 | 1867 - 964 σελίδες
...to show. The reader will remember that in Problem XXIV (page 308) it was shown that triangles on the same base and between the same parallels are equal to one another, and that triangles on equal bases and between the same parallels are also equal to one another. Now... | |
 | John Playfair - 1806 - 320 σελίδες
...diameter BC divides the parallelogram ACDB intq two equal parts. Therefore, &c. QED j / PROP. XXXV. THEOR. PARALLELOGRAMS upon the same base, and between the same parallels, are equal to one another. gures. Seethe 2d Let the parallelograms ABCD, EBCF be upon the same and 3d fi- base BC, and between... | |
 | Robert Simson - 1806 - 546 σελίδες
...diameter BC divides the paralkio c 4. 1. gram ACDB into two equal parts. QED PROP. XXXV. THEOR. See N. PARALLELOGRAMS upon the same base, and between the same parallels, are equal to one another. Sue OH- Let the parallelograms ABCD, EBCF be upon the same base 2dand3d BC, and between the same parallels... | |
 | John Mason Good - 1813 - 714 σελίδες
...another, and the diameter bisects them, that is, divides them in two equal parts. Prop. XXXV. Theor. Parallelograms upon the same base and between the same parallels, are equal to one another. Prop. XXXVI. Theor. Parallelograms upon equal basis, and between the same parallels, are equal to one... | |
 | George Adams - 1813 - 648 σελίδες
...is supposed to stand, and the altitude is the perpendicular falling thereon from the opposite angle. Parallelograms upon the same base, and between the same parallels, are equal. Parallelograms having the same base, and equal altitudes, are equal. Parallelograms having equal bases,... | |
 | Euclides - 1816 - 588 σελίδες
...diameter BC ^Tli i divides the parallelogram ACDB into two equal" parts. PROP. XXXV. THEOR. , s«eN. PARALLELOGRAMS upon the same base, and between the same parallels, are equal to one another. See the ad Let the parallelograms ABCD, EBCF be upon the same and 3d fi. base BC, and between the same... | |
 | John Playfair - 1819 - 350 σελίδες
...diameter BC divides the parallelogram ACDB into two equal parts. Therefore, &c. Q, ED PROP. XXXV. THEOfc. Parallelograms upon the same base and between the same parallels, are equal to one another. (SEE THE 2d AND 3d FIGURES.) Let thfe parallelograms ABCD, EBCF be upon the same base BC, and between... | |
 | Miles Bland - 1819 - 442 σελίδες
....: EB : GI :: EH : HG, whence (Eucl. v. 15.) EF : FG :: EH : HG and alt. EF . EH :: FG : HG. (23.) If a straight line be divided into two equal, and also into two unequal parts, and be produced, so that the part produced may have to the whole line so produced the same ratio that... | |
 | Miles Bland - 1819 - 444 σελίδες
....-. EB : GI :: EH . HG, whence (Eucl. v. 15.) EF : FG :: EH : HG and alt. EF . EH . FG . HG. (23.) If a straight line be divided into two equal, and also into two unequal parts, and be produced, so that the part produced may have to the whole line so produced the same ratio that... | |
 | John Playfair - 1819 - 354 σελίδες
...AD3=AC3+4BC3-HBC.AC. Now BC3-f BC.AC=AB.BC(3. 2); " and therefore ADs=AC3+4AB.BC. q. ED" PROP. IX. THEOR. 'If /a straight line be divided into two equal, and also into too untquai parts ; the squares of the two unequal parts are together double of the square of half... | |
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Parallelograms upon the same base and between the same parallels, are equal to one another. 
