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 Βιβλία Βιβλία 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. The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ... - Σελίδα 43
των Euclid, James Thomson - 1837 - 390 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο ## The New Free-mason's Monitor: Or, Masonic Guide. For the Direction of ...

James Hardie - 1818 - 360 σελίδες
...of Euclid. The theorem is, that " in any right angled triangle, the square, which is described upon the side subtending the right angle, is equal to the...described upon the sides, which contain the right angle " This was a discovery made by our illustrious friend and brother, the great PYTHAGORAS, who, as it... ## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 333 σελίδες
...right angles. PROP. XLVII. THEOR. In any right angled triangle, the square which is described upon the side subtending the right angle, is equal to the'...sides which contain the right angle. Let ABC be a right angled triangle having the right angle BAC ;. the square described upon the side BC is equal... ## The New Free-mason's Monitor: Or, Masonic Guide. For the Direction of ...

James Hardie - 1819 - 346 σελίδες
...of Euelid. The theorem is, that" in any right angled triangle, the square, which is described upon the side subtending the right angle, is equal to the...described upon the sides, which contain the right angle.'' This was a discovery made by oar illustrious friend and brother, the great PYTHAGORAS, who, as it has... ## The American Masonic Register, and Ladies' and Gentlemen's Magazine, Τόμοι 1-2

1821
...right angled triangle, the square which is described upon the side subtending the right angle, was equal to the squares described upon the sides which contain the right angle," he with excessive joy exclaimed, in the Greek language, Eureka, " I have found it;" and upon the discovery... ## A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 372 σελίδες
...Propoíifion XL FT/. Theorem, In any right-angled triangle, the square which is described upon the ¿de subtending the right angle, is equal to the squares...be a right-angled triangle having the right angle, ВАС ; the square described upon the side BC is equal to the squares described upon BA, AC. On BC... ## Solutions of the Cambridge Problems: From 1800 to 1820, Τόμος 2

...angles equal ten right angles ? 2. In any right-angled triangle, the square -when is described upon the side subtending the right angle, is equal to the...described upon the sides which contain the right angle. 3. If E be any point in a rectangle, AE3 + ED8 = EB" + EC9. 4. Bisect the four, sides of the trapezium... ## The Republican, Τόμος 12

Richard Carlile - 1825
...general good of mankind. 5 THEOREM.] In any right-angled triangle, tlie square which is described upon the side subtending the right angle, is equal to the...described Upon the sides which contain the right angle. Euclid, lib. i. prop. 47, Erery art which is necessary for the support of authority and food government,... ## Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826
...angle is a rectangle. PROPOSITION XLVII. THEOREM. In right angled triangles the square described upon the side subtending the right angle is equal to the squares described on the sides containing the right angle. Let ABC be a right angled triangle, having the right angle... ## Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 180 σελίδες
...angle is a rectangle. PROPOSITION XLVII. THEOREM. In right angled triangles the square described upon the side subtending the right angle is equal to the squares described on the sides containing the right angle. Let ABC be a right angled triangle, having the right angle... ## The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 513 σελίδες
...right angles. PROP. XLVII. THEOR. In any right-angled triangle, the square which is described upon the side subtending the right angle, is equal to the...the right angle BAC : the square described upon the side BC shall be equal to the squares described upon BA, AC. On BC describe* the square BDEC, and on...