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" 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. "
The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... - Side 191
av Robert Simson - 1806 - 518 sider
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 333 sider
...was to be done. PROP. XXXI. THEOR. 5 . In right angled triangles, the rectilineal figure described upon the side opposite to the right angle, is equal...containing the right angle. Let ABC be a right angled tritnglc, having the right angle BAC : The rectilineal figure described i;pon BC is equal to the similar,...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 317 sider
...the side subtending the right angle, is equal to the squares described upon 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 to the squares described upon BA, AC. On BC describe (46....
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 372 sider
...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...be a right angled triangle, having the right angle ВАС: The rectilineal figure described upon BC is equal to the similar, and similarly described figures...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1826 - 320 sider
...Whieh was to be. done. ^ PROP. XXXI. THEOR. In right angled triangles, the reetilineal figure deSeribed upon the side opposite to the right angle, is equal to the similar, and similarly deseribed figures upon the sides eontaining the right angle. Let ABC be a right angled triangle, having...
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Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826
...angled triangle a perpendicular be drawn the perpendicular are similar to the whole and to one another. Let ABC be a right angled triangle, having the right angle BAC, and from A draw AD perpendicular to вс; then each of them ABD, ADC, is similar to the whole and to...
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Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 180 sider
...to the base, the triangles made by 'the perpendicular are similar to the whole and to one another. Let ABC be a right angled triangle, having the right angle BAC, and from A draw AD perpendicular to вс; then each of them ABD, ADC, is similar to the whole and to...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 513 sider
...done. * 3 Def. fiPROP. XXXI. THEOR. In right angled triangles, the rectilineal Jigure described See N. upon the side opposite to the right angle, is equal to the similar and similarly described Jigurcs upon the sides containing the right angle. Let ABC be a right angled triangle, having the right...
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Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry

John Playfair - 1829 - 186 sider
...hypothenuse, the two triangles on each side of it are similar to the whole triangle and to each other. Let ABC be a right angled triangle, having the right angle BAC, and from the point A let AD be drawn perp. to the hypothenuse BC; the triangles ABD, ADC are similar...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1832 - 333 sider
...was to be done. PROP. XXXI. THEOR. Inright angled triangles, the rectilineal figure described vpon the side opposite to the right angle, is equal to...the right angle. Let ABC be a right angled triangle, haying the right angle BAG: The rectilineal figure described upon BC is equal to the similar, and similarly...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1833 - 333 sider
...the side subtending the right awgZe, is equal to the squares described up. on the sides which contain the right angle. Let ABC be a right angled triangle having the right angle BAC 5 the square described upon the side BC is equal to the squares described upon BA, AC. On BC describe...
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