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" In any right-angled triangle, the square which is described upon the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle. "
A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ... - Side 75
av Euclides - 1874
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...can be thus inscribed. PROP. XLVII. THEOREM. In any right-angled triangle, the square described upon the side subtending the right angle, is equal to the squares described upon the two sides, containing the right angle. Let ABС be a right-angled triangle, having the right...
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Universal Masonic Library, Volum 2

Robert Macoy - 1855
...and is as follows : — THEOREM. " In any right-angled triangle, the square which is described upon the side subtending the right angle, is equal to the squares described upon the sides containing the right angle." THE DEMONSTRATION. In {geometrical solutions and demonstrations...
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The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856
...squares described upon the sides which contain the right angle. Let ABC (Fig. 36) be a right angled triangle having the right angle BAC ; the square described on the side BC is equal to the squares described upon BA, A C. Let BDEC be the square described on BC ; GB, HC the...
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The theocratic philosophy of freemasonry, 12 lectures

George Oliver - 1856
...are equal to two right angles. 3. In any right-angled triangle, the square which is described upon the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle. ignominy, and his memory will be covered with reproach....
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856
...greater than two right angles. 5. In any right-angled triangle, the square which is described upon the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle. 6. If a straight line be divided into any two parts,...
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A course of practical geometry for mechanics

William Pease - 1856
...and so on, for any number. REASON : " In any right-angled triangle, the square which is described on the side subtending the right angle, is equal to the squares described upon tlie sides which contain the right angle." (Euclid, Book I. Prop. 47.) Note. — Any similar figures...
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Elements of Geometry and Conic Sections

Elias Loomis - 1858 - 234 sider
...square described on the hypothenuse is equivalent to the sum of the squares on the othei t\t>(, sides. Let ABC be a right-angled triangle, having the right angle BAC ; the ., ^ „ square described upon the side BC is _ equivalent to the sum of the squares upon BA, AC. On BC describe the square BCED,...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 12 sider
...of the interior opposite angles. 2. In any right angled triangle the square which is described upon the side subtending the right angle is equal to the squares described upon the sides which contain the right angle. VOLUNTARY PORTION. 1. Describe a circle about a given...
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A Treatise on Practical Mensuration

Anthony Nesbit - 1859 - 450 sider
...triangle, the square of the hypothenuse is equal to the sum of the squares of the other two sides. Let ABC be a right-angled triangle, having the right angle BAC ; the square of the side BC is equal to the sum of the squares of the sides AB, AC. (Euc. I. 47. Simp. H. 8. Em....
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A Lexicon of Freemasonry

Albert Gallatin Mackey - 1859 - 524 sider
...Master's degree, is thus enunciated. "In any right angled triangle, the square which is described upon the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle." This interesting problem, on account of its great utility...
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