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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. "
A Royal Road to Geometry: Or, an Easy and Familiar Introduction to the ... - Page 278
by Thomas Malton - 1774 - 440 pages
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Lectures in the Lyceum Or Aristotle's Ethics for English Readers

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...
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Annual Report of the Commissioners ..., Volume 67

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...
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Euclid, Book 1

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...
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Intermediate Geometry: Being Sections V and VI of "geometry, Theoretical 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....
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Annual Report, Volumes 2-3

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....
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The Calendar

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."...
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Report of the Examinations Conducted by the Council of Higher Education ...

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....
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Examination,Midsummer,1879

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...
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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 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...
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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 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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