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Llibres Llibres 1 - 10 de 75 sobre Triangles and parallelograms of the same altitude are to one another as their bases..
" Triangles and parallelograms of the same altitude are to one another as their bases. "
The elements of plane and spherical trigonometry. [With] Key - Pāgina 11
per William Rossiter - 1868
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 311 pāgines
...the base. Book VI. PROP. I. THEOR. TRIANGLES of the same altitude are to one another as their bases ; and parallelograms of the same altitude are to one another as their bases. Let the triangles ABC, ACD and the parallelograms EC, CF, have the same altitude ; as the base BC is to...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1806 - 518 pāgines
...Wherefore, solid parallelepipeds, &c. QED . CoR. From this it is manifest that prisms upon triangular bases, of the same altitude, are to one another as their bases. Let the prisms, the bases of which are the triangles AEM, CFG, and NBO, PDQ the triangles opposite to them,...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 pāgines
...Wherefore solid parallelepipeds, &c. QED COR. From this it is manifest, that prisms upon triangular bases, of the same altitude, are to one another as their bases. Let the prisms, the bases of which are the triangles AEM, CFG, and NBO, PDQ the triangles opposite to them,...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 333 pāgines
...parallelepipeds, &c. Q, ED COR. 1. From this it is manifest, that prisms upon triangular bases, and of the same altitude, are to one another as their bases. Let the prisms BNM, DPG, the bases of which are the triangles AEM, CFG, have the same altitude ; complete...
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The Elements of geometry [Euclid book 1-3] in general terms, with ..., Part 3

Euclides - 1821
...A contained in-its consequent; .-. the As are to one another as their bases, (Def. 5. 5.). PART 2. Parallelograms of the same altitude, are to one another as their bases. Let their diagonals be drawn ; then since the As which are the halves of these parallelograms (34. 1.),...
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The new practical builder, and workman's companion, Volum 2

Peter Nicholson - 1823
...2. — Triangles which have equal bases and equal altitudes are equal. THEOREM 50. 143. Rectangles, of the same altitude, are to one another as their bases. Let ABCD, AEFD, be two rectangles, which have a com- qp _c mon altitude AD ; they are to one another as...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 372 pāgines
...Wherefore solid parallelopipeds, &c. QED COR. From this it is manifest, that prisms upon triangular bases, of the same altitude, are to one another as their bases. Let the prisms, the bases of which are the triangles AEM, CFG, and NBO, ;PDQ the triangles opposite to...
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Euclid's Elements of geometry, transl. To which are added ..., Llibres 1-6

Euclides - 1826
...drawn from the vertex to the oase. PROPOSITION I. THEOREM. Triangles, and parallelograms, which have the same altitude, are to one another as their bases. Let there be the triangles ABC, ACD, also the parallelograms EC, CF, which have the same altitude, viz. the perpendicular...
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Elements of Geometry, Containing the First Six Books of Euclid

Euclid, Phillips - 1826 - 180 pāgines
...drawn from the vertex to the base. PROPOSITION I. THEOREM. Triangles, and parallelograms, which have the same altitude, are to one another as their bases. Let there be the triangles ABC, ACD, also the parallelograms EC, CF, which have the same altitude, viz. the perpendicular...
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Elements of arithmetic, algebra and geometry

George Lees - 1826 - 207 pāgines
...Alg. be ; and hencec, that the A ABC : A ACD : : BC : CD. — Wherefore triangles, &c. QED Cor. 1. Parallelograms of the same altitude are to one another as their bases. .. .•/ -% OF GKOMKTKY. Book IV. PROP. II. THEOREM. If a straight line DE be drawn parallel to one...
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