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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 examination papers as set for the preliminary literary examination of ... - Σελίδα 6
των Royal college of surgeons of England - 1860
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838
...and reason as follows: " For, since BA and AC are together PROP. XXI. THEOR. 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 man the other two sides of the triangle, but shall contain a greater angle. Let ABC be a triangle,...

The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 351 σελίδες
...BC, CA greater than AB. Therefore any two sides, &c. UED PROP. XXI. THEOR. If from the ends of the side of a triangle, there be drawn two straight lines...be less than the other two sides of the triangle, out shall contain a greater angle. Let ABC be a triangle, and from the points B, C, the ends of the...

Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842
...вc, CA greater than AB. Therefore any two sides, &c. QED PROP. XXI. THEOR. IF from the ends of the side of a triangle there be drawn two straight lines...within the triangle, these shall be less than the two other sides of the triangle, but shall contain a greater angle. Let the two straight lines BD,...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - 317 σελίδες
...from B to C ; therefore BC is less than BA+AC or BA+AC>BC. PROP. XXI. THEOR. 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....

The British Annals of Education for ...: Being The Scholastic ..., Τόμοι 1-2

1844
...produced, the angles upon the other side of the base shall be equal. 3. If from the ends of the sides of a triangle there be drawn two straight lines to...of the triangle but shall contain a greater angle. 4. The straight lines which join the extremities of two equal and parallel straight lines are themselves...

Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845
...; also that BC, CA are greater than AB. Therefore any two sides, &c. QED PROPOSITION XXI. THEOREM. If from the ends of a side of a triangle, there be...of the triangle, but shall contain a greater angle. Let ABC be a triangle, and from the points B, C, the ends of the side BC, let the two straight lines...

Report of the Committee of Council on Education (England and Wales ..., Τόμος 2

Great Britain. Council on Education - 1845
...58."The greater side of every triangle is opposite to the greater angle. 59. If from the ends of the side of a triangle there be drawn two straight lines...of the triangle, but shall contain a greater angle. 60.*If the square described upon one of the sides of a trinngle be equal to the sum of the squares...

Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 199 σελίδες
...greater than AB. Therefore any two sides, &c. QED PROPOSITION XXI. THEOB. — If from the ends of the side of a triangle, there be drawn two straight lines...of the triangle, but shall contain a greater angle. Let the two straight lines BD. CD be drawn from B, C, the ends of the side BC of the triangle ABC,...

The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846
...are greater than AC, and AC, CB, greater than AB. Wherefore, Any two sides §c. QED PROP. XXI. THEOR. If from the ends of a side of a triangle there be...of the triangle, but shall contain a greater angle. Let the two straight lines BD, CD be drawn from B, C, the ends of the side BC of the triangle ABC,...

The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846
...Prop. a. AB + AC> BC. Wherefore any two sides, &c. PROP. XX. THEOR. 21. lEu. If from the ends of the side of a triangle, there be drawn two straight lines...of the triangle, but shall contain a greater angle. 1'rup. 5. Ax. 9. Prop. 18. Let ABC be a ^\; from B, C, the ends of the side BC, draw BD, CD, from the...




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