| Albert Gallatin Mackey - 1912 - 508 páginas
...Master's Degree, is thus enunciated: "In any rightanclad triangle, the square which is de8c:ibcd upon the side subtending the right angle is equal to the squares described upon the sides which contain the right angle." Thus, in a triangle whose perpendicular is 3 feet, the... | |
| William Neville Rose - 1920 - 542 páginas
...text — Euc. I. 47. In any right-angled triangle, the square which is INTRODUCTORY 5 described on the side subtending the right angle is equal to the...described on the sides which contain the right angle. Euc. III. 35. If two straight lines cut one another within a circle, the rectangle contained by the... | |
| Newfoundland Council of Higher Education - 1922 - 204 páginas
...produced and BC = AB. 4. In any right-angled triangle, prove that the square which is described on the side subtending the right angle is equal to the...described on the sides which contain the right angle. ABCD is a quadrilateral with the directions of AB and CD at right angles. Prove that AC2+BD2 = BC2+AD2.... | |
| William Neville Rose - 1928 - 552 páginas
...is made in the text — Euc. I. 47. In any right-angled triangle, the square which is described on the side subtending the right angle is equal to the...described on the sides which contain the right angle. Euc. III. 35. If two straight lines cut one another within a circle, the rectangle contained by the... | |
| 1840 - 708 páginas
...of the first book of Euclid; that, "in any right angled triangle, the square which is described upon the side subtending the right angle is equal to the squares described upon the sides containing the right angle." Here the whole proof rests solely on a string of similitudes;... | |
| John Calhoun Stephens - 840 páginas
...question Bartlett's authorship. 1. "In any right-angled triangle, the square which is described on the side subtending the right angle is equal to the...described on the sides which contain the right angle." Though Pythagoras wrote no mathematical treatise, this proposition, commonly called the "Therorem of... | |
| Saskatchewan. Department of Education - 1910 - 260 páginas
...volume of this sphere. GEOMETRY. 1. (a) In any right angled triangle the square which is described on the side subtending the right angle is equal to the...described on the sides which contain the right angle. I. 47. (6) If ABC be a triangle whose angle A is a right angle, and BE and OF be drawn bisecting the... | |
| 1917 - 636 páginas
...viz. : — " In any right-angled triangle, the square which is described upon the side substending the right angle, is equal to the squares described on the sides which contain the right angle." The truths contained in this theorem, we would naturally suppose, were very unlikely to furnish apt... | |
| Richard Todd, Douglas C. Wilson - 1992 - 266 páginas
...open, and 'twas the 47 El. libri I [In any right-angled triangle, the square which is described on the side subtending the right angle is equal to the...described on the sides which contain the right angle]. By G — , sayd he (he would now and then sweare an emphaticall Oath by way of emphasis) this is impossible!... | |
| R. H. Warn, John G. Horner - 2002 - 292 páginas
...off equal arcs. (Ene. III. 28.) (m) In any right-angled triangle, the square which is described on the side subtending the right angle is equal to the...described on the sides which contain the right angle. (Euc. I. 47.) USEFUL GEOMETRICAL PROBLEMS. 85. To construct an equilateral triangle on a given base.... | |
| |