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 Βιβλία Βιβλία 71 - 80 από 189 για Any two sides of a triangle are together greater than the third side..
Any two sides of a triangle are together greater than the third side.
Geometry Without Axioms; Or the First Book of Euclid's Elements. With ... - Σελίδα 72
των Thomas Perronet Thompson - 1833 - 150 σελίδες
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## The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...straight lines can be drawn to the given straight line, one upon , each side of the shortest line. : PROP. XX. THEOREM. Any two sides of a triangle are together...than the third side. Let ABC be a triangle : any two of its sides are together greater than the third side ; viz., the sides BA, AC, are greater than the...

## The elements of plane and spherical trigonometry

John Hind - 1855
...excluded. The circumstances here pointed out, are nothing more than what have all along been assumed, that any two sides of a triangle are together greater than the third : but it thus appears that the Algebraical Formulae are sufficient of themselves to determine the consistency...

## Practical geodesy: comprising chain surveying and the use of surveying ...

J. Butler Williams (Sir.) - 1855 - 272 σελίδες
...the true length : this follows from Euclid's 20th proposition of the first book, which proves that any two sides of a triangle are together greater than the third. Also, the frequent repetition of errors in the coincidence of the extremities of the chain with the...

## Essays on the Intellectual Powers of Man

Thomas Reid, Sir William Hamilton - 1855 - 492 σελίδες
...this proposition, — Any two sides of a triangle are together equal to the third, — as of this, — Any two sides of a triangle are together greater than the third; yet the first of these is impossible. Perhaps it will be said, that, though you understand the meaning...

## The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856
...opposite the greater of the two AB, AC, or, in other words, AC is greater than A B. XXI.— EUCLID I. 20. Any two sides of a triangle are together greater than the third side. Let ABC be a triangle (Fig. 14), take any side BA and produce it at one extremity to D,- making AD equal to AC the adjacent...

## The British and Foreign Evangelical Review and Quarterly Record of Christian ...

...of its conclusions. They who can deny them, * Jxdtptndent for June 28, 1855. may as well deny that any two sides of a triangle are together greater than the third side, or the truth of any other demonstrable proposition.* What was the peculiar characteristic nature of...

## Cambridge examination papers: a suppl. to the University calendar, 1856-59

...angles at the base, prove that the locus of the vertex is a hyperbola, and find its asymptotes. 1. ANY two sides of a triangle are together greater than the third side. If a polygon with only salient angles be situated inside another polygon, the perimeter of the former...

## The Popular Educator, Τόμος 1

1856
...restriction is plain, when we consider that he had previously proved in his Prop. XX., Book I. that any two sides of a triangle are together greater than the third. This, however, is manifest without demonstration, if we adopt Archimedes's definición of a straight...

## general Report on Public Instruction in the lower Provinces of the Bengal ...

JOHN GRAY - 1857
...each ? 5. If a : b : : c : d show that a + b : J : : c + d : d and that am : b" : : C" : d" EUCLID. 1. Any two sides of a triangle are together greater than the third side. the squares of the sides containing it by twice the rectangle contained by the side upon which, when...

## Middle-class education. 2

Middle-class education - 1857
...line. What figure would be formed by placing two equilateral triangles base to base ? 81. Prove that any two sides of a triangle are together greater than the third side. Is the same proposition true of the angles of a triangle ? Give reasons for your answer. 32. Prove...