 | Isaac Newton, Edmond Halley - Algebra - 1720 - 312 pages
...promoting Algebraick Calculus) to find the Segments of the Bafe ; here it would be of Ufe to know, that the Difference 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.... | |
 | Isaac Newton - Algebra - 1769 - 638 pages
...promoting algebraick Calculus) to find the Segments of the Bafe; here it would be of Ufe to know, that the Difference 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).... | |
 | Thomas Malton - 1774 - 484 pages
...Angle, added to the Squares of the alternate Segments of the Bafe, are equal; and the difference between the Squares of the Sides, is equal to the difference of the Squares of the Segr ments. In Ifofceles Triangles the thing is manifctt. In the Scalene Triangle ABC, draw the Perpendicular... | |
 | Charles Butler - Mathematics - 1814 - 528 pages
...between the hypothenuse AB and the segment of it, AD adjacent to AC, as is shewn in cor. 8. 6. 25O. If a perpendicular be drawn from the vertical angle of any triangle to the base, (produced if necessary), then will the rectangle contained by the sum and difference of the sides of... | |
 | Miles Bland - Euclid's Elements - 1819 - 442 pages
...are equal to 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 tlie squares of the segments of the base. . « From A the vertex of the triangle ABC, let AD be drawn... | |
 | Miles Bland - Geometry - 1821 - 898 pages
...are equal to 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 t/i" squares of the segments of the base. From A the vertçxof the triangle ABC, let AD be drawn perpendicular... | |
 | 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
...perpendicular of the 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 shall be equal to two given squares.... | |
 | Euclid, Dionysius Lardner - Euclid's Elements - 1828 - 542 pages
...and BA, or of the given lines. (207) Con. 3.— If a perpendicular (BD) be drawn from the vertex of a triangle to the base, the difference of the squares of the sides (AB and CB) is equal to the difference between the squares of the segments (AD and CD). For the square... | |
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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 tlie squares of the segments of the base. 
