Libros Libros TRIANGLES upon the same base, and between the same parallels, are equal to one another. Inventional Geometry: A Series of Problems, Intended to Familiarize the ... - Página 43
por William George Spencer - 1877 - 97 páginas
Vista completa - Acerca de este libro ## Loftus's Inland Revenue Officers' Manual: a guide to the duties and ...

William Harris JOHNSTON - 1865
...respects oblique parallelograms abo. By Euclid, Book I, Prop. 35, it is established that «parallelograms upon the same base and between the same parallels are equal to one another." Now, the perpendicular distance, D С, between the sides, DF and В С, of the oblique parallelogram...
Vista completa - Acerca de este libro ## Papers Read at the Royal Institute of British Architects

1865
...Given the vertical angle, and a side to construct the triangle. 3. Prop. 35. Theorem. Parallelograms upon the same base and between the same parallels are equal to one another. Shew this is equally true of triangles. 4. Prop. 44. — Problem. To a given straight line to apply...
Vista completa - Acerca de este libro ## The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865
...BC divides the parallelogram ACI>B into two equal parts. QED PROP. XXXV.— THEOREM. Parallelograms upon the same base, and between the same parallels, are equal to each other. (References— Prop. I 4, 29, 34 ; ax. 1, 3, 6.) Let the parallelograms ABCD, EBCF, be...
Vista completa - Acerca de este libro ## The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 páginas
...two equal parts. Wherefore, the opposite sides &c. QED PROPOSITION 35. THEOREM. Parallelograms on the same base, and between the same parallels, are equal to one another. Let the parallelograms ABCD, EBCF be on the same base BC, and between the sameparallels AF, BC : the...
Vista completa - Acerca de este libro ## The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 páginas
...two equal parts. Wherefore, the opposite aides &c. QED PROPOSITION 35. THEOREM. Parallelograms on the same base, and between the same parallels, are equal to one another. Let the parallelograms A BCD, EBCF be on the same base BC, and between the sameparallels AF,BC: the...
Vista completa - Acerca de este libro ## Annual Report

1868
...triangle be produced, the exterior nngle is greater than cither of the interior opposite angles 15 i 2. Triangles upon the same base, and between the same parallels, are equal to one another 15 3. In any right -angled triangle, the square \rhieh is described upon the side subtending the right...
Vista completa - Acerca de este libro ## Linear drawing, showing the application of practical geometry to trade and ...

Ellis A. Davidson - 1868 - 118 páginas
...not necessarily be of the same shape to be of equal area, and by Euclid* (Book I., prop, xxxvii.), " Triangles upon the same base, and between the same parallels, are equal." If, therefore, lines be drawn from ABCDE and F to G, five triangles will be formed, having the same...
Vista completa - Acerca de este libro ## Modern Methods in Elementary Geometry

E. M. Reynolds - 1868 - 112 páginas
...the parallelogram A CBF. Then ACBF = DBCE. But ABC is half of ACBF; therefore of DBCE. THEOREM IV. Triangles upon the same base and between the same parallels are equal. For each is half of any parallelogram on that base and between those parallels. COR. 1. Triangles upon...
Vista completa - Acerca de este libro ## Examination Papers for Science Schools and Classes

...Extract the square root of 141 • 7 to two places of decimals. (10.) *3. Show that parallelograms and triangles upon the same base and between the same parallels are equal to one another. (10.) 23 5. Angles in the same segment of a circle are equal to one another. *6. Divide a" — SaV...
Vista completa - Acerca de este libro ## Right lines in their places; or, The first principles of drawing and design ...

Ellis A. Davidson - 1869
...construct an Oblong equal to it in area. 33. What is meant by Parallel Lines ? 34. Show by a Drawing that " Triangles upon the same Base and between the same Parallels are equal." 35. Draw any Triangle, and another equal to six of the first added together. 36. Fill a Square with....
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