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" TO a given straight line to apply a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Page 42
by John Playfair - 1806 - 311 pages
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858 - 248 pages
...ABC will equal the parallelogram FECG, and have an angle equal to D. PROB. 12. To a given line, AB, to apply a parallelogram which shall be equal to a given triangle C, and have one of its angles equal to a given angle D. By 42. I. make a parallelogram BEFG equal to...
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 pages
...equal to the angle contained by the two sides equal to them of the other. 2. To a given straight line apply a parallelogram which shall be equal to a given triangle and have one of its angles equal to a right angle. What is such a parallelogram called \ 3. Prove one case only of the following proposition,...
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A complete practical guide to her majesty's Civil service, by a certificated ...

Civil service - 366 pages
...equal to two right angles. Enunciate and prove the corollaries of the last proposition. PROP. XLIV. — To a given straight line to apply a parallelogram,...of its angles equal to a given rectilineal angle. The quadrilateral figures whose diameters bisect each other is a parallelogram. BOOE IL PROP. VI. —...
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Guide to the Three Services: Civil, Naval, and Military

John Paxton Hall - 1860 - 186 pages
...equal to two right angles. Enunciate and prove the corollaries of the last proposition. PROP. XLIV. — To a given straight line to apply a parallelogram,...of its angles equal to a given rectilineal angle. The quadrilateral figure whose diameters bisect each other is a parallelogram. BOOK II. PROP. VI. —...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 pages
...remaining complement BK is equal to the remaining complement KD (Ax. 8). it ,\ PROPOSITION XUV. PROBLEM. To a given straight line to apply a parallelogram,...of its angles equal to a given rectilineal angle. Given the straight line AB, the triangle C, and the rectilineal angle D. It is required to apply to...
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Government examinations, a companion to 'Under government' and a key to the ...

Joseph Charles Parkinson - 1860 - 154 pages
...two right angles. 4. Enunciate and prove the corollaries of the last proposition. 5. PBOP. XLIV. — To a given straight line to apply a parallelogram,...of its angles equal to a given rectilineal angle. 6. The quadrilateral figure whose diameters bisect each other is a parallelogram. BOOK II. 7. PEOP....
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The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860 - 332 pages
...Prove also that the diameters of a parallelogram bisect each other. 7. Describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 8. If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 380 pages
...triangle. 105. To a given straight line apply a triangle which shall be equal to a given parallelogram and have one of its angles equal to a given rectilineal angle. 106. Transform a given rectilineal figure into a triangle whose Tertex shall be in a given angle of...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 714 pages
...the other two sides of the triangle, but shall contain a greater angle. 2. To a given straight line apply a parallelogram which shall be equal to a given...of its angles equal to a given rectilineal angle. 4. The opposite angles of any quadrilateral figure inscribed in a circle are together equal to two...
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Guide to the army - competitive examinations

Alexander Hadden Hutchinson - 1861 - 128 pages
...upon the other two sides of it the angle contained by these two sides is a right angle. 2. Describe a parallelogram which shall be equal to a given triangle,...of its angles equal to a given rectilineal angle. VOLÎTNTAEY Ровтгозг. 1. Describe a circle about a given triangle. 2. Solve the following equation...
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