Intersecting with the x-axis / intersecting the x-axis“proficient <in/at/with>” What is the correct usage?Can any transitive verb be accompanied by a preposition?Using prepositions with timeUsing a verb +prep in a sentence with prepositions at the frontIs “augmented with” or “augmented by” preferable?Verb “escape”: with or without preposition?What is the difference between “rotation around / along” an axis?Single preposition to choose with several verbsUsing “to” with “listen”Fascinated by or with?
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Intersecting with the x-axis / intersecting the x-axis
“proficient <in/at/with>” What is the correct usage?Can any transitive verb be accompanied by a preposition?Using prepositions with timeUsing a verb +prep in a sentence with prepositions at the frontIs “augmented with” or “augmented by” preferable?Verb “escape”: with or without preposition?What is the difference between “rotation around / along” an axis?Single preposition to choose with several verbsUsing “to” with “listen”Fascinated by or with?
.everyoneloves__top-leaderboard:empty,.everyoneloves__mid-leaderboard:empty,.everyoneloves__bot-mid-leaderboard:empty margin-bottom:0;
Which is correct?:
"The function intersects with the x-axis" or "The function intersects the x-axis"
Is the verb 'to intersect' in the mathematical sense accompanied by the preposition 'with'?
prepositions
asked May 9 at 21:18
StallmpStallmp
1526
add a comment |
Which is correct?:
"The function intersects with the x-axis" or "The function intersects the x-axis"
Is the verb 'to intersect' in the mathematical sense accompanied by the preposition 'with'?
prepositions
asked May 9 at 21:18
StallmpStallmp
1526
add a comment |
Which is correct?:
"The function intersects with the x-axis" or "The function intersects the x-axis"
Is the verb 'to intersect' in the mathematical sense accompanied by the preposition 'with'?
prepositions
asked May 9 at 21:18
StallmpStallmp
1526
Which is correct?:
"The function intersects with the x-axis" or "The function intersects the x-axis"
Is the verb 'to intersect' in the mathematical sense accompanied by the preposition 'with'?
prepositions
prepositions
asked May 9 at 21:18
StallmpStallmp
1526
asked May 9 at 21:18
StallmpStallmp
1526
asked May 9 at 21:18
StallmpStallmp
1526
asked May 9 at 21:18
StallmpStallmp
1526
asked May 9 at 21:18
StallmpStallmp
1526
1526
add a comment |
add a comment |
2 Answers
2
active
oldest
votes
The second is correct. Geometrically, lines "intersect one another". It is incorrect to include "with", which would render the verb "intersect" intransitive. The geometrical meaning is OED - sense 1b in the OED:
1b. Geometry. Of a line or surface: To pass through or across (a line
or surface), so as to lie on both sides of it with one point (or line)
in common: = cut v. 15b.
1646 Sir T. Browne Pseudodoxia Epidemica
vi. v. 292 Being in the Æquator it would intersect their Horizon,
and be halfe above and halfe beneath it.
1700 Moxon's Mech.
Exercises: Bricklayers-wks. 30 Where these two Arches Intersect, or
cut each other, there is the Center.
1840 D. Lardner Treat. Geom. x.
125 If two chords intersect each other in a circle, the rectangle
under the segments of the one will be equal to the rectangle under the
segments of the other.
1858 O. W. Holmes Autocrat of Breakfast-table
xii. 330 Keep any line of knowledge ten years and some other line
will intersect it. 1873 B. Williamson Elem. Treat. Differential
Calculus (ed. 2) xiii. §190 Every [straight] line must intersect a
curve of an odd degree in at least one real point.
There is an intransitive form of "intersect", but it does not involve the use of "with". It is used where the intersecting parties are collectively the subject of the verb. It is sense 2a.
2a. intransitive (for reflexive). To cross or cut each another:
chiefly Geometry of lines or surfaces. 1755 in Johnson: quoting
Wiseman in error: see quot. 1676 at interject v. 2a.
1849 G. Grote
Hist. Greece VI. ii. xlvii. 27 Straight streets intersecting at
right angles.
1869 J. Tyndall Notes 9 Lect. on Light 24 The rays
from a luminous point placed beyond the focus intersect at the
opposite side of the lens.
