 | Education Ministry of - 1882 - 300 pagina’s
...that the lines bisecting the external angles of an equilateral triangle are parallel to the sides. 2. Triangles on equal bases and between the same parallels are equal to one another. If the perpendiculars drawn from the vertices to the bases of two triangles be equal, the bases being... | |
 | Marianne Nops - 1882 - 278 pagina’s
...halves of equal things are equal (ax. 7). Wherefore triangles, &c.— QED PROPOSITION XXXVIII. THEOREM. Triangles on equal bases and between the same parallels are equal to one another. Let the As ABC, DEF be on equal bases BC, EF, and between the same ||s BF, AD. A ABC shall be equal... | |
 | College of preceptors - 1882 - 528 pagina’s
...base, and also have those sides equal that are terminated at the other extremity. 3. Parallelograms on equal bases and between the same parallels are equal to one another. State (without proof) a converse of this proposition. 4. To divide a given straight line into two parts,... | |
 | 1882 - 498 pagina’s
...bisects it, that is, divides it into two equal parts. 3. Parallelograms upon the same base or upon equal bases and between the same parallels are equal to one another. 4. Bisect a triangle by a line drawn from a given point in one of the sides. 5. From the extremities... | |
 | Education Ministry of - 1882 - 292 pagina’s
...of that which has the greater angle shall be greater than the base of the other. 4. Triangles upon equal bases and between the same parallels are equal to one another. 5. To a given straight line apply a parallelogram that shall be equal to a given rectilineal figure,... | |
 | Mary W I. Shilleto - 1882 - 418 pagina’s
...exterior angles and the third interior .angle meet all at one point. 2. Triangles upon the same, or upon equal bases, and between the same parallels are equal to one another. The straight lines drawn from the angles of a triangle to the points of bisection of the opposite sides... | |
 | Euclides - 1883 - 176 pagina’s
...A ABC is half Q EC (/. 34), and A DBC is half 0 BF, .-. A ABC = A DBC (Ax. 7). QED PROP. 38. THEOR. Triangles on equal bases and between the same parallels are equal to one another. Given triangles ABC, c DEF, on equal bases V BC, EF, and be- \ tween the same ^__^__ parallels BF,... | |
 | Euclid, Isaac Todhunter - 1883 - 428 pagina’s
...the triangle ABC is equal to the triangle DBG. Wherefore, triangles &c. QED PROPOSITION 38. THEOREM. Triangles on equal bases, and between the same parallels, are equal to one another. Let the triangles ABC, DEF be on equal bases BC, EF, and between the same parallels BF, AD : the trianglr... | |
 | Joseph Hughes - 1883 - 568 pagina’s
...the remaining angle ВЕС must be a right angle. Q. t. D. THE PRACTICAL TEACHER. 3. Triangles upon equal bases and between the same parallels are equal to one another. See Prop. XXXVIII. Bk. I. Algebra. I. Prove the rule for finding the least common multiple of two expressions.... | |
 | Euclides - 1884 - 214 pagina’s
...triangle DBC. Axiom 7. Therefore, triangles on the same base &c. QED PROPOSITION XXXVIII. THEOREM. Triangles on equal bases, and between the same parallels, are equal to one another. GIVEN that the triangles ABC and DBF are on equal bases BC, EF, and between the same parallels BF and... | |
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Triangles upon equal bases, and between the same parallels, are equal to one another. 
