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 Βιβλία Βιβλία 21 - 30 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 ## Library of Useful Knowledge: Geometry, plane, solid, and spherical [by ...

1835
...is not the case. Therefore AB cannot but be greater than A C. Therefore, &c. PROP. 10. (Eue. L 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 Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 472 σελίδες
...angle of every triangle is subtended by the greater side, or has the greater side opposite to it. XX. Any two sides of a triangle are together greater than the third side. XXI. If from the ends of one side of a triangle, there be drawn two straight lines to a point within... ## A System of Popular Geometry: Containing in a Few Lessons So Much of the ...

George Darley - 1836 - 128 σελίδες
...than BAC, by preceding ART. ; which it is not. Hence BA must be greater than BC. This, &c. ART. 43. Any two sides of a triangle are together greater than the third tide. In the triangle ABC, any two of its sides, as AB, BC, are together greater than the third side... ## Elements of Geometry, Theoretical and Practical: Including Constructions of ...

Eugenius Nulty - 1836 - 220 σελίδες
...be less than С ; wherefore the side A С must be greater than the side A B. THEOREM IV. 35. Aпу two sides of a triangle are together greater than the third side. А с Any two sides AB, B С of the triangle ABС, are together greater than the third side A С. In... ## Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 240 σελίδες
...less than AB ; and it has been shown that it is not equal to AB ; therefore AC is greater than AB. PROPOSITION XX. THEOREM. Any two sides of a triangle...third side. Let ABC be a triangle ; any two sides of it together are greater than the third side; namely, the sides BA, AC, greater than the side BC ; and... ## A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - 1837
...Demonstration. 1. Prove that 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 >... ## Lessons on Form: Or, An Introduction to Geometry, as Given in a Pestalozzian ...

C. Reiner - 1837 - 215 σελίδες
...to the greater angle. 13. In every triangle the greater angle is subtended by the greater side. 14. Any two sides of a triangle are together greater than the third side. 15. The difference between any two sides of a triangle is less than the third side. 16. The three sides... ## The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid - 1837 - 390 σελίδες
...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.... ## 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... ## 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...