| John Alexander Stewart - 1892
...47, he has got certain тр/ушка, by means of which he can show that the square described upon **the side subtending the right angle is equal to the squares described** upon the sides which contain the right angle. The фрам/ю; likewise reaches a point at which he... | |
| Perry Fairfax Nursey - 1832
...famous proposition of Pythagoras, 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 which contain the right angle." A no less important proposition is, that " if the hypothenuse... | |
| John Humphrey Spanton - 1895 - 582 páginas
...Book, Prob. 47— In any right-nn;/led triangle, the square which is described on the side opposite **the right angle is equal to the squares described on the sides which contain the** Q right angle ; eg — The square described on AB is equal to the sum of the squares described on AC... | |
| Alfred John Pearce - 1897 - 182 páginas
...cone is a solid formed by the revolution of a right-angled triangle round one of the sides containing **the right angle. Let ABC be a right-angled triangle, having the right angle** at B, and let it revolve round AB. Then AC will trace out a conical surface. And BC will trace out... | |
| Seymour Eaton - 1899 - 340 páginas
...straight line AB. PBOPOSITION 47. THEOREM In any right-angled triangle the square which is described on **the side subtending the right angle is equal to the...right-angled triangle, having the right angle BAC;** then the square described on the side BC shall be equal to the squares described on the sides BA and... | |
| Macmillan & Co - 1901 - 776 páginas
...EUCLID'S ELEMENTS. PROPOSITION 47. THEOREM, 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. Let** ABO be a right-angled triangle, having the right angle BAG; the square described on the side BC shall... | |
| Albert Gallatin Mackey - 1912
...Master's Degree, is thus enunciated: "In any rightangled triangle, the square which is described 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... | |
| 1840
...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
...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... | |
| Richard Todd, Douglas C. Wilson - 1992 - 152 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!... | |
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