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" If a straight line be bisected, and produced to any point ; the rectangle contained by the whole line thus produced, and the part of it produced... "
A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C ... - Page 89
by Euclides - 1874
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A complete practical guide to her majesty's Civil service, by a certificated ...

Civil service - 366 pages
...parallelogram. BOOE IL PROP. VI. — If a straight line be bisected and produced to any point, the rectangle contained by the whole line thus produced,...the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half...
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The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860 - 332 pages
...side opposite to the right angle. 7. If a straight line be bisected and produced to any point, the rectangle contained by the whole line thus produced...the part of it produced, together with the square of half the line bisected, shall be equal to the square of the straight line made up of the half and...
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Guide to the Three Services: Civil, Naval, and Military

John Paxton Hall - 1860 - 186 pages
...parallelogram. BOOK II. PROP. VI. — If a straight line be bisected and produced to any point, the rectangle contained by the whole line thus produced,...the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 pages
...in the point C ; to prove that four times the rectangle AB • BC, together with the square on AC, is equal to the square on the straight line, which is made up of AB and BC together. (Const.) Produce AB to D, so that BD be equal to CB, and upon AD describe the square...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 380 pages
...rectangle PF.PCmay be equal to the rectangle PD.PA. 164. To produce a given straight line, so that the rectangle contained by the whole line thus produced, and the part of it produced, shall be equal to a given square. 165. Two straight lines stand at rig^ht angles to each other, one...
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The Elements of Euclid with Many Additional Propositions and Explanatory Notes

Eucleides - 1860 - 396 pages
...produced part, together with the square on half the line bisected, is equal in area to the square ou the straight line which is made up of the half and . the produced port II. 10. . . II. 11, cor II. 4, cor. 2. II. 1. . . IL 1, cor. II. 5, schol. 2. . II. 5,...
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Examination papers used at the examination of candidates for appointment to ...

War office - 1861 - 260 pages
...WN GRIFFIN, MA Voluntary Portion. 2. If a straight line be bisected, and produced to any point, the rectangle contained by the whole line thus produced...which is made up of the half and the part produced. 3. In a circle the angle in a semicircle is a right angle, but the angle in a segment greater than...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 714 pages
...lines cannot have a common segment. 2. If a straight line be bisected and produced to any point, the rectangle contained by the whole line thus produced...and the part of it produced together with the square of half the line bisected, is equal to the square of the line which is made up of the half and part...
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Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ...

Euclides - 1861 - 464 pages
...of it produced, together with the square of half the line bisd., is equal to the square of the st. line which is made up of the half and the part produced. El- Hyp. 1 2 „ 2 Cone. Let D be any • without © ABC; and DCA, DB two st. lines from • D, of...
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 pages
...difference. PROP. VI.— THEOREM. If a straight line be bisected, and produced to any point ; then the rectangle contained by the whole line thus produced,...the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half...
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