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" DL is equal to DG, and DA, DB, parts of them, are equal ; therefore the remainder AL is equal to the remainder (3. Ax.) BG : But it has been shewn that BC is equal to BG ; wherefore AL and BC are each of them equal to BG ; and things that are equal to... "
The Elements of Euclid; viz. the first six books, together with the eleventh ... - Página 8
por Euclides - 1814
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 351 páginas
...them equal to BF; and things that are equal to the same thing are equal * to one another; • 1 Ax. therefore the straight line AL is equal to BC. Wherefore,...drawn equal to the given straight line BC. Which was to be done. PROP. III. PROB. From the greater of two given straight lines to cut off a part equal to...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - 317 páginas
...is equal to the remainder (3. Ax.) BG: But it has been shewn that BC is equal to BG ; wherefore AL and BC are each of them equal to BG ; and things that...has been drawn equal to the given straight line BC. ' PROP. III. PROB. From th? greater of two given straight lines to cut off a part equal to the less....
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842
...to the remainder (3 Ax.) BG: But it has been shown, that вc is equal to BG ; wherefore AL and вc are each of them equal to BG ; and things that are...another ; therefore the straight line AL is equal to в c. Wherefore from the given point A, a straight line AL has been drawn equal to the given straight...
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Sporting Scenes and Sundry Sketches: Being the Miscellaneous ..., Volumen1

J. Cypress - 1842
...argument to prove, that a dog runs on four feet; and so a cat is like a fox, and a dog is like a fox, and things that are equal to the same are equal to one another ; and so a cat is a dog, and a dog is a cat; and so, your Honors, I trust I have established my defence,...
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The divine rule of faith and practice; or, A defence of the ..., Volumen1

William Goode - 1842
...Scripture is obscure. You will have to teach a child or a clown by more or less of explanation that things that are equal to the same are equal to one another, while I suppose no man will deny that if this proposition was in the Bible as a point of faith, the...
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The Divine Rule of Faith and Practice: Or, A Defence of the ..., Volumen1

William Goode - 1842
...Scripture is obscure. You will have to teach a child or a clown by more or less of explanation that things that are equal to the same are equal to one another, while I suppose no man will deny that if this proposition was in the Bible as a point of faith, the...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1844 - 317 páginas
...circle GKL, AL is equal to BC. to the same are equal to one another ; therefore the straight lia£ AL is equal to BC. Wherefore, from the given point...has been drawn equal to the given straight line BC. PROP. III. PROB. From the greater of two given straight lines to cut off a part equal to the less....
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 199 páginas
...remainder AL is equal to the remainder]: BG; But it has been shewn, that BC is equal to BG ; wherefore AL and BC are each of them equal to BG; and things that...to BC. Wherefore from the given point A a straight tine AL has been drawn equal to the given straight line BC. Which was to be done. PROPOSITION III....
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845
...BG, wherefore AL and BC are each of them equal to BG; and things which are equal to the same thing are equal to one another ; therefore the straight line AL is equal to BC. (ax. 1.) Wherefore from the given point A a straight line AL has been drawn equal to the given straight...
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1845 - 352 páginas
...things that are equal to the same are equal (I. ax. 1) to one another; therefore the straight line AF is equal to BC. Wherefore from the given point A a straight line AF has been drawn equal to the given straight line BC : which was to be done. PROP. III. PROB. —...
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