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ANY two sides of a triangle are together greater than the third side.
Elements of Geometry: Containing the First Six Books of Euclid : with a ... - Pągina 33
per John Playfair - 1832 - 333 pągines
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## The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid - 1837 - 390 pągines
...is not equal toAB: therefore AC is greater than A B. Wherefore, if two angles, &c. PROP. XX. THEOR. ANY two sides of a triangle are together greater than the third side. 8 Let ABC be a triangle ; any two sides of it are together greater than the third side. Produce (I....
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## Lessons on form; or, Introduction to geometry as given in a Pestalozzian ...

Charles Reiner - 1837
...of the preceding truths will guide you ? P.—" The greater side subtends the greater angle;" or, " any two sides of a triangle are together greater than the third." M.—If you adopt the former of these truths, how must you draw a line so as to find a relation between...
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## Ward's miscellany (and family magazine).

1837
...without knowing it — both theoretical and practical. A mathematician sits down to demonstrate that the two sides of a triangle are together greater than the third side ; whereas, without any of the diagrams, anil ABC's, and f/uo(l trat demonstrandus of Euclid, a poi...
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## A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - 1837
...AC cannot be = AB, 2. that AC cannot be < AB, 3. that :. AC must be > AB. PROPOSITION XX. Theorem. Any two sides of a triangle are together greater than the third. BC Steps of the Demonstration. 1. Prove that Z ADC = Z ACD, 2. that Z BCD > Z ACD, 3. that .'. DB >...
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## The Elements of Euclid

Euclid - 1838 - 416 pągines
...equal to AB ; therefore AC is greater than AB. Wherefore the greater angle, &c. QED PROP. XX. THEOR. ANY two sides of a triangle are together greater than...side, viz. the sides BA, AC greater than the side BC ; and AB, BC greater than AC ; and BC, CA greater than AB. Produce BA to the point D, and D make (3....
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## Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838
...' Wherefore the greater angle, &c. Q. un PROP. XX. THEOR. Any two sides of a triangle are toget/ier greater than the third side. Let ABC be a triangle : any two sides of it together shall be greater than the third side, viz. the sides BA, AC greater than the side BC ; and AB, BC greater...
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## A complete treatise on Practical Land-Surveying, etc

Thomas Holliday - 1838 - 80 pągines
...perpendicular to the base. A scalene triangle has all its sides and angles unequal. See fig. 7. Note 1. Any two sides of a triangle are together greater than the third side. 2. The greatest side of every triangle is opposite the greatest angle; and the greatest angle is also...
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## The Phoenix; or, Lucubrations of the nights of st. John

1839
...day passed on tolerably smoothly with one exception, that when the doctor (arguing very soundly that any two sides of a triangle are together greater than the third side) was taking a shorter cut across a field, his career was stopped about midway by his horse inserting...
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## The figures of Euclid with the enunciations, as printed in Euclid's Elements ...

Euclides - 1840
...or subtending the greater angle is greater than the side opposite the less angle. PROP. XX. THEOR. Any two sides of a triangle are together greater than the third side. COR..—Hence the difference between any two sides of a triangle is less than the third side. • '•'.>...
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## The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841
...equal to AB; therefore AC is greater than AB. Wherefore the greater angle, &c. QED PROP. XX. THEOR. Any two sides of a triangle are together greater than...Let ABC be a triangle: any two sides of it together shall be greater than the third side, viz. the sides BA, AC greater than the side BC; and AB, BC greater...
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