 | Walter Burton Ford, Charles Ammerman - 1923 - 414 páginas
...meet at the point D within the triangle, and if AB > AC, prove that DB > DC. 40. Prove that the sum of any two sides of a triangle are together greater than the third side. [HINT. Given the A ABC. To prove AB + AC > BC. Proof. Prolong BA to D making AD = AC. Join D... | |
 | Arthur Warry Siddons, Reginald Thomas Hughes - 1926 - 202 páginas
...angles of a triangle are unequal, the greater angle has the greater side opposite to it 36 ^THEOREM 18. Any two sides of a triangle are together greater than the third side 37 THEOREM 19. Of all the straight lines that can be drawn to a given straight line from a given... | |
 | Nicholas Murray Butler, Frank Pierrepont Graves, William McAndrew - 1893 - 554 páginas
...already proved. Euclid demonstrates things more axiomatic by far. He demonstrates what every dog knows, that any two sides of a triangle are together greater than the third. Yet after he has finished his demonstration, that straight lines making with a transversal equal alternate... | |
 | 1893 - 562 páginas
...already proved. Euclid demonstrates things more axiomatic by far. He demonstrates what every dog knows, that any two sides of a triangle are together greater than the third. Yet after he has finished his demonstration, that straight lines making with a transversal equal alternate... | |
 | John Neville Keynes - 1928 - 580 páginas
...ordinary formal logic, the two propositions, Every angle in a semi-circle is equal to a right angle, Any two sides of a triangle are together greater than the third side, may be considered to be identical in form. Each is universal, and each is affirmative ; they... | |
 | Roberto Bonola - 1955 - 452 páginas
...Euclid without it. Euclid demonstrated things more axiomatic hy far. He proves what every dog knows, that any two sides of a triangle are together greater than the third. Yet after he has finished his demonstration, that straight lines making with a transversal equal alternate... | |
 | Saskatchewan. Department of Education - 1910 - 260 páginas
...the middle point of one side of a triangle parallel to the base is equal to half of the base. 3. (a) Any two sides of a triangle are together greater than the third side. I. 20. 4. (a) If two triangles have two angles of the one respectivtely equal to two angles of... | |
 | University of Durham - 1879 - 158 páginas
...line equal to a given straight line. How many straight lines will the construction give ? 2. Prove that any two sides of a triangle are together greater than the third side. Prove by a geometrical construction that the difference between any two Bides of a triangle is... | |
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Any two sides of a triangle are together greater than the third side. 
