 | Enaeas Sweetland Dallas - 1866 - 362 pages
...most part, depend, not on the knowledge, but on our conceit of it. If when a man comes to know that the square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the otber two sides, be should think CHAPTER that the intellectual discovery... | |
 | Robert Morris Copeland - Agriculture - 1866 - 944 pages
...That method of getting a right angle is embodied in the mathematical proposition that the square of the hypothenuse of a rightangled triangle is equal to the sum of the squares of the other two sides. To proceed with the work. After staking out all the beds, select... | |
 | Charles Davies - Mathematics - 1867 - 186 pages
...that property is considered as proved for every figure of the class. For example : when we prove that the square described on the hypothenuse of a right-angled triangle is equal to the sum of the squares described on the other two sides, we demonstrate the fact for all right-angled triangles.... | |
 | Andrew Ure - Industrial arts - 1867 - 1144 pages
...enthusiasm, without any compunction one hundred oxen in commemoration of his discovery, that a square on the hypothenuse of a rightangled triangle, is equal to the sum of the two squares on the base and the perpendicular. Indeed such a cruel result of a scientific discovery... | |
 | Charles Knight - Encyclopedias and dictionaries - 1867 - 530 pages
...the hypothesis of the problem or theorem in question. Thus, in the proof of the theorem, " the square on the hypothenuse of a right-angled triangle is equal to the sum of the squares on the aides," the formation of the right-angled triangle and of the squares is not technically... | |
 | Asa Mahan - Natural theology - 1867 - 412 pages
...a fallacy in that scientific process by which we are conducted to the conclusion that the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of its two sides, as to point out the want of connection between the theory of knowledge... | |
 | Samuel H. Winter - 1867 - 468 pages
...determining the sum of the interior angles of any rectangular figure. 15. The semicircle described upon the hypothenuse of a right-angled triangle is equal to the sum of the semicircles described upon the sides. 16. If AB, CD be the opposite sides of a quadrilateral figure... | |
 | Edward Brooks - Geometry - 1868 - 284 pages
...principles are thus stated in algebraic language. 2. (a — 3. (a 2 — a * —2ab (« + &) (a THEOREM VI. The square described on the hypothenuse of a right-angled triangle is equal to the sum of the squares described on the other two sides. Let ABC be a triangle, right-angled at B; then will For,... | |
 | Charles Davies, Adrien Marie Legendre - Geometry - 1869 - 470 pages
...(A. 2), hence, (AB + BC) (AB -BC) = AI? - BC* ; which was to be proved. CBK PROPOSITION XI. THEOREM. The square described on the hypothenuse of a right-angled triangle, is equal to the sum of the squares described on the other two sides. Let ABC be a triangle, right-angled at A : then will... | |
 | James Maurice Wilson - 1869 - 260 pages
...CTUA. It is obvious that a special case of this theorem is the theorem proved before, that the square on the hypothenuse of a right-angled triangle is equal to the sum of the squares on the sides. (2) If through any point O within or without a circle, chords are drawn,... | |
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The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides. 
