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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 Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - Geometry - 1846 - 128 pages
...to ea. .'. ^s ABC, DEF are equiangular. Wherefore if two triangles, &c. PROP. LXXV. THEOR. 8 . SE,,. In a right angled triangle, if a perpendicular be drawn from the right angle to the opposite side, the triangles on each side of the perpendicular are similar to the whole triangle, and...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...triangle ABC may be proved to be equiangular to the triangle DEF, as in the first case. PROP. VIII. THEOR. 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...
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Euclid's Elements: Or, Second Lessons in Geometry,in the Order of Simson's ...

Dennis M'Curdy - Geometry - 1846 - 168 pages
...right angles, which are both absurd. Wherefore, if two triangles have two angles equal, &c. QED 8 Th 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 and to each other. Given the triangle...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - Geometry - 1846 - 128 pages
....•. ^s ABC, DEF are equiangular. Wherefore if two triangles, &c. PROP. LXXV. THEOR. 8 . 6 EĢ. r na right angled triangle, if a perpendicular be drawn from the right angle to the opposite side, the triangles on each side of the perpendicular are similar to the whole triangle, and...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 pages
...at C to the angle at F. Wherefore, If two triangles %c. UK o. PROP. VIII. THEOR. 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 definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 pages
...those angles equal about which the sides are proportionals. PROP. VIII. 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. COB....
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Minutes ...: Correspondence, Financial Statements, Etc., and ..., Volume 2

Great Britain. Committee on Education - 1850 - 942 pages
...diagonals of any quadrilateral is less than the sum of the four sides* 11. In any right-angled isosceles triangle, if a perpendicular be drawn from the right angle to the hypotenuse, it will divide the triangle into two triangles, which are 3c2 equal to one another, and...
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Papers for the Schoolmaster, Volume 1

1851 - 268 pages
...always nearer to the centre than the less. _ 3. To inscribe a circle in a given square. SECTION III. 1. 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. PAPERS...
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The English Journal of Education, Volume 5

Education - 1851 - 502 pages
...Triangles and parallelograms of the same altitude are to each other as their bases. 2. 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. SUCTION...
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Public Education: As Affected by the Minutes of the Committee of Privy ...

Sir James Kay-Shuttleworth - Church and education - 1853 - 554 pages
...always nearer to the centre than the less. 3. To inscribe a circle in a given square. Section 3. 1. 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. 2. Equal...
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