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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... "
Euclid's Elements of geometry, books i. ii. iii. iv - Seite 58
von Euclides - 1862
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 578 Seiten
...whole line thus 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. 2. Draw a straight line from a given point, either without or in the circumference, which shall touch...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858 - 248 Seiten
...it produced, together with the square of half the line bisected, is equal to the square of the st. line which is made up of the half and the part produced. CONS.— 46. I., Pst. 1, and 31. I. DBM.— 43. I., Ax. 2, 36. I., Ax 1, Def. 30. I., Cor. 4. II. Let...
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 Seiten
...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 on...line bisected, is equal to the square on the straight Jine which is made up of the half and the part produced 4. Upon the same straight line, and upon the...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 380 Seiten
...be bisected, and produced to any point; the reetanglt contained by the whole line thus produced, and the part of it produced, together with the square...which is made up of the half and the part produced. Let the straight line AB be bisected in C, and produced tfl^the point D Then the rectangle AD, DB,...
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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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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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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 Seiten
...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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The Elements of Euclid with Many Additional Propositions and Explanatory Notes

Eucleides - 1860 - 396 Seiten
...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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