| George Augustus Sala, Edmund Hodgson Yates - Literary Criticism - 1861
...Elements " at the forty-seventh proposition of the first hook, and reading thus: " In any right-angled **triangle, the square which is described upon the side subtending the right angle is equal to the** sum of the squares described upon the sides which contain the right angle." But our imaginary friend... | |
| Euclid, Robert Simson - Euclid's Elements - 1806 - 518 pages
...Hence every parallelogram that has one right angle has all its angles right angles. PROP. XLVn. TIIEOR. **IN any right angled triangle, the square which is...described upon the sides which contain the right angle.** Let ABC be a right angled triangle, having the right angle BAC ; the square described upon the side... | |
| Thomas Smith Webb - Freemasonry - 1808 - 336 pages
...who, in his travels through Asia, Africa, and Europe, was initiated * THEOREM.]—In any right-angled **triangle, the square •which is described upon the side subtending the right** ang is equal to the squares described ujion. the sides which i tain the rightlmgle. lib. \.prop. -17,... | |
| Euclid, Robert Simson - Geometry - 1810 - 518 pages
...right angled triangle, the square which is ;d upon the side subtending the right angle, which contain **the right angle. is equal to the squares described upon the sides** Let ABC be a right angled triangle, having the right angl< BAG; the square described upon the side... | |
| John Mason Good, Olinthus Gilbert Gregory - 1813
...rectilineal angle. Prop.XLVI. Prob. To describe a square upon a given straight line. Pi-op. XLVII. Theor. **In any right angled triangle, the square which is...described upon the sides which contain the right angle.** Prop. XLV1II. Theor. If the square described upon one of the sides of a triangle, be equal to the squares... | |
| Euclides - 1814
...parallelogram that has one right angle has all its ungles right angles. PROP. XLV11. THEOR. IN any right-angled **triangle, the square which is described upon the side...angle, is equal to the squares described upon the sides** . winch contain the right angle. Let ABC be a right-angled triangle having the right angle BAC; the... | |
| James Hardie - Freemasonry - 1818 - 360 pages
...Psalm xxxvii. 37. 152 NEW FREE-MASON'S MONITOR. The Forly-Stventh Problem of Euclid. The theorem is, **that " in any right angled triangle, the square, which...described upon the sides, which contain the right angle** " This was a discovery made by our illustrious friend and brother, the great PYTHAGORAS, who, as it... | |
| Thomas Smith Webb - Freemasonry - 1818
...him; the next day comes a froft, which * THEOREM.] In any right-angled triangle, the square which ii **described upon the side subtending the right angle,...described upon- the sides which contain the right angle.** Euclid, lib. i. prop. 47. > -- V. ' nips the fhoot, and when he thinks his greatnefs is ftill afpiring,... | |
| Thomas Smith Webb - Freemasonry - 1818 - 308 pages
...him ; the next day comes a frost, which * THEOREM.] In any right-angled triangle, the square which i< **described upon the side subtending the right angle, is equal to the** iquarei described upon the sides which contain the right angle. Euclid, lib. i. prop. 47. FREEMASON'S... | |
| Freemasons. Grand Lodge of Kentucky, James Moore, Cary L. Clark - Freemasonry - 1818 - 218 pages
...forth the tender leaves * [THEOREM.] In any right-angled trianplp, the square which is described ijjon **the side subtending the right angle, is equal to the squares described** i pon the sides which contain the right angle. KrcT.ni, LIB. i. PBOP. 47. O • 100 ILLUSTRATIONS OP... | |
| |