 | Benjamin Martin - 1736 - 414 σελίδες
...the Angles at the Bile are equal ; &?, è contra. -.. .THEOREM VHI. •. • • . • • • Any two Sides of a Triangle, are together greater than the Third Side. N. Б. Thefe Fhre Theorems laft mentioned, are demonftrated after the fame Manner as in Plain Triangles... | |
 | Euclid, John Playfair - 1795 - 462 σελίδες
...the point of contad. Let the two circles ABC, ADE, touch each other internally in the point A, and let F be the centre of the circle ABC, and G the centre of the circle A For, if not, let it fall otherwife, if poffible, as FGDH, and join AF, AG: and becaufe... | |
 | Alexander Ingram - 1799 - 374 σελίδες
...two circles ABC, ADE, of which ABC is the greater, touch each other internally in the point A, and let F be the centre of the circle ABC, and G the centre of the circle ADE: The ftraight line which joins the centres F, G, being produced beyond G, p?.fles through... | |
 | John Playfair, Euclid - 1804 - 468 σελίδες
...the point of contact. Let the two circles ABC, ADE, touch each other internally in the point A, and let F be the centre of the circle ABC, and G the centre of the circle ADE i the ftraight line which joins the centres F, G, being produced; paffes_ through the... | |
 | Robert Simson - 1806 - 546 σελίδες
...the point of contact. Let the two circles ABC, ADE touch each other internally in the point A, and let F be the centre of the circle ABC, and G the centre of the circle ADE: the A straight line which joins the centres F, G, being produced, passes through the... | |
 | Sir John Leslie - 1809 - 542 σελίδες
...being thus neither equal to AB, nor less than it, must therefore be greater than AB. PROP. XVI. THEOR. Two sides of a triangle are together greater than the third side. The two sides AB and BC of the triangle ABC are together greater than the third side AC. For produce... | |
 | Sir John Leslie - 1809 - 522 σελίδες
...being thus neither equal to AB, nor less than it, must therefore be greatc r than AB. PROP. XVI. THEOR. Two sides of a triangle are together greater than the third side. The two sides AB and BC of the triangle ABC are together greater than the third side AC. For produce... | |
 | Euclid - 1810 - 554 σελίδες
...therefore AC is greater than AB. Wherefore the greater angle, &c. QED PROP. XX. THEOR. See Note. ANY two sides of a triangle are together greater than the third side. c 19.1. Let ABC be a triangle; any two sides of it together arc greater than the third side, viz. the... | |
 | Euclides - 1814 - 560 σελίδες
...if two circles, &c. QED Let the two circles ABC, ADE touch each other internally in the point A, and let F be the centre of the circle ABC, and G the centre of the circle ADE : The straight line which joins the centres F, G, being produced, passes through the... | |
 | Sir John Leslie - 1817 - 450 σελίδες
...being thus neither equal to AB, nor less than it, must therefore be greater than AB. PROP. XIV. THEOR. Two sides of a triangle are together greater than the third side. The two sides AB and BC of the triangle ABC are together greater than the third side AC. For produce... | |
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A CONSTRUCTION For, if not let it fall otherwise, if possible, as FGDB; let F be the centre of the circle ABC, and G the centre of ADE. Join AF and AG. DEMONSTRATION Because two sides of a triangle are together greater than the third side therefore AG,... 