1873 B. Williamson Elem. Treat.
Differential Calculus (ed. 2) xiv. §204 The Lemniscate whose
equation is (x2 + y2)2 = a (x2 − y2)..[has] two branches intersecting
at the origin.
It would seem that the use of "intersect with" is an incorrect form.
answered May 9 at 21:42
WS2WS2
52.8k28117254
It looks like each blockquote includes a number of example sentences; I'd suggest formatting them to appear on separate lines to make it easier to read.
– V2Blast
May 10 at 7:19
@V2Blast I used always to do that, but it is really quite a lot of bother. I think if people are interested enough they will do that for themselves.
– WS2
May 11 at 15:01
The quote is nigh-unreadable with everyone mashed together in one line. It'd be easy to fix in about 2 minutes, but I don't know which citation is associated with which quote.
– V2Blast
May 11 at 18:15
@V2Blast Every quotation begins with a year date. So where you see a year date -start a new line if you must.
– WS2
May 11 at 19:21
Thanks, it's much clearer now.
– V2Blast
May 11 at 19:55
add a comment |
While one might interact with something, one intersects something. From Merriam-Webster:
intersect verb
in·ter·sect | ˌin-tər-ˈsekt
intersected; intersecting; intersects
Definition of intersect
transitive verb
: to pierce or divide by passing through or across : CROSS
// a comet intersecting earth's orbit
// one line intersects another
intransitive verb
1 : to meet and cross at a point
// lines intersecting at right angles
2 : to share a common area : OVERLAP
//where morality and self-interest intersect
answered May 9 at 21:37
wonkypianowonkypiano
1422
add a comment |
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2 Answers
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2 Answers
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The second is correct. Geometrically, lines "intersect one another". It is incorrect to include "with", which would render the verb "intersect" intransitive. The geometrical meaning is OED - sense 1b in the OED:
1b. Geometry. Of a line or surface: To pass through or across (a line
or surface), so as to lie on both sides of it with one point (or line)
in common: = cut v. 15b.
1646 Sir T. Browne Pseudodoxia Epidemica
vi. v. 292 Being in the Æquator it would intersect their Horizon,
and be halfe above and halfe beneath it.
1700 Moxon's Mech.
Exercises: Bricklayers-wks. 30 Where these two Arches Intersect, or
cut each other, there is the Center.
1840 D. Lardner Treat. Geom. x.
125 If two chords intersect each other in a circle, the rectangle
under the segments of the one will be equal to the rectangle under the
segments of the other.
1858 O. W. Holmes Autocrat of Breakfast-table
xii. 330 Keep any line of knowledge ten years and some other line
will intersect it. 1873 B. Williamson Elem. Treat. Differential
Calculus (ed. 2) xiii. §190 Every [straight] line must intersect a
curve of an odd degree in at least one real point.
There is an intransitive form of "intersect", but it does not involve the use of "with". It is used where the intersecting parties are collectively the subject of the verb. It is sense 2a.
2a. intransitive (for reflexive). To cross or cut each another:
chiefly Geometry of lines or surfaces. 1755 in Johnson: quoting
Wiseman in error: see quot. 1676 at interject v. 2a.
1849 G. Grote
Hist. Greece VI. ii. xlvii. 27 Straight streets intersecting at
right angles.
1869 J. Tyndall Notes 9 Lect. on Light 24 The rays
from a luminous point placed beyond the focus intersect at the
opposite side of the lens.
1873 B. Williamson Elem. Treat.
Differential Calculus (ed. 2) xiv. §204 The Lemniscate whose
equation is (x2 + y2)2 = a (x2 − y2)..[has] two branches intersecting
at the origin.
It would seem that the use of "intersect with" is an incorrect form.
answered May 9 at 21:42
WS2WS2
52.8k28117254
It looks like each blockquote includes a number of example sentences; I'd suggest formatting them to appear on separate lines to make it easier to read.
– V2Blast
May 10 at 7:19
@V2Blast I used always to do that, but it is really quite a lot of bother. I think if people are interested enough they will do that for themselves.
– WS2
May 11 at 15:01
The quote is nigh-unreadable with everyone mashed together in one line. It'd be easy to fix in about 2 minutes, but I don't know which citation is associated with which quote.
– V2Blast
May 11 at 18:15
@V2Blast Every quotation begins with a year date. So where you see a year date -start a new line if you must.
