 | Benjamin Martin - 1736 - 414 Seiten
...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... | |
 | Robert Simson - 1806 - 546 Seiten
...therefore AC is greater than AB. Wherefore, the greater angle, &c. QED PROP. XX. THEOR. See N. ANY two sides of a triangle are together greater than the third side. Let ABC be a triangle ; any two sides of it together are greater than the third side, viz. the sides... | |
 | Sir John Leslie - 1809 - 522 Seiten
...BC 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...is equal to BD, the angle BCD is equal to BDC (I. 8.); but the angle ACD is greater than BCD, and therefore greater than BDC or ADC ; consequently the... | |
 | Sir John Leslie - 1809 - 542 Seiten
...BC 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...is equal to BD, the angle BCD is equal to BDC (I. 8.); but the angle ACD is greater than BCD, and therefore greater than BDC or ADC ; consequently the... | |
 | Euclid - 1810 - 554 Seiten
...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... | |
 | Sir John Leslie - 1811 - 524 Seiten
...less than it, must therefore be greater than AB. PROP. XV. THEOR. Two sides of a triangle are-together greater than the third side. The two sides AB and...AC. For produce AB until DB be equal to the side BC, join CD. Because BC is equal to BD, the angle BCD is equal to BDC (I. 11.) ; but the angle ACD is greater... | |
 | Euclides - 1814 - 560 Seiten
...AB; therefore AC is greater than AB. Wherefore the greater angle, &c. QED PROP. XX. THEOR. SeeN. ANY two sides of a triangle are together greater than the third side. Let ABC be a triangle; any two sides of it together are greater than the third side, viz. the sides... | |
 | John Playfair - 1819 - 354 Seiten
...AB ; therefore AC is greater than AB. Wherefore the greater angle, &c. Q,. ED PROP. xx. THEOR. Jlny two sides of a triangle are together greater than the third side. Let ABC be a triangle ; any two sides of it together are greater than the third side, viz. the sides... | |
 | John Mason Good - 1819 - 800 Seiten
...than the other two sides of the triangle, but ih.il] contain a gre.iter angle. Prop. XX. Theor. Any two sides of a triangle are together greater than the third side. Prop. XXII. Prob. To make a triangle of which the sides shall be equal to three given straight lines,... | |
 | John Playfair - 1819 - 350 Seiten
...to AB ; therefore AC is greater than AB. Wherefore the greater angle, &c. Q, ED PROP. XX. THEOR. Any two sides of a triangle are together greater than the third side. Let ABC be a triangle ; any two sides of it together are greater than the third side, viz. the sides... | |
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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 AB until DB be equal to the side BC, and join CD. Because BC is equal to BD,... 
