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" THE greater angle of every triangle is subtended by the greater side, or has the greater side opposite to it. "
Elements of Geometry: Containing the First Six Books of Euclid: With a ... - Σελίδα 33
των John Playfair - 1819 - 317 σελίδες
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The first and second books of Euclid explained to beginners, by C.P. Mason

Euclid, Charles Peter Mason - 1872 - 216 σελίδες
...true. Either the side * This proposition is often expressed thus : — " The greater £ of every A is subtended by the greater side, or has the greater side opposite to it." The meaning of this is precisely the same as what is given above. -f Let the beginner carefully distinguish...

The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - 1873 - 588 σελίδες
...is the angle ABC greater than ACB. XTX. — The greater angle of every triangle is subtended bit fhe greater side, or has the greater side opposite to...than the side AB. For, if it be not greater, AC must A either be equal to AB or less than it ; it is not equal, because then the angle ABC would be equal...

Pure mathematics, Τόμος 1

Edward Atkins - 1874 - 426 σελίδες
...GEOMETRY. Z1VABC > ^ BCAAC not = AB AC not < Make ^ = AC^ |CD> .-.DB>BC. Proposition 19. — Theorem. The greater angle of every triangle is subtended by the...angle ABC is greater than the angle BCA; The side AC shall be greater than the side AB. PROOF.— If AC be not greater than AB, it must either be equal...

The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 σελίδες
...is greater than the angle ACB. Therefore the greater side, &c. QED PROPOSITION 19.— Theorem. The greater angle of every triangle is subtended by the...which the angle ABC is greater than the angle BCA. Then the side AC shall be greater than the side AB. A. For, if AC be not greater than AB, AC must either...

A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C ...

Euclides - 1874 - 120 σελίδες
...producing the lea side AB to E, making AE equal to AC, and joining CE. PROPOSITION 19. THEOREM. The greater angle of every triangle is subtended by the...greater side, or has the greater side opposite to it. i Let ABC be a triangle, of which the angle ABC ' • is greater than the angle ACB : the side AC is...

Pure mathematics, Τόμος 1

Edward Atkins - 1874 - 428 σελίδες
...every triangle is subtended by t/n greater side, or lias the greater side opposite to it. / 'ABC >• Let ABC be a triangle, of which the angle ABC is greater <• BCA- than the angle BCA; The side AC shall be greater than the side AB. PROOF. — If AC be not...

Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 σελίδες
...ABC greater than the angle ACB. Therefore, the greater side, £e. QED Proposition 19.— Theorem. The greater angle of every triangle is subtended by the...greater side, or has the' greater side opposite to it. ^"A"IC >• Let ABC be a triangle, of which the angle ABC is greater * UCA. fkun t]10 angie BCA; The...

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 446 σελίδες
...every triangle it tuttended by the greater tide, of, has the greater side opposite to it. Let A. BC lie a triangle of which the angle ABC is greater than the angle BCA. Then the side AC shall be greater than the side AH. For, if A Che not greater than AB, AC must either...

Elements of geometry, based on Euclid, book i

Edward Atkins - 1877 - 72 σελίδες
...side, &c. QE D, AC > AB. / BCD, Mid / ADB = I ABD and . i ABD >i BCD. Proposition 19. — Theorem. The greater angle of every triangle is subtended by the...greater side, or has the greater side opposite to it. ^'VAUC' -» Let ABC be a triangle, of which the angle ABC is greater - *CA' than the angle BCA; The...

Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - 428 σελίδες
...the angle AC B. Therefore, the greater side of every triangle, etc. QED Proposition XIX. Theorem. The greater angle of every triangle is subtended by the...triangle, of which the angle ABC is greater than the angle BC A. Then the side AC shall be greater than the side A B. For, if AC be not greater than AB, AC must...




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