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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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First Public Examination in Literis Graecis Et Latinis

University of Oxford - Greek language - 1879 - 412 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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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - Geometry - 1879 - 282 pages
...equals the common angle GBH, and DEF will be equal to ABC. Proposition 8. Theorem.—In a right-angled triangle, if a perpendicular be drawn from the right angle to the base, the triangles on each side are similar to the whole triangle and to each other. Let ABC be a...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...to the triangle DEF. Wherefore, if two trianglet &c. QED PROPOSITION 8. THEOREM. 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. Let ABC...
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Military examinations. Mathematical examination papers, set at entrance to ...

Sandhurst roy. military coll - 1880 - 68 pages
...about each of their angles, be proportionals, the triangles shall be equiangular. 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. Describe...
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The Cambridge Examiner, Volume 2

Education, Higher - 1882 - 498 pages
...right angles by a line drawn from the centre to the point without the circle. 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. If...
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University local half-hour examination papers

John Robertson (LL.D., of Upton Park sch.) - Examinations - 1882 - 152 pages
...angles shall be equal to one another. 6. Define similar triangles : and show 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 one another. 7. Describe...
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The Practical Teacher, Volume 2

Education - 1883 - 658 pages
...sides about the equal angles of triangles which are equiangular to one another are proportional. 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 •ire similar to one another. If the segments of the base are...
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The Practical Teacher; with which is Incorporated the Practical ..., Volume 2

Joseph Hughes - Education - 1883 - 578 pages
...sides about the equal angles of triangles which are triangular to one another are proportional. 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 one another. If the segments of the base are...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...Therefore the triangle ABC is equiangular to the triangle DEF. PROPOSITION 8. THEOREM. 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. Let ABC...
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The Elements of Euclid, books i. to vi., with deductions, appendices and ...

Euclides - 1884 - 434 pages
....L BC. If BC : CA = AB : AD, then A ABC is right-angled. PROPOSITION 8. THEOREM. 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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