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" If from a point without a circle there be drawn two straight lines, one of which cuts the circle, and the other meets it, and if the rectangle contained by the whole line which cuts the circle, and the part of it without the circle, be equal to the square... "
Elements of Arithmetic, Algebra, and Geometry - Strona 164
autor: George Lees - 1826
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The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856 - Liczba stron: 168
...without a circle be drawn two straight lines whereof one cuts the circle and the other meets it, and the rectangle contained by the whole line which cuts the circle and the part without the circle be equal to the square of the other line, the latter line touches the circle. Let...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - Liczba stron: 578
...alone for 1 hour and then all three work together 1 Euclid. 1. Find the centre of a given circle. 2. If from a point without a circle there be drawn two...one of which cuts the circle and the other meets it, so that the rectangle contained by the whole line which cuts the circle, and the part of it without...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - Liczba stron: 380
...equal to the square on the straight line AD, which touches the circle. PROPOSITION XXXVII. THEOREM. If from a point without a circle there be drawn two...and the other meets it ; if the rectangle contained hy tin whole line which cuts the circle, and the part of it without the circle, be equal to the square...
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862 - Liczba stron: 140
...which touches the circle. PROPOSITION 37.— THEOREM. If from a point without a circle there be dfawn two straight lines, one of which cuts the circle, and the other meets it, and if the rectangle contained by the whole line which cuts the circle, and the part of it without...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - Liczba stron: 448
...equal to the square on the straight line AD, which touches the circle. PROPOSITION XXXVII. THEOREM. If from a point without a circle there be drawn two straight lines, one nf which cuts the circle, and the other mects it ; if the rectangle contained bg the whole line which...
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - Liczba stron: 262
...equal to the square on the straight line AD, which touches the circle. PROPOSITION XXXVII. THEOREM. If from a point without a circle there be drawn two straight tinea, one of which cuts the circle, and the other meets it ; if the rectangle contained by the whole...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - Liczba stron: 528
...equal to the square on the straight line AD, which touches the circle. PROPOSITION XXXVII. THEOREM. If from a point without a circle there be drawn two...the other meets it ; if the rectangle contained by tlie whole line which outs tfa circle, and the part of it without the circle, be equal to the square...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - Liczba stron: 402
...the circle, is equal to the square on the line which tonches it ........ m. 36. 5. And conversely, if from a point without a circle there be drawn two...the circle, and the other meets it; if the rectangle under the whole line which cuts the circle, and the part of it without the circle, be equal to the...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - Liczba stron: 424
...the square on the straight line AD, which touches the circle. PROPOSITION 87. THEOREM. If from any point without a circle there be drawn two straight...of which cuts the circle, and the other meets it, and if the rectangle contained by the whole line which cuts the circle, and the part of it without...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - Liczba stron: 426
...AD, which touches the circle. PROPOSITION 87. THEOREM. If from any point without a circle there lie drawn two straight lines, one of which cuts the circle, and the other meets it, and if the rectangle contained by the whole line which cuts the circle, and the part of it without...
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