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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 ... - Σελίδα 278
των Thomas Malton - 1774 - 440 σελίδες
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The Practical Teacher, Τόμος 4

1885 - 630 σελίδες
...= 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...

Annual Report

Canada. Department of the Interior - 1888 - 756 σελίδες
...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...

Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - 1889 - 356 σελίδες
...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...

The Elements of Plane and Solid Geometry: With Numerous Exercises

Edward Albert Bowser - 1890 - 420 σελίδες
...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...

The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 σελίδες
...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...

Rider Papers on Euclid (books I. and II.)

Rupert Deakin - 1891 - 102 σελίδες
...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...

Annual Report of the Chief Superintendent of Education

1891 - 718 σελίδες
...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...

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1892 - 460 σελίδες
...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...

Annual Report of the Department of Education

New Brunswick. Board of Education, New Brunswick. Department of Education - 1893 - 806 σελίδες
...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....

Annual Report of the Department of Education

New Brunswick. Board of Education, New Brunswick. Department of Education - 1893 - 800 σελίδες
...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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