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 Βιβλία Βιβλία 51 - 60 από 192 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
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο ## Practical Geodesy: Comprising Chain Surveying, and the Use of Surveying ...

Sir J. Butler Williams - 1846 - 330 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... ## Minutes of the Committee of Council on Education: with appendices ..., Τόμος 1

...equal to two right angles, these two straight lines shall be in one and the same straight line. 2. Any two sides of a triangle are together greater than the third side. Section II. 1. To divide a straight line into two such parts that the rectangle of the whole and one... ## The first book of Euclid's Elements, simplified, explained and illustrated ...

Euclides - 1847
...is > AC — BC, and AC > BC — AB. Wherefore any side Sec.— QED PROP. XX. THEOR. GEN. ENUN. — Any two sides of a triangle are together greater than the third side. PART. ENUN. — Let ABC be any A. Then the sum of any two of its sides is > the third side, viz., BA... ## The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848
...angle of every triangle is subtended by the greater side, or has the greater side opposite to it. PROP. XX. THEOREM. Any two sides of a triangle are together greater than the third side. PROP. XXI. THEOREM. If from the ends of a side of a triangle, there be drawn two straight lines to... ## General Report on Public Instruction, in the Lower Provinces of the Bengal ...

Bengal (India) - 1848
...+P xa~l+P xn-z+ ........ +J» = 0 J * n and in the quadratic equation »* — px + </=0 Geometry. 6. Any two sides of a triangle are together greater than the third side. 7. In a circle, the angle in a semicircle is a right angle, but the angle in a segment greater than... ## The first three books of Euclid's Elements of geometry, with theorems and ...

Euclides - 1849
...is not equal to AB; therefore AC is greater than AB. Wherefore the angle, &c. QED PROP. XX. THEOR. Any two sides of a triangle are together greater than...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,... ## Elements of Geometry and Conic Sections

Elias Loomis - 1849 - 226 σελίδες
...DF, each to each, and the angle A to the angle D. Therefore, if two triangles, &c. PROPOSITION VIII. THEOREM. Any two sides of a triangle are together greater than the third side. For the straight line AB is the shortest path between the points A and B (Def. 3); hence AB is less... ## Notes and Queries

1884
...appellation to Euclid, i. 5, is a modern error, and that the original asses' bridge was the proposition, " Any two sides of a triangle are together greater than the third side," the demonstration being that an ass at A will walk along the third side AB to his provender at в,... ## Notes and Queries

1884
...appellation to Euclid, i. 6, is a modern error, and that the original asses' bridge was the proposition, " Any two sides of a triangle are together greater than the third side," the demonstration being that an ass at A will walk along the third side AB to his provender at в,... ## Reports on Elementary schools

...sides of a triangle be unequal, the greater side has the greater angle opposite. 8. Prove Euc. 1. '.iO. Any two sides of a triangle are together greater than the third tide. 9. Prove Kuc. I. 48. If the square described upon one side of a triangle be equal to the squares...