– WS2
May 11 at 19:21
Thanks, it's much clearer now.
– V2Blast
May 11 at 19:55
add a comment |
The second is correct. Geometrically, lines "intersect one another". It is incorrect to include "with", which would render the verb "intersect" intransitive. The geometrical meaning is OED - sense 1b in the OED:
1b. Geometry. Of a line or surface: To pass through or across (a line
or surface), so as to lie on both sides of it with one point (or line)
in common: = cut v. 15b.
1646 Sir T. Browne Pseudodoxia Epidemica
vi. v. 292 Being in the Æquator it would intersect their Horizon,
and be halfe above and halfe beneath it.
1700 Moxon's Mech.
Exercises: Bricklayers-wks. 30 Where these two Arches Intersect, or
cut each other, there is the Center.
1840 D. Lardner Treat. Geom. x.
125 If two chords intersect each other in a circle, the rectangle
under the segments of the one will be equal to the rectangle under the
segments of the other.
1858 O. W. Holmes Autocrat of Breakfast-table
xii. 330 Keep any line of knowledge ten years and some other line
will intersect it. 1873 B. Williamson Elem. Treat. Differential
Calculus (ed. 2) xiii. §190 Every [straight] line must intersect a
curve of an odd degree in at least one real point.
There is an intransitive form of "intersect", but it does not involve the use of "with". It is used where the intersecting parties are collectively the subject of the verb. It is sense 2a.
2a. intransitive (for reflexive). To cross or cut each another:
chiefly Geometry of lines or surfaces. 1755 in Johnson: quoting
Wiseman in error: see quot. 1676 at interject v. 2a.
1849 G. Grote
Hist. Greece VI. ii. xlvii. 27 Straight streets intersecting at
right angles.
1869 J. Tyndall Notes 9 Lect. on Light 24 The rays
from a luminous point placed beyond the focus intersect at the
opposite side of the lens.
1873 B. Williamson Elem. Treat.
Differential Calculus (ed. 2) xiv. §204 The Lemniscate whose
equation is (x2 + y2)2 = a (x2 − y2)..[has] two branches intersecting
at the origin.
It would seem that the use of "intersect with" is an incorrect form.
answered May 9 at 21:42
WS2WS2
52.8k28117254
It looks like each blockquote includes a number of example sentences; I'd suggest formatting them to appear on separate lines to make it easier to read.
– V2Blast
May 10 at 7:19
@V2Blast I used always to do that, but it is really quite a lot of bother. I think if people are interested enough they will do that for themselves.
– WS2
May 11 at 15:01
The quote is nigh-unreadable with everyone mashed together in one line. It'd be easy to fix in about 2 minutes, but I don't know which citation is associated with which quote.
– V2Blast
May 11 at 18:15
@V2Blast Every quotation begins with a year date. So where you see a year date -start a new line if you must.
– WS2
May 11 at 19:21
Thanks, it's much clearer now.
– V2Blast
May 11 at 19:55
add a comment |
The second is correct. Geometrically, lines "intersect one another". It is incorrect to include "with", which would render the verb "intersect" intransitive. The geometrical meaning is OED - sense 1b in the OED:
1b. Geometry. Of a line or surface: To pass through or across (a line
or surface), so as to lie on both sides of it with one point (or line)
in common: = cut v. 15b.
1646 Sir T. Browne Pseudodoxia Epidemica
vi. v. 292 Being in the Æquator it would intersect their Horizon,
and be halfe above and halfe beneath it.
1700 Moxon's Mech.
Exercises: Bricklayers-wks. 30 Where these two Arches Intersect, or
cut each other, there is the Center.
1840 D. Lardner Treat. Geom. x.
125 If two chords intersect each other in a circle, the rectangle
under the segments of the one will be equal to the rectangle under the
segments of the other.
1858 O. W. Holmes Autocrat of Breakfast-table
xii. 330 Keep any line of knowledge ten years and some other line
will intersect it. 1873 B. Williamson Elem. Treat. Differential
Calculus (ed. 2) xiii. §190 Every [straight] line must intersect a
curve of an odd degree in at least one real point.
There is an intransitive form of "intersect", but it does not involve the use of "with". It is used where the intersecting parties are collectively the subject of the verb. It is sense 2a.
