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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. "
The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ... - Pagina 36
door Robert Simson - 1804
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 pagina’s
...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 pagina’s
...the last proposition. PROP. XLIV. — 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. 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 pagina’s
...the last proposition. PROP. XLIV. — 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. The quadrilateral figure whose diameters bisect each other is a parallelogram. BOOK II. PROP. VI. —...
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The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860 - 332 pagina’s
...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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Government examinations, a companion to 'Under government' and a key to the ...

Joseph Charles Parkinson - 1860 - 154 pagina’s
...last proposition. 5. PBOP. XLIV. — 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. 6. The quadrilateral figure whose diameters bisect each other is a parallelogram. BOOK II. 7. PEOP....
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 380 pagina’s
...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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Guide to the army - competitive examinations

Alexander Hadden Hutchinson - 1861 - 128 pagina’s
...it the angle contained by these two sides is a right angle. 2. Describe a parallelogram which shall be equal to a given triangle, and have one 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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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 714 pagina’s
...triangle, but shall contain a greater angle. 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 given rectilineal angle. 4. The opposite angles of any quadrilateral figure inscribed in a circle are together equal to two...
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862 - 140 pagina’s
...&c. QED PROPOSITION 44.— PROBLEM. 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. (References— Prop. I. 15, 29, 31, 42, 43; ax. 1, 9, 12.) Given. — Let AB be the given straight...
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 pagina’s
...equal to a given rectilineal angle. (References — Prop. i. 10, 23, 31, 38, 41; ax. 6; def. i. 34.) Let ABC be the given triangle, and D the given rectilineal angle. It is required to describe a parallelogram that shall be equal to the given triangle ABC, and have one of its angles...
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