Books Books If a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and that... Gradations in Euclid : books i. and ii., with an explanatory preface [&c ... - Page 161
by Euclides - 1858 ## Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862 - 140 pages
...on AC. Conclusion. — Therefore, if a straight line, &o. QED PROPOSITION 8. -THEOREM. If a straight line be divided into Any two parts, four times the...line and one of the parts, together with the square on the other part, is equal to the square on the straight line which is made up of the whole line and... ## The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 pages
...QED PROP. VIII.— THEOREM. If a straight line be divided into any two parts ; 68 THE SCHOOL EUCLID. parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and that part. (References — Prop. i. 3, 31, 34, 36,... ## The elements of plane geometry; or, The first six books of Euclid, ed. by W ...

Euclides - 1863 - 122 pages
...straight line (AB) be divided into ang two parts (at C), Jour times the rectangle (AB, BC) contained bg the whole line, and one of the parts, together with the square of the other part (AC), is equal to the square of the straigh t line (AD), which is made up of the whole andthalpart... ## The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 pages
...other part. Let AB be the given straight line. It is required to divide AB into two parts, so that the rectangle contained by the whole line and one of the parts, shall be equal to the square on the other part. c KD Upon AB describe the square A CSB; (i. 46.) bisect... ## Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - 262 pages
...other part. Let AB be the given straight line. It is required to divide AB into two parts, so that the rectangle contained by the whole line and one of the parts, shall be equal to the square on the other part. FG OKD Upon AB describe the square A CDB; (l. 46.)... ## The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 pages
...straight line, &c, QED PROP. VIII.— THEOREM. If a straight line be divided into any two parts ; then four times the rectangle contained by the whole line, and one of the parts, together with the square uf the other part, is equal to the square of the straight line which is made up of the whole and that... ## Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 pages
...PROPOSITION VIII. THEOREM. lf a straight line be divided into any two parts, four times the reef angle contained by the whole line, and one of the parts, together with the square on the other part, is equal to the square on the straight line, which is made up of the whole and that... ## The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...straight line &c. QED B t> PROPOSITION 8. THEOREM. If a straight line be divided into any two parti, four times the rectangle contained by the whole line and one of the parts, together with the square en the other part, is equal to the square on the straight line which is made up of the whole and that... ## The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...with the square on AC. Wherefore, if a straight line &c. QED A PROPOSITION 8. THEOREM. If a straight line be divided into any two parts, four times the rectangle contained l)ij the whole line and one of the parts, together with the square en the other part, is equal to the... 