 | Euclides - 1848 - 52 pàgines
...described figures upon the sides containing the right angle. PROP. XXXII. THEOREM. If two triangles which have two sides of the one proportional to two sides...have their homologous sides parallel to one another; the remaining sides shall be in a straight line. PROP. XXXIII. THEOREM. In equal circles, angles, whether... | |
 | Royal Military Academy, Woolwich - 1853 - 400 pàgines
...Wherefore, in right-angled triangles, etc. <;. ED PROPOSITION XXXII. THEOB. If two triangles, which have two sides of the one proportional to two sides...their . homologous sides parallel to one another, the remaining sides shall be in a straight line. Let ABC, DCE be two triangles which have the two sides... | |
 | Euclides - 1853 - 176 pàgines
...Wherefore, in right-angled triangles, ¿c. QED PROPOSITION XXXII. — THEOREM. If tun triangles which liave two sides of the one proportional to two sides of...as to have their homologous sides parallel to one anotlier, the remaining sides shall be in a straight line. LET abС, d С e be two triangles which... | |
 | Euclides - 1853 - 334 pàgines
...and similarly situated with it. Which was to be proved. PEOP. XXXII. THEOE. If two triangles, which have two sides of the one proportional to two sides of the other, be joined at a common angular point so as to have their homologous sides in the proportion parallel : then their... | |
 | Euclides - 1855 - 270 pàgines
...independent demonstration or confirmation of that proposition. PROP. XXXII. THEOREM. If two triangles, which have two sides of the one proportional to two sides...joined at one angle, so as to have their homologous sities parallel to one another and proceeding from their vertices in the same direction ; the remaining... | |
 | Euclides - 1855 - 230 pàgines
...proportional. If two triangles have two sides in the one proportional to two sides in the other, And be joined at one angle so as to have their homologous sides parallel to one another. Or have the angles opposite to one pair of the homologous sides equal; and those opposite to the other... | |
 | 1857 - 486 pàgines
...six feet high at the distance of 10 miles; determine the earth's radius. 13. If two triangles which have two sides of the one proportional to two sides...have their homologous sides parallel to one another; the remaining sides shall be in a straight line. 14. If AB CD be a parallelogram, and P and Q two points... | |
 | Robert Potts - 1860 - 380 pàgines
...A.) Wherefore, in right-angled triangles, &c. QED PROPOSITION XXXII. THEOREM. If two triangles which have two sides of the one proportional to two sides...have their homologous sides parallel to one another ; the remaining sides shall be in a straight line. Let ABC, DCE he two triangles which have the two... | |
 | Eucleides - 1860 - 396 pàgines
...proportional. If two triangles have two sides in the one proportional to two sides in the other, And be joined at one angle so as to have their homologous sides parallel to one another. Or have the angles opposite to one pair of the homologous sides equal ; and those opposite to the other... | |
 | Euclides - 1860 - 288 pàgines
...similarly described figures on BA and AC (V. B). PBOPOSITION XXXII. THEOREM. If two triangles, which have two sides of the one proportional to two sides of the other, can be joined at one angle, so as to have their homologous sides parallel to one another, the remaining... | |
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If two triangles which have two sides of the one proportional to two sides of the other, be joined at one angle, so as to have their homologous sides parallel to one another ; the remaining sides shall be in a straight line. Let ABC, DCE be two triangles... 
