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" 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. "
Euclid's Elements: Or, Second Lessons in Geometry,in the Order of Simson's ... - Page 92
by Dennis M'Curdy - 1846 - 138 pages
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Annual Report, Volumes 2-3

Civil Service Commission of Canada - Civil service - 1910 - 238 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....
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The Calendar

University of South Africa - 1913
...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."...
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Report of the Examinations Conducted by the Council of Higher Education ...

Newfoundland Council of Higher Education - 1914 - 226 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....
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Textile Calculations, Manufacture and Mechanism

Joseph Henry Whitwam - Textile fabrics - 1920 - 427 pages
...— "In a right-angled triangle, if a perpendicular is 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." FIG. 73. Exercise. — On AB = 4" describe a semicircle (Fig. 73). Draw...
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Examination,Midsummer,1879

Education Department - 1879
...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...triangles on each side of it are similar to the whole triangle and to one another. If a perpendicular drawn to the opposite side from one of the angles of...
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Pass school, group A (-D).

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...triangles on each side of it are similar to the whole triangle and to one another. 8. Draw a straight line perpendicular to a given straight line of unlimited...
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Annual Report - Dept. of Education

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...triangles on each side of it are similar to the whole triangle and to each other. 7. Prove that in two similar triangles the medians that bisect corresponding...
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Report of the Minister of Education

Education - 1869
...line. 11. Inscribe an equiangular and equilateral pentagon in a given circle. 12. In a right-angled triangle if a perpendicular be drawn from the right...triangles on each side of it are similar to the whole triangle, and to each other. No. 15. NATURAL PHILOSOPHY— BOTH DIVISIONS. 1. Describe briefly the...
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Report of Her Majesty's Civil Service Commissioners: Together ..., Volumes 15-16

1870 - 962 pages
...square of the line which touches it. 5. Inscribe a circle in a given triangle. 6. In 8 right-angled triangle, if a perpendicular be drawn from the right...triangles on each side of it are similar to the whole triangle, and to one another. 7. Through any point within a circle draw (I) the greatest possible chord...
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Parliamentary Papers, Volume 40

Great Britain. Parliament. House of Commons - Great Britain - 1852 - 192 pages
...figure. SECTION IV. 1. In a circle the angle in a semicircle is a right angle. 2. In a right-angled triangle, if a perpendicular be drawn from the right...triangles on each side of it are similar to the whole triangle, and to each other. 289. C3 3. Show 3. Show that in a parallelogram the sum of the squares...
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