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" Wherefore from the given circle ABC has been cut off the segment BAC, containing an angle equal to the given angle DQEP PROP. XXXV. THEOR. If two straight lines within a circle cut one another, the rectangle contained by the segments of one of them is... "
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... - Side 83
af Euclides - 1816 - 528 sider
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858 - 248 sider
...another within a circle ; as Prop. 35, bk. iii. , "if two straight lines cut one another within a circle, the rectangle contained by the segments of one of...rectangle contained by the segments of the other. " 4. By this proposition the method may be demonstrated of finding the value of an Adfected Quadratic...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 sider
...angle equal to the given angle D. PBOPOSITION XXXV. THEOREM. If two chords in a circle cut one another, the rectangle contained by the segments of one of...rectangle contained by the segments of the other. Given the two chords AC and BD, within the circle ABCD, cutting one another in the point E ; to prove...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 380 sider
...PROPOSITION XXXV. THEOREM. If two straight lines cut one another within a circle, the rectangle contained btf the segments of one of them, is equal to the rectangle contained by the si'gmrnh of the other. Let the two straight lines AC, BD, cut one another in the point E, within...
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Guide to the army - competitive examinations

Alexander Hadden Hutchinson - 1861 - 128 sider
...his army consist before the battle ? Euclid. 1. If two straight lines cut one another within a circle the rectangle contained by the segments of one of...rectangle contained by the segments of the other. 2. If a point be taken within a circle, from which there fall more than two equal straight lines to...
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Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ...

Euclides - 1861 - 464 sider
...BC. QE r. PBOP. 35. — THEOK. (Very Important.) If two st. lines eut one another within a circle, the rectangle contained by the segments of one of...rectangle contained by the segments of the other. Cox. 10, I. 12, I. 1, III. Pst. 1. DEM. Def. 15, I. 3, III. 47, I. Axs. 1, 2, 3, I. 36, 1. Parlms....
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 sider
...// two straight lines within a circle cut one another ; then the rectangle contained by the segment? of one of them is equal to the rectangle contained by the segments of the other. (References — Prop. i. 12, 47; n. 5; in. 1, 3.) Let the two straight lines AC, BD, within the circle...
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Liber Cantabrigiensis: An Account of the Aids Afforded to Poor ..., Bind 2

Robert Potts - 1863 - 482 sider
...with AB and AC, the locus of P is a circle. 7. If two straight lines within a circle cut one another, the rectangle contained by the segments of one of...rectangle contained by the segments of the other. With a point A in the circumference of a circle ABC as centre a circle PBC is described cutting the...
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Papers Read at the Royal Institute of British Architects

1863 - 300 sider
...EUCLID. — Book III. 1. Proposition 35. Theorem. If two straight lines cut one another within a circle, the rectangle contained by the segments of one of...rectangle contained by the segments of the other. 2. A projected railway having been surveyed through an estate I ask the engineer where the line will...
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - 262 sider
...Or, in other words : — If the diagonals of a quadrilateral figure intersect one another, so that the rectangle contained by the segments of one of...the rectangle contained by the segments of the other ; then a circle may be described about the quadrilateral. Prop. xxxvi. The converse of the corollary...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 sider
...PROPOSITION XXXV. THEOREM. If two straight lines cut one another within a circle, the rectangle contained bg the segments of one of them, is equal to the rectangle contained bg the segments of the other. Let the two straight lines AC, BD, cut one another in the point E, within...
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