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 Llibres Llibres 51 - 60 de 172 sobre Triangles upon equal bases, and between the same parallels, are equal to one another.. Triangles upon equal bases, and between the same parallels, are equal to one another. A Treatise of Practical Surveying, ... - Pàgina 35
per Robert Gibson - 1808 - 440 pàgines
Visualització completa - Sobre aquest llibre A Manual of Surveying for India, Detailing the Mode of Operations on the ...

Sir Henry Edward Landor Thuillier - 1851 - 718 pàgines
...manner we may prove the parallelogram EFHG = BDEF. Therefore ABDC = BDEF = EFHG. QED Cor. Triangles on the same or equal bases and between the same parallels, are equal, seeing (by Cor. 2. Theo. 11.) they are the halves of their respective parallelograms. THEO. XIII. In...
Visualització completa - Sobre aquest llibre Papers for the schoolmaster, Volum 3

...vertices of all equal triangles ou the same base and on the same lide of it. 3. Parallelograms upon equal bases, and between the same parallels, are equal to one another. Trisect a parallelogram by lines drawn from a givtu point in one of its sides. SECTION IV. 1. Eqnal...
Visualització completa - Sobre aquest llibre THE PRINCIPLES OF THE SOLUTION OF SENATE-HOUSE 'RIDERS'

FRANCIS J. JAMESON - 1851
...CED, two angles are equal and AB = DC, therefore EB - ED. Therefore the triangles BCE, ECD, being upon equal bases and between the same parallels,* are equal to one another. Hence AECD - ABCE - ABEA = AAED. 1851. (A]. Triangles upon equal bases and between the same parallels...
Visualització completa - Sobre aquest llibre A collection of problems and examples, adapted to the "Elementary course of ...

Harvey Goodwin - 1851 - 173 pàgines
...MA, Trinity College. JOHN SYKES, MA, Pembroke College. TUESDAY. Dec. 31. 9. ..12. 1. TRIANGLES upon equal bases and between the same parallels are equal to one another. Let ABC, ABD be two equal triangles upon the same base AB and on opposite sides of it ; join CD meeting...
Visualització completa - Sobre aquest llibre The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852
...EBCF. Therefore parallelograms upon the same base, &c. QED PROP. XXXVI. THEOR. Parallelograms upon equal bases, and between the same parallels, are equal to one another. Let ABCD, EFGH be parallelograms upon equal bases EC, FG, and between the same parallels AH, EG; the...
Visualització completa - Sobre aquest llibre The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853
...to the triangle dbc. Wherefore triangles, &c. QED PROPOSITION XXXVIII. — THEOREM. Triangles upon equal bases, and between the same parallels, are equal to one another. LET the triangles a bc, def be upon equal bases bc, ef, and between the same parallels bf, ad. Tlle...
Visualització completa - Sobre aquest llibre The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853
...equal to the triangle DBC. Wherefore, triangles, &c. QED PROP. XXXVIII. — THEOREM. Triangles upon equal bases and between the same parallels, are equal to one another, Let the triangles ABC, DEF, be upon equal bases BC, EF, and between the same parallels BF, AD. The...
Visualització completa - Sobre aquest llibre The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

...Therefore parallelograms upon the same base, etc. QED PROPOSITION XXXVI. THEOR. Parallelograms upon equal bases, and between the same parallels, are equal to one another. Let ABCD, EFGH be parallelograms upon equal bases BC, FG, and between the same parallels AH, BG : the...
Visualització completa - Sobre aquest llibre Elements of geometry and mensuration

Thomas Lund - 1854 - 362 pàgines
...things must themselves be equal; .'. the triangle BCD = the triangle FGH ' that is, all triangles upon the same, or equal bases, and ' between the same parallels', are equal to one another. * ' Parallelogram ' being a long word, when it occurs frequently, it is allowable to abridge it thus,...
Visualització completa - Sobre aquest llibre The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...sides, he could reduce it, by degrees, to an equivalent triangle. PROP. XXXVIII. THEOREM. Triangles upon equal bases, and between the same parallels, are equal to one another. Let the triangles ABС, DEF, he upon equal bases B С, EF, and between the same parallels BF, 'A D....
Visualització completa - Sobre aquest llibre