Books Books The complements of the parallelograms, which are about the diameter of any parallelogram, are equal to one another. Elements of Geometry, Containing the First Six Books of Euclid - Page 31
by Euclid - 1826 - 180 pages ## The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 pages
...given angle D. Which was to be done. PROP. XLIII. — THEOREM. The complements of the parallelograms which are about the diameter of any parallelogram,...equal to one another. Let ABCD be a parallelogram, of which the diameter is AC, and EH, FG, the parallelograms about AC, that is, through which AC passes,... ## The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 176 pages
...be done. PROPOSITION XLIII. — THEOREM. The complements of the parallelograms, which are about (lie diameter of any parallelogram, are equal to one another. LET abcd be a parallelogram, of which the diameter is ac, and eh, fg, the pa- a , h d. rallelograms about ac, that is, through which... ## Solutions of the Problems and Riders Proposed in the Senate-house ...

William Walton, Charles Frederick Mackenzie - Mathematics - 1854 - 266 pages
...FOR THE MATHEMATICAL TRIPOS 1854. TUESDAY, Jan. 3. 9... 12. 1. THE complements of the parallelograms, which are about the diameter of any parallelogram, are equal to one another. If -BT be the common angular point of these parallelograms, and BD the other diameter, the difference... ## Solutions of the problems and riders proposed in the Senate-house ...

Cambridge univ, exam. papers - 1854 - 282 pages
...J") = 0, and z + aa /3/3 yy TUESDAY, Jan. 3, 1854. 9... 12. 1. THE complements of the parallelograms, which are about the diameter of any parallelogram, are equal to one another. If K be the common angular point of these parallelograms, and BD the other diameter, the difference... ## The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856 - 168 pages
...bases of the two triangles being distinct. XLV.— EUCLID I. 43. The complements of the parallelograms, which are about the diameter of any parallelogram, are equal to one another. Let ABCD (Fig. 35) he a parallelogram, of which the diameter is AC ; and EH, FG, the parallelograms about AC,... ## Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 200 pages
...two right angles; the two straight lines shall be parallel to each other. 3. The complements of the parallelogram, which are about the diameter of any parallelogram, are equal to one anoiher. If one of the complements be a square, the parallelogram will also be a square. 4. If a straight... ## Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858 - 248 pages
...Parallelograms upon equal bases and between the same parallels are equal. 43. L The complements of the parallelogram which are about the diameter of any parallelogram, are equal to one another. 4. II. If a st. line be divided into any two parts, the square of the whole line equals the square... ## Skeleton propositions &c. of Euclid, books i and ii, with ..., Volume 1

Euclides - 1868 - 88 pages
...6 C.2. SCHoL. 7 Recap. ti8 PRoP. XLIII. PRoP. XLIII. THEoR. The complement t of the parallelograms which are about the diameter of any parallelogram, are equal to one another, , DEM. P. 34. Ax. 2. 3. USE. Ex?. 1 Hjp. 1. „ 2. 2 „ 3. Concl. * ])EM. 1 2 Hyp.l. P. 34 3 Hyp.... ## Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 380 pages
...CEF equal to the given angle DQEF PROPOSITION XLIH. THEOREM. The complements of the parallelograms, which are about the diameter of any parallelogram,...equal to one another. Let ABCD be a parallelogram, of which the diameter is AC: and EH, GF the parallelograms about AC, that is, through which AC passes... 