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" If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square on the other part. Let the straight line AB be divided... "
Woolwich mathematical papers [aftwerw.] Mathematical papers for admission ... - Σελίδα 2
των Woolwich roy. military acad - 1884
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The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860 - 332 σελίδες
...parts, the squares on the whole line and one of the parts are equal to twice the rectangle contained by the whole and that part together with the square on the other part. 7. If ABC be a triangle, and AD, BE, be drawn perpendicular to BC, AC, and intersect in F, the rectangle...

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 380 σελίδες
...the squares on the whole line, and on one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square on the other part. Let the straight line ABbe divided into any two parts in the point C. Then the squares on AB, BC shall...

Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 σελίδες
...the squares on the whole line, and on one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square on the other part. Given the straight line AB, divided into any two parts in the point C ; to prove that the squares on...

Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 714 σελίδες
...parts, the squares on the whole line and on one of the parts are equal to twice the rectangle contained by the whole and that part together with the square on the other part. 4. When are circles said to touch one another ? One circle cannot touch another in more points than...

Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862 - 140 σελίδες
...the squares on the wlutle line) and on one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square on the other part. (References— Prop. I. 31, 34, 43, 46; II. 4, cor.) Hypothesis. — Lst the straight line AB be divided...

Responsions

University of Oxford - 1863 - 316 σελίδες
...the squares on the whole line, and on one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square on the other part. 9. If two triangles have two sides of the one equal to two sides of the other, each to each, and have...

The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 σελίδες
...the squares on the whole line, and on one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square on the other part. Let the straight line AB be divided into any two parts in the point C. Then the squares on AB, BC shall...

Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1866 - 336 σελίδες
...the squares on the whole line, and on one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square on the other part. Give Euclid's demonstration of this proposition ; also, prove it algebraically. 6. Describe a square...

The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 σελίδες
...4. 4. The squares on the whole line, and on one of the parts, are equal to twice the rectangle under the whole and that part, together with the square on the other part . . . . . n. 7. 5. Four times the rectangle under the whole line, and one of the parts, together with...

The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 426 σελίδες
...the squares on the whole line, and on one of the parts, are equal to twice the rectangle contained by the whole and that part, together with, the square on the other part. Let the straight line AB be divided into any two parts at the point C ': the squares on AB, BC shall...




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