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" If, from the ends of the side of a triangle, there be drawn two straight lines to a point within the triangle, these shall be less than, the other two sides of the triangle, but shall contain a greater angle. Let... "
The first book of Euclid's Elements, simplified, explained and illustrated ... - Page 49
by Euclides - 1847
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Skeleton propositions &c. of Euclid, books i and ii, with ..., Volume 1

Euclides - 1868 - 88 pages
...from the end of the side of a triangle there be drawn two si. lines to a point within the these lines shall be less than the other two sides of the triangle but shall contain a greater angle. CON. Pst. 2. DEM. P. 20. Ax. 4. P. 16. UsE. EXP. 1 Hyp. 2 Conol. 1. „ 2. CON. 1 Pst. 2. DEM 1 P....
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858 - 248 pages
...of the side of a triangle there be drawn two st. lines to a point within the triangle, these lines shall be less than the other two sides of the triangle, but shall contain a greater angle. CONSTRUCTION. — Pst. 2. A terminated st. line may be produced. DEMONSTRATION. — P. 20. Any two...
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 pages
...Extract the square root of '07 to six places of decimals. Euclid. 1 . If from the ends of the side of a triangle there be drawn two straight lines to a point within the triangle there shall be less than the other two sides of the triangle but shall contain a greater angle. 2....
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Guide to the Three Services: Civil, Naval, and Military

John Paxton Hall - 1860 - 186 pages
...postulate" and an " axiom." Write down Euclid's three postulates. PROP. XXI. — If from the ends of a side of a triangle there be drawn two straight lines to...of the triangle, but shall contain a greater angle. PROF. XXXII. — If a side of any triangle be produced, the exterior angle is equal to the two interior...
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The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860 - 332 pages
...are either two right angles, or are together equal to two right angles. 4. If from the ends of a side of a triangle, there be drawn two straight lines to...of the triangle, but shall contain a greater angle. . 5. The three angles of a triangle are together equal to two right angles ; and all the angles of...
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A complete practical guide to her majesty's Civil service, by a certificated ...

Civil service - 366 pages
...postulate " and an " axiom." Write down Euclid's three postulates. PROP. XXI. — If from the ends of aside of a triangle there be drawn two straight lines to...of the triangle, but shall contain a greater angle. PROP. XXXII. — If a side of any triangle be produced, the exterior angle is equal to the two interior...
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Government examinations, a companion to 'Under government' and a key to the ...

Joseph Charles Parkinson - 1860 - 154 pages
...and an " axiom." Write down Euclid's three postulates, 3. PROP. XXI. — If from the ends of a side of a triangle there be drawn two straight lines to...of the triangle, but shall contain a greater angle. 3. PROP. XXXII. — If a side of any triangle be produced, the exterior angle is equal to the two interior...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 380 pages
...sides, &c. QED PROPOSITION XXI. THEOREM. If from the ends of a side of a triangle, there be drawn tteo straight lines to a point within the triangle; these shall be less than the other two tides of the triangle, but shall contain a greater angle. Let ABCbe a triangle, and from the points...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 pages
...greater than CA, and BC and CA greater than AB. PBOPOSITION XXI. THEOREM. If from the ends of one side of a triangle, there be drawn two straight lines to a point within the triangle, these two lines shall be less than the other two sides of the triangle, but shall contain a greater angle....
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 714 pages
...from 3 : find the square root of 71 to three decimal places. EUCLID. 1. If from the ends of a side of a triangle, there be drawn two straight lines to...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 triangle and have...
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