, the triangles on each side of it are similar to the whole triangle and to one another. If a perpendicular... | |
| Oxford univ, exam. papers, 2nd publ. exam - 1884 - 594 pages
...of four magnitudes said to have the same ratio to the second which the third has to the fourth ? 7. In a right angled triangle, if a perpendicular be drawn from the right angle to the base, the triangles on each side of it are similar to the whole triangle and to one another. 8. Draw... | |
| Saskatchewan. Department of Education - Education - 1913 - 202 pages
...ratio which is compounded of the ratios 3:7 and 5:9. 6. (a) Define similar triangles. (b) Prove that in a right angled triangle, if a perpendicular be drawn from the right angle to the base, the triangles on each side of it are similar to the whole triangle and to each other. 7. Prove... | |
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