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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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The Practical Teacher, Volume 4

Education - 1885 - 630 pages
...= rect. PQ, RQ (cons.). Therefore rect. PQ, PR = rect. PQ, RQ + rect. PR, RQ. 12. 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. State...
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Annual Report

Canada. Department of the Interior - 1888 - 756 pages
...in a given circle. 12. Define proportion, similar figures, homologous, extreme and mean ratio. 13. 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. 14. On...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - Mathematics - 1889 - 356 pages
...and parallelograms of the same altitude are to one another as their bases. 2 10. 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 AD...
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The Elements of Plane and Solid Geometry: With Numerous Exercises

Edward Albert Bowser - Geometry - 1890 - 420 pages
...NUMERICAL BELATIONS BETWEEN THE DLFFEREXT PAETS OF A TRIANGLE. Proposition 24. Theorem. 323. In a right triangle, if a perpendicular be drawn from the right angle to the hypotenuse : (1) The two triangles on each side of it are similar to the whole triangle and to each...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...the Theorem enunciated, but incidentally the following highly important one : — In a right-angled triangle, if a perpendicular be drawn from the right angle to the base, the square on either of the sides containing the right angle is equal to the rectangle contained...
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Rider Papers on Euclid (books I. and II.)

Rupert Deakin - Euclid's Elements - 1891 - 102 pages
...given the base, the altitude and the length of the median which bisects the base. 3. In a right-angled triangle if a perpendicular be drawn from the right angle to the hypothenuse, the two triangles thus formed are equiangular to one another. 4. Every right-angled triangle...
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Annual Report of the Chief Superintendent of Education

1891 - 718 pages
...times the angle in the other. 4. Inscribe a regular hexagon in a given circle. 5. 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. 6. Cut...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1892 - 460 pages
...respectively : shew that each of the angles ZXY, ZDY is equal to the angle BAC. 5. In a right.angled triangle, if a perpendicular be drawn from the right angle to the hypotenuse, the two triangles thus formed are equiangular to one another. 6. In a right'angled triangle...
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Annual Report of the Department of Education

New Brunswick. Board of Education, New Brunswick. Department of Education - Education - 1893 - 806 pages
...times the angle in the other. 4. Inscribe a regular hexagon in a given circle. 5. 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. •6....
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Annual Report of the Department of Education

New Brunswick. Board of Education, New Brunswick. Department of Education - Education - 1893 - 800 pages
...times the angle in the other. 4. Inscribe a regular hexagon in a given circle. 5. 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. . 6. Cut...
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