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 Βιβλία Βιβλία 11 - 20 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 [Euclid book 1-3] in general terms, with ..., Μέρος 3

Euclides - 1821
...which one is perpendicular to it, and the other not, the perpendicular is the least. PROP. 20, THEOR. Any two sides of a triangle are together greater than the third. Bisect the angle contained by the two sides* the bisecting line shall cut the third side into segments...

## Mechanics Magazine, Τόμος 6

1827
...right linr." Again, the first problem which he introduces has, for its object, to establish " that any two sides of a triangle are, together, greater than the third side." He might, \ve think, have taken this for ¡minted with as much safety as that, " when equals are added...

## The Geometrical Companion: In which the Elements of Abstract Geometry are ...

George Darley - 1828 - 169 σελίδες
...the side which the sparrow has to fly in proportion to that which it has to fly itself. ART. 43. " Any two sides of a triangle are together greater than the third sidr." As I have observed before, we often, without knowing an angle from a triangle, give an involuntary...

## Elements of the Geometry of Planes and Solids: With Four Plates

Ferdinand Rudolph Hassler - 1828 - 159 σελίδες
...neither equal nor less than AB, it must be greater than it; as was to be demonstrated. § 19. THEOREM. Two sides of a triangle are together greater than the third side. APPLIC. Let ABC, (fig. 26.) be a triangle, the two sides AC, and CB, taken together, are greater than...

## Elements of geometry: Being chiefly a selection from Playfair's geometry

John Playfair - 1829 - 186 σελίδες
...shown that AC is not equal to AB; therefore AC is greater than AB. Wherefore, the greater angle &c. QED PROPOSITION XX. THEOREM. Any two sides of a triangle...third side. Let ABC be a triangle; any two sides of it are together greater than the third side, namely, the sides BA, AC are greater than the side BC...

## Self-examinations in Euclid

John Martin Frederick Wright - 1829 - 188 σελίδες
...right angles; .-. angles A, ABC are together < than two right angles. PROP. XX. 56. To prove that ' any two sides of a triangle are together greater than the third side,' what is the general construction ? From the point where they meet, produce either of the two sides...

## Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - 1830 - 272 σελίδες
...not the case. Therefore AB cannot but be greater than A C. Therefore, &c. PROP. 1 0. (Eue. i. 20.) Any two sides of a triangle are together greater than the third side : and any side of a triangle is greater than the difference of the other two. Let А В С be a triangle...

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

Euclides - 1834
...is greater than AB. Wherefore, the greater angle, &c. QED PROPOSITION XX. See N. THEOR — Any Iwo sides of a triangle are together 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 ;...

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

Euclid, Robert Simson - 1835 - 513 σελίδες
...the greater angle," &c. QED PROP. XX. THEOR. Any two sides of a triangle are together greater see N. than the third side. Let ABC be a triangle ; any two sides of it together are greater than the third side, viz. the sides BA, AC greater than the side BC; and AB,...

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

Euclid, Robert Simson - 1835 - 513 σελίδες
...the greater angle," &c. QED PROP. XX. THEOR. Any two sides of a triangle are together greater see N. than the third side. Let ABC be a triangle; any two sides of it together are greater than the third side, viz. the sides BA, AC greater than the side BC ; and AB,...