ES1
PLATE NO.
Parallel Lines and Planes
Parallel lines appear parallel in all views.
Therefore, you need ONE view showing nonparallel lines to prove that the lines are not
parallel.
SECTION: THUV1
NAME: JUAN FIDEL B. CALAYWAN
GRADE: 10.0
1
ES1
PLATE NO.
P

ES 1 Geometric Construction 1
1. Bisecting a Given Line
-using point A & any radius, R (>half of AB), draw an
arc
-using point B & same radius R, draw another arc
-connect the intersection of the two arcs
-intersection of this line with AB will give you t

Lines and Planes
Parallel Lines and Planes
Relationship Between Two Lines
1.
2.
3.
4.
Parallel
Perpendicular
Intersecting
Skew
Parallel Lines
Concept:
If lines are parallel
in space, they will
appear parallel in
any view taken of
them.
In general, lines

ES1
PLATE NO.
Introduction
Common Abbreviations:
RP Reference Plane
ARP Auxiliary Reference Plane
HRP Horizontal Reference Plane
FRP Frontal Reference Plane
PRP Profile Reference Plane
TV Top View
FV Front View
LOS Line of Sight
TOP
VIEW
HRP
FRP
RIGHT-SID

Chem16 Homework JHASalvador
Give the answer to the following questions.
1. Which phase of matter has definite shape and incompressible?
2. What type of matter cannot be separated by any physical processes but can be decomposed
into other substances throug

ES1
PLATE NO.
Intersecting and Non-Intersecting Lines
2
When two lines intersect, they
have one point in common.
A
B
How to tell if two lines share a
common point?
1
HRP
FRP
A
2
SECTION: THUV1
RP
1
1
B
NAME: JUAN FIDEL B. CALAYWAN
GRADE: 10.0
1
ES1
PLATE

ES1
PLATE NO.
Edge View and True Shape of Planes
How to construct an EV of a plane.
It is easier to construct an EV if you
already have a TL in one of your
views.
TL
A
HRP
FRP
B
C
B
A
C
SECTION: THUV1
NAME: JUAN FIDEL B. CALAYWAN
GRADE: 10.0
1
ES1
PLATE N

ES1
PLATE NO.
Shortest Distance Between Skew Lines
Recall:
When two lines in space are not parallel to each other, but they
also do not intersect, they are skewed and referred to as SKEW
lines.
Recall:
A special and unique kind of skew lines are perpendic

ES 1 Geometric Construction II & III
1. Rectifying an Arc BA
-find center of arc, C
-draw the radius thru C and A and extend
-make perpendicular line to CA passing thru A
-draw chord BA and extend
-get distance 1/2 of chord BA and transfer to the
extensio

ES1
PLATE NO.
MULTI-VIEW PROJECTION
Four types of projection are generally used in making technical
drawings:
(1) Multi-view
(2) Isometric
(3) Oblique
(4) Perspective
All are pictorial except the multi-view.
SECTION: THUV1
NAME:
JUAN FIDEL B. CALAYWAN
GRA

Landform identification chart
Use this chart to identify which landforms are located in or near your
fieldwork site.
Landform
Contour pattern
Description
Steep slope
Contour lines
close together
Gentle slope
Contour lines far
apart
Hill
Rounded area
proje

Geometric Construction 2
Circles
Arcs
Polygon
DETERMINING THE CENTER
Arc
Circle
DETERMINING THE CENTER OF
AN ARC/CIRCLE
Given: an arc
DETERMINING THE CENTER OF
AN ARC
1. Draw an arbitrary line with endpoints on the
circumference of the circle. Label the

Line of Intersection
between Planes
Line of Intesection
P
C
Given:
Two views
of plane
ABC and
MNOP.
O
B
A
M
N
HRP
FRP
C
N
B
M
O
A
P
Line of Intersection
Steps:
1. Determine the piercing
point R of Line MP on
Plane ABC, then locate
the piercing point S of

ES 1: ENGINEERING DRAWING
Geometric Construction 1
Lines
Angles
LINES
Lines
- The shortest distance
between two points
A
- A set of points
organized that have
length and direction,
but no thickness
B
D
F
C
E
Transferring a Given Length
of a Line
Given: L

Geometric Construction 3
Tangent Lines
Tangent Arcs
TANGENT LINES
LINE TANGENT TO THE POINT
ON AN ARC
Given: Arc AB and point C
A
C
B
LINE TANGENT TO THE POINT
ON AN ARC
1.Find the center of the arc,
label it point O.
2.Connect points O and C.
A
3.Extend

Skew Lines
Perpendicular Lines and distance between
Skew Lines
A
Determine the common perpendicular
between the two lines.
SD | ARP
CP
CD
A
D
CP
B
C
B
HRP
FRP
B
CP
A
C
D
Common perpendiculars of lines which appear
perpendicular to the reference planes
HRP

ES1
PLATE NO.
Perpendicular Lines and Planes
Perpendicular lines are lines which have a 90degree relationship to each other.
Lines need NOT be intersecting to be
perpendicular.
SECTION: THUV1
NAME: JUAN FIDEL B. CALAYWAN
GRADE: 10.0
1
ES1
PLATE NO.
Perpen

ES1
PLATE NO.
Line of Intersection of Planes
CONCEPTS:
Any two points which are common to both planes will
determine a straight line which lies in both planes, and is the
intersection of the two planes.
A point common to the two planes is determined by f

ES1
PLATE NO.
True Length and Point View of Lines
A
B
HRP
FRP
A
SECTION: THUV1
B
Additional Abbreviations:
TL True Length
PV Point View
EV Edge View
TS True Shape
The TL of a line is constructed by
projecting the points across a
reference plane parallel t

ES1
PLATE NO.
Piercing Points
J
A
HRP
FRP
B
TL
F
C
B
A
J
F
Two methods in determining the piercing
point will be discussed.
More challenging than finding the
piercing points is showing the correct
visibility of the lines and planes in all
views.
C
SECTION

Potassium permanganate was used as a titrant in order to determine the thiosulfate (S2O32-) content of a
sample with a volume of 10.00 ml. 25.6 ml of the titrant was needed to reach endpoint. On a separate
standardization run, 10.6 ml of the permanganate