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" If a straight line be divided into two equal, and also into two unequal parts ; the squares on the two unequal parts are together double of the square on half the line, and of the square on the line between the points of section. "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Σελίδα 55
των Euclid, John Playfair - 1826 - 320 σελίδες
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862
...BC added together In one straight line. Wherefore, if a straight line, &c. QED PROP. IX.— THEOREM. If a straight line be divided into two equal and also into two unequal parts; then the squares of the two unequal parts are together double of the square of half the line, and of...

Liber Cantabrigiensis: An Account of the Aids Afforded to Poor ..., Τόμος 2

Robert Potts - 1863
...diameter, find the greatest length inside his scull which a bullet might traverse without killing him. 11. If a straight line be divided into two equal and also...of the two unequal parts are together double of the squares of half the line and of the square of the line between the points of section. Shew that 3 times...

Responsions

University of Oxford - 1863
...Bisect a given rectilineal angle. 5. Shew that two straight lines cannot have a common segment. 6. If a straight line be divided into two equal, and also into two unequal parts, the squares on the two unequal parts are together double of the square on half the line and of the square on the...

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

Euclides - 1864
...added together in one straight line. Wherefore, if a straight line, &c, QED PROPOSITION IX. THEOREM. If a straight line be divided into two equal, and also into two unequal parts ; the squares on the two unequal parts are torJether double of the square on half the line, and of the square on...

Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864
...added together in one straight line. Wherefore, if a straight line, &c, QED PROPOSITION IX. THEOREM. If a straight line be divided into two equal, and also into two unequal parts ; the squares on the two unequal parts are together double of the square on half the line, and of the square on the...

Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1866
...angle. 4. Find a point in a straight line which shall be equally distant from two given points. 5. If a straight line be divided into two equal, and...unequal parts, the squares of the two unequal parts are equal to double the squares of the half, and of the line between the points of section. 6. If a straight...

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

Euclides - 1865
...added together in one straight line. Wherefore, if a straight line, &c. QED PROP. IX. — THEOREM. If a, straight line be divided into two equal and also into two unequal parts; then the squares of the two unequal parts are together double of the •quare of half the line, and...

Mathematical Questions and Solutions, from the "Educational Times.", Τόμος 3

1865
...geometrically, in the following form, which is analogous to that of Euclid II. 5. If a circular arc be divided into two equal and also into two unequal parts, the rectangle contained by the chords of the two unequal arcs, together with the square on the chord of...

Mathematical Questions and Solutions

1865
...geometrically, in the following form, which is analogous to that of Euclid II. 5. If a circular arc be divided into two equal and also into two unequal parts, the rectangle contained by the chords of the two unequal arcs, together with the square on the chord of...

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

Euclid, Isaac Todhunter - 1867 - 400 σελίδες
...the line made of AB and BC together. Wherefore, if a straight line &c. QED PROPOSITION 9. THEOREM. If a straight line be divided into two equal, and also into two unequal parts, the squares on the two unequal parts are t 'gather double of the square on half the line and of the square on the...




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