 | John Robertson (LL.D., of Upton Park sch.) - 1882 - 152 páginas
...each. Find how many he has of each kind. 1. Write down the three postulates. 2. Parallelograms on the same base, and between the same parallels are equal to one another. 3. If a straight line be bisected, and produced to any point, the squares of the whole line thus produced,... | |
 | Joseph Hughes - 1883 - 568 páginas
...Inspector. Euclid. MALES. [All generally understood abbreviations for -sards may be used.] 1. Parallelograms upon the same base, and between the same parallels, are equal to one another. Prop. XXXV., Bk. I. 2. To describe a parallelogram equal to a given rectilineal nre, and having an... | |
 | Euclid, Isaac Todhunter - 1883 - 428 páginas
...divides the parallelogram AGDB into two equal parts. PROPOSITION 85. 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, BG: the... | |
 | Euclides - 1883 - 176 páginas
...area of the first is the same multiple of the area of the other. PROP. 37. THEOR. Triangles on the same base and between the same parallels are equal to one another. Given ABC, DBC, two triangles on the base BC, and between the parallels BC, AD. To prove A ABC = A... | |
 | John Robertson (LL.D., of Upton Park sch.) - 1884 - 154 páginas
...more together 1. Distinguish between a quadrilateral, a parallelogram, a rhombus, and a square. 2. Triangles upon the same base and between the same parallels, are equal to one another. 3. In every triangle, the square of the side subtending either of the acute angles, is less than the... | |
 | Stewart W. and co - 1884 - 272 páginas
...is eqaal to the same EBCH ; therefore, also the parallelogram ABCJ) is equal to EFGH. JLX.XVJI. — Triangles upon the same base, and between the same parallels, are equal to one another. Let the triangles be ABC, DBC. Produce AD both ways to the points E, F, and through B draw BE parallel... | |
 | Euclides - 1884 - 182 páginas
...EFG and EBCaxo halves of equal things ; also draw the inference. 85. PROPOSITION XXXVII. — THEOREM. Triangles upon the same base and between the same parallels are equal to one another. Let the triangles ABC, DBC be upon the same base BC, and between the same parallels AD, BC. Then ABC... | |
 | Woolwich roy. military acad - 1884 - 148 páginas
...this proposition. How many of the exterior angles of any triangle must be obtuse ? 4. Parallelograms upon the same base, and between the same parallels, are equal to one another. 5. Describe a square that shall be equal to a given rectilineal figure. Divide a given straight line... | |
 | 1884 - 266 páginas
...circles of given unequal radii so as to touch each other and a given straight line. 6. Parallelograms upon the same base, and between the same parallels, are equal to one another. 7. In obtuse.angled triangles, if a perpendicular be drawn from any one of the acute angles to the... | |
 | Stewart W. and co - 1884 - 146 páginas
...respectively, then PR and liV are respectively parallel to straight lines KM. and MN. QED SliCTION III. 1. (a) Triangles upon the same base and between the same parallels are equal. (b.) Construct a triangle equal to a given triangle and having a base three times as great (a) See... | |
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TRIANGLES upon the same base, and between the same parallels, are equal to one another. 
