 | Charles de Neuvéglise - 1700 - 1254 σελίδες
...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 - 1769 - 638 σελίδες
...Perpendicular being let fall upon the Bafe of an oblique-angled Triangle, thö Queftion were (for the fake of promoting algebraick Calculus) to find the Segments...of the Squares of the Sides is equal to the double Rettangle under the Bafe, and the Difame of the Perpendicular from the Middle ef the Softs (k). •... | |
 | John Playfair - 1806 - 320 σελίδες
...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 - 1819 - 444 σελίδες
...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... | |
 | Miles Bland - 1819 - 442 σελίδες
...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... | |
 | William Nicholson - 1821 - 356 σελίδες
...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.... | |
 | William Nicholson - 1821 - 356 σελίδες
...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.... | |
 | 1825 - 490 σελίδες
...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 - 1828 - 542 σελίδες
...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 - 1830 - 584 σελίδες
...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. 
