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If, at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two straight lines shall be in one and the same straight line.
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... - Σελίδα 24
των Euclid - 1810 - 518 σελίδες
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## A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C ...

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...lines BG and BH show that the angle GBH will in each case be a right angle. PROPOSITION 14. THEOREM. If, at a point in a straight line, two other straight lines, on the opposite sides of it, make the adjacent angles together equal to twi rigid angles, these two...

## Pure mathematics, Τόμος 1

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...line. .'. z ABE = i ABD. Proposition 14. — Theorem. If, at a point in a straight line, two ot/ier straight lines, upon the opposite sides of it, make the adjacent angles toget/ier equal to two right angles, these two straight lines shall be in one and the same straight...

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

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...angles (Ax. 1). Therefore, the angles which one straight line, <tc. QED Proposition 14. — Theorem. If, at a, point in a straight line, two other straight...lines shall be in one and the same straight line. civcn At the point B in the straight line AB, let the two i ABD= straight lines BC, BD, upon tho ansiS?"...

## The Teachers' assistant and pupil teachers' guide, Τόμος 1

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...children of Henry L 3. How was the Great Charter obtained ? Mention some of its provisions. EUCLID. — 1. If at a point in a straight line, two other straight...lines shall be in one and the same straight line. 2. If two triangles have two angles of the one equal to two angles of the other, each to each, and...

## The Pupil teacher, a monthly educational journal. H. Major, ed

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...trapezium. What is the hypothesis, and what is the conclusion in the enunciation of the 5th proposition ? 2. If at a point in a straight line, two other straight...adjacent angles together equal to two right angles, then these two straight lines shall be in one and the same straight line. of the other, the base of...

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

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...opposite sides of it, mate the adjacent angles together equal to two right angles ; then these too straight lines shall be in one and the same straight line. At the point B in the straight line AB, let the two straight lines BC, BD upon the opposite sides ofAB, make the adjacent anglesA BC, ABD...

## Elements of geometry, containing books i. to vi.and portions of books xi ...

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...ABC. PROPOSITION XIV. THEOREM. If, at a point in a straight line, two other straight Unes, upon flu', opposite sides of it, make the adjacent angles together...equal to two right angles, these two straight lines must be in one and the same straight line. At the pt. B in the st. line AB let the st. lines BC, BD,...

## Elements of Geometry, Conic Sections, and Plane Trigonometry

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...the conclusion is a consequence of the supposition. Prop. 3 might be enunciated thus : Hypothesis, if, at a point in a straight line, two other straight...adjacent angles together equal to two right angles, then, Conclusion, these two straight lines are in one and the same straight line. Proposition 3d is...

## Euclid, book i., propositions i. to xxvi., with exercises and alternative ...

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...D, and the angle BAD be bisected by AF ; shew that EAF is a right angle. PROPOSITION XIV. THEOREM. If at a point in a straight line two other straight...the opposite sides of it make the adjacent angles togetlier equal to two right angles, these two straight lines shall be in one and the same straight...

## Elements of geometry, based on Euclid, book i

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...angles (Ax.1). And because at the point H, in the straight lino Gil, the two straight lines KH, HM, on the opposite sides of it, make the adjacent angles together equal to two right angles, KHM is a Therefore KH is in the same straight line with HM (I. 14). ttra.jrht ^n(j Because the straight...