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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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Modern Methods in Elementary Geometry

E. M. Reynolds - 1868 - 112 σελίδες
...theorem are often employed. THEOREM XII. In any right-angled triangle, the square which is described on the side subtending the right angle is equal to the squares described on the sides which contain the right angle. 1) L Let ABC be a right-angled triangle, having the right...

Manual of Euclid: Books IV, V, VI, and Propositions 1-21 of Book XI

Euclid - 1868 - 141 σελίδες
...the similar and similarly described fyures upon the sides containing the right angle. Statement. — Let ABC be a right-angled triangle, having the right angle BAC. The rectilinear figure described upon BC is equal to the similar and similarly described figures upon BA...

A complete treatise on practical land-surveying

Anthony Nesbit - 1870
...the triangle ABC is equal to the triangle DEC (Euc. i. 37 ; Simp. ii. 2 ; Em. ii. 10). THEOREM VII. 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 and AC (Euc. L 47; Simp. ii. 8; Em....

The National Schoolmaster, Τόμοι 7-8

1877
...perimeter of the quadrilateral. 2. 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. Algebra. 1. Find the GCM of 9 ax* y* and 15 a2 xz ; also of 3 .v! - 20 x1 + 15 x + a, and x1 - 4* +...

Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - 1871 - 58 σελίδες
...square described on the ny^ fcthenuse is equivalent to the sum of the squares on the othet tws sides. 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 ihs square BCED, and on...

Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1872 - 349 σελίδες
...Book II., PROPOSITION XLVII. THEOREM. In any right.angled triangle the square which is de. scribed on the side subtending the right angle is equal to the squares described on the sides which contain the right angle. Let ABC be a right'angled A , having the rt. L BAG. Then...

The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - 1873
...right-angled triangle, the square on the side subtending the right angle if equal to the squares on the sides which contain the right angle. Let ABC be a right-angled triangle having ftie right angle BAC. On BC describe the square BDEC, and on BA, AC, the squares GB, HC ; through A...

The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874
...angles. PROPOSITION 47. — Theorem. In any right-angled triangle, the square which is described upon the side subtending the right angle, is equal to the...right-angled triangle, having the right angle BAC. Then the square described upon the side BC shall be equal to the squares described upon BA, AC. Construction....

Elements of Euclid [selections from book 1-6] adapted to modern methods in ...

Euclides - 1874
...side subtending the right angle is equal to the sum of (he squares described upon the sides containing the right angle. Let ABC be a right-angled triangle having the right angle BAC; the square described on BC is equal to the sum of tho squares described on BA and AC. On B(J describe the square BDEC, and...

Pure mathematics, Τόμος 1

Edward Atkins - 1874
...straight line. A ABD = A FBC. Hence ],arallelok'ram BL = square GB, and parallelogram CL = square HC. Let ABC be a right-angled triangle, having the right angle BAC; The square described upon the side BC shall be equal to the squares described upon BA, AC. CONSTRUCTION. — On BC describe the square...




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