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" To describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. "
The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... - Σελίδα 37
των Robert Simson - 1762 - 466 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

A complete practical guide to her majesty's Civil service, by a certificated ...

Civil service - 366 σελίδες
...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. —...

The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860 - 332 σελίδες
...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...

Government examinations, a companion to 'Under government' and a key to the ...

Joseph Charles Parkinson - 1860 - 154 σελίδες
...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....

Guide to the Three Services: Civil, Naval, and Military

John Paxton Hall - 1860 - 186 σελίδες
...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. —...

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 380 σελίδες
...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...

Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 714 σελίδες
...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...

Guide to the army - competitive examinations

Alexander Hadden Hutchinson - 1861 - 128 σελίδες
...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...

Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862 - 140 σελίδες
...&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...

Responsions

University of Oxford - 1863 - 316 σελίδες
...base and between the same parallels are equal to each other. 6. Describe a parallelogram which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 7. If a straight line be divided into any two parts, the square of the whole line is equal to the squares...

Euclid's plane geometry, practically applied; book i, with explanatory notes ...

Euclides - 1863 - 74 σελίδες
...EK, equal to a given line. PKOP. 44.— PROS. To a given line to apply a parallelogram which shall be equal to a given triangle, and have one of its angles equal to a given angle. SOL.— P 42, P. 31, Pit. 1, Put. 2.— Dot.— P. 29, Ax. 9, Ax. 12, P. 43, Ax. 1, P. 15. E....




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