Books Books
Any two sides of a triangle are together greater than the third side.
The Elements of Euclid; viz. the first six books, together with the eleventh ... - Page 16
by Euclides - 1814

## Harrison's monthly collection [Formerly The monthly collection of tales. Ed ...

708 pages
...height of the fixed stars ? Is this what you really mean to assert to be as demonstrably true as that any two sides of a triangle are together greater than the third side ? Every mathematician would answer — it is : nay, more, that this very curve would carry a body from...

## The Phoenix; Or, Lucubrations of the Nights of St. John

1839 - 92 pages
...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...

## The figures of Euclid with the enunciations, as printed in Euclid's Elements ...

Euclides - 1840 - 82 pages
...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. • '•'.>...

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

Euclides - Geometry - 1841 - 378 pages
...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...

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

Euclides - 1842 - 320 pages
...equal to AB ; therefore AC is greater than лB. Wherefore the greater angle, &c. QED PROP. XX. THEOR. Let ABC be a triangle; any two sides of it together,...side, viz. the sides BA, AC greater than the side вc ; and AB, вc greater than AC ; and вc, c A greater than AB. Produce BA indefinitely, and make(3....

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

John Playfair - Euclid's Elements - 1842 - 332 pages
...has been shewn that *-' it is not equal to AB ; therefore AC is greater than AB. PROP. XX. THEOR. • Any two sides of a triangle are together greater than...Let ABC be a triangle ; any two sides of it together arc greater than the third side, viz. the sides BA, AC greater than the side BC ; and AB, . BC greater...

## Chambers's information for the people, ed. by W. and R. Chambers, Volume 2

Chambers W. and R., ltd - 1842 - 744 pages
...A proposition is first stated in general terms : take, for instance, the 20th proposition — '• Any two sides of a triangle are together greater than the third side." This is but bare assertion : to advance a step farther, Euclid places the figure referred to, namely,...

## Chambers's Information for the People, Volume 2

William Chambers, Robert Chambers - Encyclopedias and dictionaries - 1842 - 938 pages
...to, namely, a triangle, before the student, and tells him that, in the annexed triangle, namely, ABC, any two sides of it together are greater than the third side ; that is to say, the sides ВЛ, AC, are together greater than the one side BC ; the sides AB,BC,aregreaterthanAC;and...