 | Euclid, James Thomson - 1837 - 410 pàgines
...to the solid CD. Wherefore parallelepipeds, &c. Cor. From this it is manifest that triangular prisms 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,... | |
 | Robert Simson - 1838 - 434 pàgines
...of any figure is the straight line drawn from ks vertex perpendicular to the base. PROP. I. THEOR. TRIANGLES 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, viz. the perpendicular... | |
 | Euclid - 1838 - 470 pàgines
...of any figure is the straight line drawn from its vertex perpendicular to the base. PROP. I. THEOR. TRIANGLES 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, viz. the perpendicular... | |
 | Abraham Crocker - 1841 - 486 pàgines
...proportion required, and draw the line of division from one point to the other, and it "ill be done ; for parallelograms of the same altitude are to one another as their bases. (EUCLID, B. 6. prop. 1.) C 0 EXAMPLE. In he parallelogram ABCD, containing 5 acres, cut off a part... | |
 | Euclides - 1841 - 378 pàgines
...the third part of the cylinder. Wherefore every cone, &c. QED PROP. XI. THEOR. Cones and cylinders of the same altitude, are to one another as their bases. Let the cones and cylinders, of which the bases are the circles ABCD, EFGH, and the diameters of their... | |
 | John Playfair - 1842 - 332 pàgines
...solid AB to the solid CD. 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 arc the triangles AEM, CFG, have the same altitude : complete... | |
 | Cambridge univ, exam. papers - 1843 - 50 pàgines
...of curvature at that point. Interpret this result. FRIDAY, January 6. QUESTIONS IN PUKE MATHEMATICS. 1. TRIANGLES and parallelograms of the same altitude are to one another as their bases. "What limitation is there to the alternation of a geometrical proportion ? 2. If a solid angle be contained... | |
 | William Pease - 1843 - 80 pàgines
...of all the triangles equal by Prob. LXIII. after which proceed as in Case I. Reason: " Trianglesr(or parallelograms) of the same altitude are to one another as their bases." PROBLEM LXXVH. To make a square equal to the sum of two or more squares. 1. Let AB, EO.Prob. LXIL.be... | |
 | Euclides - 1845 - 546 pàgines
...third part of the cylinder. Wherefore, every cone, &c. QKD PROPOSITION XI. THEOREM. Cones and cylinders of the same altitude, are to one another as their bases. Let the cones and cylinders, of which the bases are the circles ABCD, EFGH, and the axes KL, MN, and AC,... | |
 | Euclides, James Thomson - 1845 - 382 pàgines
...is the third part of the cylinder. A cone, therefore, &c. PROP. XI. THEOB. — Cones and cylinders of the same altitude, are to one another as their bases. Let the cones and cylinders, of which the bases are the circles ABCD, EFGH, and the axes KL, MN, and AC,... | |
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Triangles and parallelograms of the same altitude are to one another as their bases. 