2a. intransitive (for reflexive). To cross or cut each another:
chiefly Geometry of lines or surfaces. 1755 in Johnson: quoting
Wiseman in error: see quot. 1676 at interject v. 2a.
1849 G. Grote
Hist. Greece VI. ii. xlvii. 27 Straight streets intersecting at
right angles.
1869 J. Tyndall Notes 9 Lect. on Light 24 The rays
from a luminous point placed beyond the focus intersect at the
opposite side of the lens.
1873 B. Williamson Elem. Treat.
Differential Calculus (ed. 2) xiv. §204 The Lemniscate whose
equation is (x2 + y2)2 = a (x2 − y2)..[has] two branches intersecting
at the origin.
It would seem that the use of "intersect with" is an incorrect form.
answered May 9 at 21:42
WS2WS2
52.8k28117254
The second is correct. Geometrically, lines "intersect one another". It is incorrect to include "with", which would render the verb "intersect" intransitive. The geometrical meaning is OED - sense 1b in the OED:
1b. Geometry. Of a line or surface: To pass through or across (a line
or surface), so as to lie on both sides of it with one point (or line)
in common: = cut v. 15b.
1646 Sir T. Browne Pseudodoxia Epidemica
vi. v. 292 Being in the Æquator it would intersect their Horizon,
and be halfe above and halfe beneath it.
1700 Moxon's Mech.
Exercises: Bricklayers-wks. 30 Where these two Arches Intersect, or
cut each other, there is the Center.
1840 D. Lardner Treat. Geom. x.
125 If two chords intersect each other in a circle, the rectangle
under the segments of the one will be equal to the rectangle under the
segments of the other.
1858 O. W. Holmes Autocrat of Breakfast-table
xii. 330 Keep any line of knowledge ten years and some other line
will intersect it. 1873 B. Williamson Elem. Treat. Differential
Calculus (ed. 2) xiii. §190 Every [straight] line must intersect a
curve of an odd degree in at least one real point.
There is an intransitive form of "intersect", but it does not involve the use of "with". It is used where the intersecting parties are collectively the subject of the verb. It is sense 2a.
2a. intransitive (for reflexive). To cross or cut each another:
chiefly Geometry of lines or surfaces. 1755 in Johnson: quoting
Wiseman in error: see quot. 1676 at interject v. 2a.
1849 G. Grote
Hist. Greece VI. ii. xlvii. 27 Straight streets intersecting at
right angles.
1869 J. Tyndall Notes 9 Lect. on Light 24 The rays
from a luminous point placed beyond the focus intersect at the
opposite side of the lens.
1873 B. Williamson Elem. Treat.
Differential Calculus (ed. 2) xiv. §204 The Lemniscate whose
equation is (x2 + y2)2 = a (x2 − y2)..[has] two branches intersecting
at the origin.
It would seem that the use of "intersect with" is an incorrect form.
answered May 9 at 21:42
WS2WS2
52.8k28117254
edited May 11 at 19:26
answered May 9 at 21:42
WS2WS2
52.8k28117254
answered May 9 at 21:42
WS2WS2
52.8k28117254
answered May 9 at 21:42
WS2WS2
52.8k28117254
52.8k28117254
It looks like each blockquote includes a number of example sentences; I'd suggest formatting them to appear on separate lines to make it easier to read.
– V2Blast
May 10 at 7:19
@V2Blast I used always to do that, but it is really quite a lot of bother. I think if people are interested enough they will do that for themselves.
– WS2
May 11 at 15:01
The quote is nigh-unreadable with everyone mashed together in one line. It'd be easy to fix in about 2 minutes, but I don't know which citation is associated with which quote.
– V2Blast
May 11 at 18:15
@V2Blast Every quotation begins with a year date. So where you see a year date -start a new line if you must.
– WS2
May 11 at 19:21
Thanks, it's much clearer now.
– V2Blast
May 11 at 19:55
add a comment |
It looks like each blockquote includes a number of example sentences; I'd suggest formatting them to appear on separate lines to make it easier to read.
– V2Blast
May 10 at 7:19
@V2Blast I used always to do that, but it is really quite a lot of bother. I think if people are interested enough they will do that for themselves.
