 | Charles de Neuvéglise - Mathematics - 1700 - 1254 pages
...Perpendicular being Jet fall upon the Bafe of an oblique-angled Triangle, the Queftion were (for the falce of promoting algebraick Calculus) to find the Segments...would be of Ufe to know, that the Difference of the Squarei of the Sides is equal to the double Reflangle under the Bafe, and the Dißance of the Perpendicular... | |
 | Isaac Newton, Edmond Halley - Algebra - 1720 - 312 pages
...Perpendicular being let fall upon the Bafe of an oblique angled Triangle, the Queflion were (for the f»ke of promoting Algebraick Calculus) to find the Segments...of the Squares of the Sides is equal to the double Rc£hngle under the Bafe, and the Diftance of the Perpendicular from the Middle of the Bails. If the... | |
 | John Playfair - Mathematics - 1806 - 320 pages
...other. PROP. C. THEOR. IF a perpendicular be drawn from any angle of a triangle to the opposite side, the difference of the squares of the sides is equal to the difference of the squares of the segments of the base. Book IT. Let ABC be a. triangle, having the... | |
 | Miles Bland - Euclid's Elements - 1819 - 442 pages
...hypothenuse. 29. In any triangle, if a line be drawn from the vertex at right angles to the base ; the difference of the squares of the sides is equal to the difference of the squares of the segments of the base. 30. In any triangle, if a line be drawn from... | |
 | Miles Bland - Euclid's Elements - 1819 - 444 pages
...the square AC. (29.) In any triangle if a line be drawn from the vertex at right angles to the base, the difference of the squares of the sides is equal to the difference of the squares of the segments of the base. S From A the vertex of the triangle ABC, let... | |
 | William Nicholson - Natural history - 1821 - 356 pages
...same parallels, are equal. Tf a perpendicular be let fall upon the base of an oblique angled triangle* the difference of the squares of the sides is equal to the doublerectangle under the base, and the distance of the perpendicular from the middle of the base.... | |
 | William Nicholson - Natural history - 1821 - 356 pages
...the name of are equal. If a perpendicular be let fall upon the base of an oblique angled triangle, the difference of the squares of the sides is equal to the doublerectangle under the base, and the distance of the perpendicular from the middle of the base.... | |
 | Industrial arts - 1825 - 490 pages
...triangle. 13. Theorem. In any triangle, if a perpendicular be let fall from the vertex to the base, the difference of the squares of the sides is equal to the difference of the squares of the two segments of the base. 14. Problem. To construct a square that... | |
 | Euclid, Dionysius Lardner - Euclid's Elements - 1828 - 542 pages
...the squares of the sides be given, the problem to determine the triangle is indeterminate, because the difference of the squares of the sides is equal to the difference of the squares of the segments of the base, and may, therefore, be inferred from the base... | |
 | Pierce Morton - Geometry - 1830 - 584 pages
...in every triangle, if a perpendicular be drawn from the vertex to the base, or to the base produced, the difference of the squares of the sides is equal to the difference of the squares of the segments of the base, or of the base produced, may be stated thus... | |
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In any triangle, if a line be drawn from the vertex at right angles to the base; the difference of the squares of the sides is equal to the difference of the squares of the segments of the base. 
