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" In any right-angled triangle, the square which is described on the side subtending the right angle is equal to the squares described on the sides which contain the right angle. "
Calendar, for the Year ... - Page xlviii
1897
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 pages
...XXXI. THEOR. IN right angled triangles the rectilineal figure described upon %the side opposite to the right angle is equal to the similar and similarly described figures upon the sides containing the right angle. a 8. 6. b4. 6. c 2. Cor. 20.6 Let ABC be a right angled...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...THEOR. IN right angled triangles, the rectilineal figure des- See N cribed upon the side opposite to the right angle is equal to the similar and similarly described figures upon the sides containing the right angle. Let ABC be a right angled triangle, having the right angle...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pages
...PROB. IN right angled triangles, the rectilineal figure de- see N. scribed upon the side opposite to the right angle, is equal to the similar and similarly described figures upon the sides containing the right angle. Let ABC be a right angled triangle, having the right angle...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1819 - 350 pages
...XXXI. THEOR. 5 . In right angled triangles, the rectilineal figure described upon the side opposite to the right angle, is equal to the similar, and similarly described figures upon the sides containing the right angle. Let ABC be a right angled tritnglc, having the right angle...
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The Elements of geometry [Euclid book 1-3] in general terms, with notes &c ...

Euclides - 1821 - 294 pages
...sides of a right angled triangle any similar rectilineal ^figures be similarly described, the Jigure described on the side subtending the right angle is equal to the sum of the Jtgures on the other two sides which contain the right angle. From the right *Z- draw a...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1046 pages
...done. THEOREM. In right angled triangles, the rectilineal figure described upon the tide opjiosile to the right angle, is equal to the similar and similarly described figures upon the sides containing the right angle. Let ABC be a right angled triangle, having the right angle...
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The Elements of geometry [Euclid book 1-3] in general terms, with notes &c ...

Euclides - 1833 - 304 pages
...on the sides of a right angled triangle any similar rectilineal figures be similarly described, the figure described on the side subtending the right angle is equal to the sum of the figures on the other two sides, which contain the right angle. •' • , From the right...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 pages
...THEOR. In right angled triangles, the rectilineal figure de- See N. scribed upon the side opposite to the right angle, is equal to the similar, and similarly described figures upon the sides containing the right angle. Let ABC be a right angled triangle, having the right angle...
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Mathematical Problems and Examples, Arranged According to Subjects, from the ...

Mathematics - 1836 - 366 pages
...— 0 ? £ 17. In right-angled triangles the rectilineal figure described upon the side opposite to the right angle, is equal to the similar and similarly described figures upon the sides containing the right angle. 18. If a straight line be at right angles to a plane, every...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

Mathematics - 1836 - 488 pages
...the line. XXXI. In right angled triangles, the rectilineal figure described upon the side opposite to the right angle, is equal to the similar, and similarly described figures upon the sides containing the right angle. XXXII. if two triangles, which have two sides of the one...
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