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" If from the ends of a 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. "
The synoptical Euclid; being the first four books of Euclid's Elements of ... - Σελίδα 22
των Euclides - 1853
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Government examinations, a companion to 'Under government' and a key to the ...

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

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

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

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

Royal college of surgeons of England - 1860 - 332 σελίδες
...same ; and hence shew that two straight lines cannot have a common segment. 4. If from the ends of a side of a triangle, there be drawn two straight lines...of the triangle, but shall contain a greater angle. 5. If two triangles have two angles of the one equal to two angles of the other, each to each, and...

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

Civil service - 366 σελίδες
...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...

Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 σελίδες
...are 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....

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

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

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

War office - 1861 - 714 σελίδες
...Find the interest on 1049Z. 16s. Gd. for 6 years 4 months at 4^ per cent., simple interest. Euclid. 1. If from the ends of the side of a triangle there be...of the triangle, but shall contain a greater angle. 2. In any right angled triangle, the square which is described on the side subtending the right angle...

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

Euclides - 1862 - 140 σελίδες
...greater than AB. Conclusion. — Therefore, any two sides, &.c. Q. JE. D. PROPOSITION 21.— THEOREM. If from the ends of the side of a triangle there be...of the triangle, but shall contain a greater angle. (References— Prop. I. 16, 20; ax. 4.) Hypothesis. — Let ABC be a triangle, and from ths points...

The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 σελίδες
...ends of a side of a triangle there be drawn tioo straight lines to a point within the triangle ; then these shall be less than the other two sides of the triangle, but shall contain a greater angle. (References — i. 16, 20; ax. 4.) Let the two straight lines BD, CD, be drawn from B, C, the ends...

Responsions

University of Oxford - 1863 - 316 σελίδες
...parallelogram equal to a given rectilineal figure, and having an angle equal to a given rectilineal angle. 3. If from the ends of the side of a triangle there be...than the other two sides of the triangle, but shall confine a greater angle. 4. Divide a given straight line into two parts so that the rectangle contained...




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