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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... "
The synoptical Euclid; being the first four books of Euclid's Elements of ... - Seite 52
von Euclides - 1853
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Guide to the Three Services: Civil, Naval, and Military

John Paxton Hall - 1860 - 186 Seiten
...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 and the part produced. PROP. XII. — In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 Seiten
...part of it produced, together with the square on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced. Given the straight line AB, bisected in C, and produced to the point D ; to prove that the rectangle...
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The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860 - 332 Seiten
...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 and the part produced. II. ALGEBRA. 1. Ifg = |y = $g> find the уа1ие зУ 4 2. Divide лг* - 4*з - 34^ + 76* - 105 by...
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Government examinations, a companion to 'Under government' and a key to the ...

Joseph Charles Parkinson - 1860 - 154 Seiten
...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 and the part produced. 8. PROP. XII. — In obtuse-angled triangles, if a perpendicular be drawn from either of the acute...
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A complete practical guide to her majesty's Civil service, by a certificated ...

Civil service - 366 Seiten
...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 and the part produced. PEOP. XII. — In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles...
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Examination papers used at the examination of candidates for appointment to ...

War office - 1861 - 260 Seiten
...of it produced, together •with the square on half the line bisected, is equal to the square on the straight line 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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Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ...

Euclides - 1861 - 464 Seiten
...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 Seiten
...the half and the part produced. (References— Prop. i. 5, 6, 11, 15, 29, 31, 32, 34, 46 Cor. 47.) Let the straight line AB be bisected in C, and produced to the point D. CONSTRUCTION From the point C draw CE at right angles to AB ; (i. 11) make it equal to AC or CB, (i....
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862 - 140 Seiten
...part of it produced, together with the square on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced. (References — Prop. I. 31, 34, 36, '43, 46; II. 4, cor.) Hypothesis. — Let the straight line AB...
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The elements of plane geometry; or, The first six books of Euclid, ed. by W ...

Euclides - 1863 - 122 Seiten
...the rectangle AD. DB. To each of these equals add LG, which is equal to the square of CB. Therefore the rectangle AD. DB, together with the square of CB, is equal to the gnomon CMG, and LG. But tho gnomon CMG and LG make up thesquare CF, which is the square of CD. Therefore...
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