– WS2
May 11 at 15:01
The quote is nigh-unreadable with everyone mashed together in one line. It'd be easy to fix in about 2 minutes, but I don't know which citation is associated with which quote.
– V2Blast
May 11 at 18:15
@V2Blast Every quotation begins with a year date. So where you see a year date -start a new line if you must.
– WS2
May 11 at 19:21
Thanks, it's much clearer now.
– V2Blast
May 11 at 19:55
It looks like each blockquote includes a number of example sentences; I'd suggest formatting them to appear on separate lines to make it easier to read.
– V2Blast
May 10 at 7:19
It looks like each blockquote includes a number of example sentences; I'd suggest formatting them to appear on separate lines to make it easier to read.
– V2Blast
May 10 at 7:19
@V2Blast I used always to do that, but it is really quite a lot of bother. I think if people are interested enough they will do that for themselves.
– WS2
May 11 at 15:01
@V2Blast I used always to do that, but it is really quite a lot of bother. I think if people are interested enough they will do that for themselves.
– WS2
May 11 at 15:01
The quote is nigh-unreadable with everyone mashed together in one line. It'd be easy to fix in about 2 minutes, but I don't know which citation is associated with which quote.
– V2Blast
May 11 at 18:15
The quote is nigh-unreadable with everyone mashed together in one line. It'd be easy to fix in about 2 minutes, but I don't know which citation is associated with which quote.
– V2Blast
May 11 at 18:15
@V2Blast Every quotation begins with a year date. So where you see a year date -start a new line if you must.
– WS2
May 11 at 19:21
@V2Blast Every quotation begins with a year date. So where you see a year date -start a new line if you must.
– WS2
May 11 at 19:21
Thanks, it's much clearer now.
– V2Blast
May 11 at 19:55
Thanks, it's much clearer now.
– V2Blast
May 11 at 19:55
add a comment |
While one might interact with something, one intersects something. From Merriam-Webster:
intersect verb
in·ter·sect | ˌin-tər-ˈsekt
intersected; intersecting; intersects
Definition of intersect
transitive verb
: to pierce or divide by passing through or across : CROSS
// a comet intersecting earth's orbit
// one line intersects another
intransitive verb
1 : to meet and cross at a point
// lines intersecting at right angles
2 : to share a common area : OVERLAP
//where morality and self-interest intersect
answered May 9 at 21:37
wonkypianowonkypiano
1422
add a comment |
While one might interact with something, one intersects something. From Merriam-Webster:
intersect verb
in·ter·sect | ˌin-tər-ˈsekt
intersected; intersecting; intersects
Definition of intersect
transitive verb
: to pierce or divide by passing through or across : CROSS
// a comet intersecting earth's orbit
// one line intersects another
intransitive verb
1 : to meet and cross at a point
// lines intersecting at right angles
2 : to share a common area : OVERLAP
//where morality and self-interest intersect
answered May 9 at 21:37
wonkypianowonkypiano
1422
add a comment |
While one might interact with something, one intersects something. From Merriam-Webster:
intersect verb
in·ter·sect | ˌin-tər-ˈsekt
intersected; intersecting; intersects
Definition of intersect
transitive verb
: to pierce or divide by passing through or across : CROSS
// a comet intersecting earth's orbit
// one line intersects another
intransitive verb
1 : to meet and cross at a point
// lines intersecting at right angles
2 : to share a common area : OVERLAP
//where morality and self-interest intersect
answered May 9 at 21:37
wonkypianowonkypiano
1422
While one might interact with something, one intersects something. From Merriam-Webster:
intersect verb
in·ter·sect | ˌin-tər-ˈsekt
intersected; intersecting; intersects
Definition of intersect
transitive verb
: to pierce or divide by passing through or across : CROSS
// a comet intersecting earth's orbit
// one line intersects another
intransitive verb
1 : to meet and cross at a point
// lines intersecting at right angles
2 : to share a common area : OVERLAP
//where morality and self-interest intersect
answered May 9 at 21:37
wonkypianowonkypiano
1422
answered May 9 at 21:37
wonkypianowonkypiano
1422
answered May 9 at 21:37
wonkypianowonkypiano
1422
answered May 9 at 21:37
wonkypianowonkypiano
1422
1422
add a comment |
add a comment |
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