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SALV. Your choice, and the reaſon you bring for it in my judg

ment is moſt excellent; ſo that by this time we have proved that

the firſt dimenſion is determined by a right line, the ſecond name

ly the breadth with another line right alſo, and not onely right,

but withall, at right-angles to the other that determineth the

length, and thus we have the two dimenſions of length and

breadth, definite and certain. But were you to bound or termi

nate a height, as for example, how high this Roof is from the pave

ment, that we tread on, being that from any point in the Roof,

we may draw infinite lines, both curved, and right, and all of di

verſe lengths to infinite points of the pavement, which of all theſe

lines would you make uſe of?

ment is moſt excellent; ſo that by this time we have proved that

the firſt dimenſion is determined by a right line, the ſecond name

ly the breadth with another line right alſo, and not onely right,

but withall, at right-angles to the other that determineth the

length, and thus we have the two dimenſions of length and

breadth, definite and certain. But were you to bound or termi

nate a height, as for example, how high this Roof is from the pave

ment, that we tread on, being that from any point in the Roof,

we may draw infinite lines, both curved, and right, and all of di

verſe lengths to infinite points of the pavement, which of all theſe

lines would you make uſe of?

SAGR. I would faſten a line to the Seeling, and with a plummet

that ſhould hang at it, would let it freely diſtend it ſelf till it

ſhould reach well near to the pavement, and the length of ſuch a

thread being the ſtreighteſt and ſhorteſt of all the lines, that could

poſsibly be drawn from the ſame point to the pavement, I would

ſay was the true height of this Room.

that ſhould hang at it, would let it freely diſtend it ſelf till it

ſhould reach well near to the pavement, and the length of ſuch a

thread being the ſtreighteſt and ſhorteſt of all the lines, that could

poſsibly be drawn from the ſame point to the pavement, I would

ſay was the true height of this Room.

SALV. Very well, And when from the point noted in the pave

ment by this pendent thread (taking the pavement to be levell

and not declining) you ſhould produce two other right lines, one

for the length, and the other for the breadth of the ſuperficies of

theſaid pavement, what angles ſhould they make with the ſaid

thread?

ment by this pendent thread (taking the pavement to be levell

and not declining) you ſhould produce two other right lines, one

for the length, and the other for the breadth of the ſuperficies of

theſaid pavement, what angles ſhould they make with the ſaid

thread?

SAGR. They would doubtleſs meet at right angles, the ſaid

lines falling perpendicular, and the pavement being very plain and

levell.

lines falling perpendicular, and the pavement being very plain and

levell.

SALV. Therefore if you aſſign any point, for the term from whence

to begin your meaſure; and from thence do draw a right line, as

the terminator of the firſt meaſure, namely of the length, it will

follow of neceſſity, that that which is to deſign out the largeneſs

or breadth, toucheth the firſt at right-angles, and that that which is

to denote the altitude, which is the third dimenſion, going from the

ſame point formeth alſo with the other two, not oblique but right

angles, and thus by the three perpendiculars, as by three lines, one,

certain, and as ſhort as is poſſible, you have the three dimenſions

A B length, A C breadth, and A D height; and becauſe, clear it

is, that there cannot concurre any more lines in the ſaid point, ſo

as to make therewith right-angles, and the dimenſions ought to

be determined by the ſole right lines, which make between them

ſelves right-angles; therefore the dimenſions are no more but

three, and that which hath three hath all, and that which hath all,

is diviſible on all ſides, and that which is ſo, is perfect, &c.

to begin your meaſure; and from thence do draw a right line, as

the terminator of the firſt meaſure, namely of the length, it will

follow of neceſſity, that that which is to deſign out the largeneſs

or breadth, toucheth the firſt at right-angles, and that that which is

to denote the altitude, which is the third dimenſion, going from the

ſame point formeth alſo with the other two, not oblique but right

angles, and thus by the three perpendiculars, as by three lines, one,

certain, and as ſhort as is poſſible, you have the three dimenſions

A B length, A C breadth, and A D height; and becauſe, clear it

is, that there cannot concurre any more lines in the ſaid point, ſo

as to make therewith right-angles, and the dimenſions ought to

be determined by the ſole right lines, which make between them

ſelves right-angles; therefore the dimenſions are no more but

three, and that which hath three hath all, and that which hath all,

is diviſible on all ſides, and that which is ſo, is perfect, &c.