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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. "
Euclid's Elements: Or, Second Lessons in Geometry,in the Order of Simson's ... - Page 92
by Dennis M'Curdy - 1846 - 138 pages
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Examination Papers

University of Toronto - 1904 - 1344 pages
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Report of Her Majesty's Civil Service Commissioners: Together ..., Volumes 15-16

1870 - 964 pages
...square of the line which touches it. 5. Inscribe a circle in a given triangle. 6. In 8 right-angled triangle, if a perpendicular be drawn from the right...triangles on each side of it are similar to the whole triangle, and to one another. 7. Through any point within a circle draw (I) the greatest possible chord...
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Parliamentary Papers, Volume 40

Great Britain. Parliament. House of Commons - Great Britain - 1852 - 192 pages
...figure. SECTION IV. 1. In a circle the angle in a semicircle is a right angle. 2. In a right-angled triangle, if a perpendicular be drawn from the right...triangles on each side of it are similar to the whole triangle, and to each other. 289. C3 3. Show 3. Show that in a parallelogram the sum of the squares...
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Sessional Papers - Legislature of the Province of Ontario, Volume 2

Ontario. Legislative Assembly - Ontario - 1870 - 766 pages
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1860 - 342 pages
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Euclid in China: The Genesis of the First Chinese Translation of Euclid's ...

Peter M. Engelfriet - Mathematics - 1998 - 516 pages
...aft=Ji»«aft|fiI»Jift-fi»»*»ftliaftHJi IP mm % m $. m is n * § tg « If in a right-angled triangle a perpendicular be drawn from the right angle to the base, the triangles adjoining the perpendicular are similar both to the whole and to one another. (If [in] a right-angled...
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The Thirteen Books of Euclid's Elements

Euclid - 452 pages
...ADC. [vi. Def. i] Therefore etc. PORISM. From this it is clear that, if in a right-angled triangle a perpendicular be drawn from the right angle to the base, the straight line so drawn is a mean proportional between the segments of the base. QED Simson remarks...
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The Aberdeen University Calendar

University of Aberdeen - 1896 - 870 pages
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The Edinburgh University Calendar

University of Edinburgh - 1896 - 880 pages
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The Elements of Geometry: Or, The First Six Books, with the Eleventh and ...

Euclid - Euclid's Elements - 1859 - 254 pages
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