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" 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. "
The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ... - Σελίδα 43
των Euclid, James Thomson - 1837 - 390 σελίδες
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846
...subtending the right angle is equal to the similar and similarly situated figures upon the sides containing the right angle. Let ABC be a right-angled triangle, having the right angle BAC, and upon AB, AC, BC let any similar and similarly situated figures be described : the figure upon BC...

Instructions for the use of the slide-rule, applied to computations relating ...

John EWART (Land Surveyor.) - 1847 - 83 σελίδες
...prop, of 1st book of Euclid, that, "in any right-angled triangle, the square which is desciibed upon the side subtending the right angle, is equal to the...described upon the sides which contain the right angle." By which theorem, the hypothenuse, or side subtending the right angle, is equal to the square root...

The First Book of Euclid's Elements, Simplified, Explained, and Illustrated ...

Euclides - 1847
...PROP. XLVII. THEOR. GEN. ENUN. — In any right.angled triangle, the square which is described upon the side subtending the right angle, is equal to the...described upon the sides which contain the right angle. PART. ENUN. — Let ABC be a rt. Zd A, having the rt. Z BAC; then the square described upon BC = the...

A Complete Treatise on Practical Land-surveying: In All Its Departments ...

Anthony Nesbit - 1847 - 426 σελίδες
...; the triangle ABC is equal to the triangle DBC. (Euc. I. 37. Simp. II. 2. Em. II. 10.) THEOREM VH. Let ABC be a right-angled triangle, having the right angle BAC; the square of the side BC is equal to the sum of the squares of the sides AB, A C. (Euc. I. 47. Simp. II. 8. Em....

The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848
...right angles. PROP. XLVII. THEOREM. In any right-angled triangle, the square which is described upon the side subtending the right angle, is equal to the...described upon the sides which contain the right angle. PROP. XLVIII. THEOREM. BOOK II. DEFINITIONS. I. EVERY right-angled parallelogram is called a rectangle,...

The English Journal of Education, Τόμος 2

1848
..." Tate's Geometry," &c. p. 33. 3. 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.— See " Bell's Euclid," prop. 47, book i. j or " Tate's Geometry," &c....

Solutions to the questions of the general examination at Easter, 1848 ...

J. Goodall, W. Hammond - 1848
...parallels are equal to one another. 3. 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. SECTION III. 1. If a straight line be divided into two equal parts, and...

Scholarship examinations of 1846/47 (-1853/54).

Bengal council of educ - 1848
...application of the test of geometrical equality. 23. In a right-angled triangle, the square described upon the side subtending the right angle is equal to the squares described upon the sides containing it. Why is the 'geometrical equality of the figures not determined in the demonstration...

The first three books of Euclid's Elements of geometry, with theorems and ...

Euclides, Thomas Tate - 1849 - 108 σελίδες
...right angles. PROP. XLVII. THEOR. In any right angled triangle, the square which is described upon the side subtending the right angle, is equal to 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 BC is equal to...

Elements of Geometry and Conic Sections

Elias Loomis - 1849 - 226 σελίδες
...square described on the hyfothenuse is equivalent to the sum of the squares on the other t>M, sides. i Let ABC be a right-angled triangle, having the right angle BAC; the square described upon the side BC is equivalent to the sum of the squares upon BA, AC. On BC describe the square BCED, and on...




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