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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. "
Euclid's Elements: Or, Second Lessons in Geometry,in the Order of Simson's ... - Page 92
by Dennis M'Curdy - 1846 - 138 pages
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - Geometry - 1846 - 130 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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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - Geometry - 1846 - 130 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 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...triangles on each side of it are similar to the whole triangle, and to one another. COB. From this it is manifest, that the perpendicular drawn from the...
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Minutes ...: Correspondence, Financial Statements, Etc., and ..., Volume 2

Great Britain. Committee on Education - 1850 - 914 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
...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...triangles on each side of it are similar to the whole triangle and to one another. PAPERS FOE THE SCHOOLHASTEB. 2. Equal triangles, which have one angle...
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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...triangles on each side of it are similar to the whole triangle, and to each other. SUCTION V.—1. Describe an isosceles triangle, each of the sides of which...
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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...triangles on each side of it are similar to the whole triangle and to one another. 2. Equal triangles which have one angle of the one equal to one angle...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853
...the triangle DEF. Wherefore, if two triangles, etc. QE i>. PROPOSITION VIII. THEOR. In a right-angled triangle, if a perpendicular be drawn from the right...triangles on each side of it are similar to the whole trianyle, and to one another. Let ABC be a right-angled triangle, having the right angle BAC ; and...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - Geometry - 1853 - 176 pages
...triangle def Wherefore, if two triangles, &e. QED PROPOSITION VIII. — THEOREM. In a right-angled triangle, if a perpendicular be drawn from the right...triangles on each side of it are similar to the whole triangle and to one another. LET abС be a right-angled triangle, having the right angle ba С ; and...
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Public Education: As Affected by the Minutes of the Committee of Privy ...

Sir James Kay-Shuttleworth - Church and education - 1853 - 522 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...angle to the base, the triangles on each side of it arc similar to the whole triangle and to one another. 2. Equal triangles which have one angle of the...
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