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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 test-book for students; comprising sets of examination papers upon ... - Página 27
por Thomas Stantial - 1859
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Euclid's Elements: Or, Second Lessons in Geometry,in the Order of Simson's ...

Dennis M'Curdy - 1846 - 166 páginas
...p. 23, 1; (4) p. 4. 6 ; (c) p. 9, 5 ; (d)p.5, 1; (e)p. 13, 1; (/)p. 17, 1. 8 Th. In a right angled triangle, if a perpendicular be drawn from the right...triangles on each side of it are similar to the whole and to each other. Given the triangle ABC, right angled at C : the perpendicular CD divides ABC into...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846 - 128 páginas
...DEF are equiangular. Wherefore if two triangles, &c. PROP. LXXV. THEOR. 8 . 6 E«. 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 Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846 - 128 páginas
...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 definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 páginas
...equiangular, and shall have those angles equal about which the sides are proportionals. PROP. VIII. THEOREM. In a right-angled triangle, if a perpendicular be...similar to the whole triangle, and to one another. COB. From this it is manifest, that the perpendicular drawn from the right angle of a right-angled...
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Minutes ...: Correspondence, Financial Statements, Etc., and ..., Volumen2

Great Britain. Committee on Education - 1850 - 942 páginas
...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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The English Journal of Education, Volumen5

1851 - 502 páginas
...side : and likewiie the two interior angles upon the same side together equal to two right angles. 2. In a right-angled triangle, if a perpendicular be...side of it are similar to the whole triangle, and to each other. 3. To describe a square that shall be equal to a given rectilineal figure. SECTION IV.—1....
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Papers for the Schoolmaster, Volumen1

1851 - 268 páginas
...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...similar to the whole triangle and to one another. PAPERS FOE THE SCHOOLHASTEB. 2. Equal triangles, which have one angle of the one equal to one angle...
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The English Journal of Education, Volumen6

1852 - 512 páginas
...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...similar to the whole triangle and to one another. 2. Equal triangles which have one angle of the one equal to one angle of the other, have their sides...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 176 páginas
...equiangular to the triangle def Wherefore, if two triangles, &e. QED PROPOSITION VIII. — THEOREM. In a right-angled triangle, if a perpendicular be...similar to the whole triangle and to one another. LET abС be a right-angled triangle, having the right angle ba С ; and from the point a let ad be...
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Public Education: As Affected by the Minutes of the Committee of Privy ...

Sir James Kay-Shuttleworth - 1853 - 554 páginas
...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...similar to the whole triangle and to one another. 2. Equal triangles which have one angle of the one equal to one angle of the other, have their sides...
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